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Frank C. van den Bosch

Publications and source records attributed to Frank C. van den Bosch.

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Dwarf Galaxy Rotation Curves and the Core Problem of Dark Matter Halos

The standard cold dark matter (CDM) model has recently been challenged by the claim that dwarf galaxies have dark matter halos with constant density cores. Consequently, numerous alternative dark matter candidates have recently been proposed. In this paper, we scrutinize the observational evidence for the incongruity between dwarf galaxies and the CDM model. To this end, we analyze the rotation curves of 20 late-type dwarf galaxies studied by Swaters (1999). Taking the effects of beam-smearing and adiabatic contraction into account, we fit mass models to these rotation curves with dark matter halos with different cusp slopes, ranging from constant density cores to r^{-2} cusps. Uncertainties in the stellar mass-to-light ratio and the limited spatial sampling of the halo's density distribution hamper a unique mass decomposition. Consequently, the rotation curves in our sample cannot be used to discriminate between dark halos with constant density cores and r^{-1} cusps. We show that the dwarf galaxies analyzed here are consistent with cold dark matter halos in a LCDM cosmology, and that there is thus no need to abandon the idea that dark matter is cold and collisionless. However, the data is also consistent with any alternative dark matter model that produces dark matter halos with central cusps less steep than r^{-1.5}. In fact, we argue that based on existing rotation curves alone at best weak limits can be obtained on cosmological parameters and/or the nature of the dark matter.

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WFPC2 Images of the Central Regions of Early-Type Galaxies - I. The Data

We present high resolution R-band images of the central regions of 67 early-type galaxies obtained with the Wide Field and Planetary Camera 2 (WFPC2) aboard the Hubble Space Telescope (HST). Our sample strikingly confirms the complex morphologies of the central regions of early-type galaxies. In particular, we detect dust in 43 percent of all galaxies, and evidence for embedded stellar disks in a remarkably large fraction of 51 percent. In 14 of those galaxies the disk-like structures are misaligned with the main galaxy, suggesting that they correspond to stellar bars in S0 galaxies. We analyze the luminosity profiles of the galaxies in our sample, and classify galaxies according to their central cusp slope. To a large extent we confirm the clear dichotomy found in previous HST surveys: bright, boxy ellipticals with shallow inner cusps (`core' galaxies) on one hand and faint, disky ellipticals with steep central cusps (`power-law' galaxies) on the other hand. The advantages and shortcomings of classification schemes utilizing the extrapolated central cusp slope are discussed, and it is shown that this cusp slope might be an inadequate representation for galaxies whose luminosity profile slope changes smoothly with radius rather than resembling a broken power-law. In fact, we find evidence for an `intermediate' class of galaxies, that cannot unambiguously be classified as either core or power-law galaxies, and which have central cusp slopes and absolute magnitudes intermediate between those of core and power-law galaxies.

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Disk Galaxies as Cosmological Benchmarks: Cold Dark Matter versus Modified Newtonian Dynamics

We discuss a comparison of models for the formation of disk galaxies both in a Universe dominated by cold dark matter (CDM) and one in which the force law is given by modified Newtonian dynamics (MOND). Our main aim is to address the claim made by McGaugh & de Blok that CDM suffers from severe fine-tuning problems, which are circumvented under MOND. As we show, CDM indeed requires some amount of tuning of the feedback efficiencies to obtain a Tully-Fisher relation (TFR) as steep as observed. However, that same model is in excellent agreement with a wide variety of additional observations. Therefore, the modest amount of feedback needed should not be regarded a fine-tuning problem. Instead, its requirement should be considered a generic prediction for CDM, which might be tested with future observations and with detailed modeling of feedback processes. We also show that galaxy formation in a MOND universe can not simultaneously reproduce the TFR and the lack of high surface brightness dwarf galaxies. We thus conclude that CDM is a more viable theory for the formation of disk galaxies than MOND.

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Semi-Analytical Models for the Formation of Disk Galaxies II. Dark Matter versus Modified Newtonian Dynamics

We present detailed semi-analytical models for the formation of disk galaxies both in a Universe dominated by dark matter (DM), and in one for which the force law is given by modified Newtonian dynamics (MOND). We tune the models to fit the observed near-infrared Tully-Fisher (TF) relation, and compare numerous predictions of the resulting models with observations. The DM and MOND models are almost indistinguishable. They both yield gas mass fractions and dynamical mass-to-light ratios which are in good agreement with observations. Both models reproduce the narrow relation between global mass-to-light ratio and central surface brightness, and reveal a characteristic acceleration, contrary to claims that these relations are not predicted by DM models. Both models require SN feedback in order to reproduce the lack of high surface brightness dwarf galaxies. However, the introduction of feedback to the MOND models steepens the TF relation and increases the scatter, making MOND only marginally consistent with observations. The most serious problem for the DM models is their prediction of steep central rotation curves. However, the DM rotation curves are only slightly steeper than those of MOND, and are only marginally inconsistent with the poor resolution data on LSB galaxies.

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Constraints on the Structure of Dark Matter Halos from the Rotation Curves of Low Surface Brightness Galaxies

We re-examine the disk-halo decompositions of the rotation curves of low surface brightness (LSB) galaxies with V_max > 80 km/s, taking full account of the effects of beam smearing. We show that the rotation curves of these LSB galaxies are, contrary to previous claims, consistent with dark halos with steep central cusps in their density distribution. In fact, the spatial resolution of the data is not sufficient to put any meaningful constraints on the density profiles of their dark halos, or on cosmological parameters. This has important implications for numerous claims made in the literature regarding the halos of LSB galaxies, such as the self-similarity of their rotation curves, and their inconsistency with certain cosmological models or with cold dark matter altogether. Only in one case is the data of sufficient spatial resolution to obtain reliable constraints on the slope of the central density distribution of the dark matter halo. For this single case, we find a central density cusp with a slope 0.55 < alpha < 1.26 at the 99.73 percent confidence levels. This contrasts strongly with the results for two dwarf galaxies (V_max < 70 km/s) that we analyze, which yield alpha < 0.5 at the same level of confidence. This possibly suggests that halos with constant density cores are restricted to low-mass systems. We show that violent outflows of baryonic matter by supernovae feedback can reproduce this mass-dependence of halo cusp slopes.

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Constraints on Galaxy Formation from the Tully-Fisher Relation

New models for the formation of disk galaxies are presented. I discuss the contraints on galaxy formation that follow from fitting the model to the near-infrared Tully-Fisher (TF) relation, with an emphasis on reproducing the small amount of scatter observed. Once the parameters that describe the supernova feedback are tuned to fit the slope of the observed TF relation, the model reproduces the correct amount of TF scatter, and yields gas mass fractions, mass-to-light ratios, and characteristic accelerations that are all in excellent agreement with observations.

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Semi-Analytical Models for the Formation of Disk Galaxies: I. Constraints from the Tully-Fisher Relation

We present new semi-analytical models for the formation of disk galaxies with the purpose of investigating the origin of the near-infrared Tully-Fisher (TF) relation. The models assume that disks are formed by cooling of the baryons inside dark halos with realistic density profiles, and that the baryons conserve their specific angular momentum. Only gas with densities above the critical density given by Toomre's stability criterion is considered eligible for star formation, and a simple recipe for supernovae feedback is included. We emphasize the importance of extracting the proper luminosity and velocity measures from the models, something that has often been ignored in the past. The observed K-band TF relation has a slope that is steeper than simple predictions based on dynamical arguments suggest. Taking the stability related star formation threshold densities into account steepens the TF relation, decreases its scatter, and yields gas mass fractions that are in excellent agreement with observations. In order for the TF slope to be as steep as observed, further physics are required. We argue that the characteristics of the observed near-infrared TF relation do not reflect systematic variations in stellar populations, or cosmological initial conditions, but are governed by feedback. Finally we show that our models provide a natural explanation for the small amount of scatter that makes the TF relation useful as a cosmological distance indicator.

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Inside-Out Bulge Formation and the Origin of the Hubble Sequence

A simple, inside-out formation scenario for bulges is presented. Stability arguments are used to suggest that bulges form out of the low-angular momentum baryons that cool inside a virialized dark halo: a self-regulating mechanism transforms part of the baryonic matter into a bulge component, such that the remainder of the baryons can settle in a stable disk component. We couple this scenario to the Fall & Efstathiou theory of disk formation and search for the parameters and physical processes that determine the disk-to-bulge ratio, and therefore explain to a large extent the origin of the Hubble sequence. This simple galaxy formation scenario can account for both spirals and S0s, but fails to incorporate more bulge dominated systems.

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Substructure in Dark Halos: Orbital Eccentricities and Dynamical Friction

We examine the distributions of eccentricities of orbits within mass distributions like those we see for galaxies and clusters. A comprehensive understanding of these orbital properties is essential to calculate the rates of physical processes relevant to the formation and evolution of galaxies and clusters. We derive the orbital eccentricity distributions for a number of spherical potentials. These distributions depend strongly on the velocity anisotropy, but only slightly on the shape of the potential. We also present high resolution N-body simulations of the orbital decay of satellite systems on eccentric orbits in an isothermal halo. The dynamical friction timescales are found to decrease with increasing orbital eccentricity, but the dependence is weaker than previously suggested. The orbital eccentricity stays remarkably constant throughout the decay; although the eccentricity decreases near pericenter, it increases again near apocenter, such that there is no net circularization. Finally, we discuss a number of applications. We find that the distribution of orbital eccentricities of the globular clusters in the Milky Way is consistent with a close to isotropic velocity distribution. The limited data on the galactic system of satellites, however, appears to be different and warrants further investigation as a clue to the formation and evolution of our Milky Way and its halo substructure.

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Nuclear stellar discs in early-type galaxies --- II. Photometric properties

Hubble Space Telescope images of two early-type galaxies harboring both nuclear and outer stellar discs are studied in detail. By means of a photometric decomposition, the images of NGC 4342 and NGC 4570 are analyzed and the photometric properties of the nuclear discs investigated. We find a continuity of properties in the parameter space defined by the central surface brightness and the scalelength of discs in spirals, S0s and embedded discs in ellipticals, in the sense that the nuclear discs extend the observed disc properties even further towards smaller scalelengths and brighter central surface brightnesses. When including the nuclear discs, disc properties span more than four orders of magnitude in both scalelength and central surface brightness. The nuclear discs studied here are the smallest and brightest stellar discs known, and as such, they are as extreme in their photometric properties as Malin I, when compared to typical galactic discs that obey Freeman's law. We discuss a possible formation scenario in which the double-disc structure observed in these galaxies has been shaped by now dissolved bars. Based on the fact that the black holes known to exist in some of these galaxies have masses comparable to those of the nuclear discs, we explore a possible link between the black holes and the nuclear discs.

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Evidence for a massive BH in the S0 galaxy NGC 4342

We present axisymmetric dynamical models of the edge-on S0 galaxy NGC 4342. A combination of observations from the ground and with the Hubble Space Telescope (HST) has shown that NGC 4342 rotates rapidly and has a strong central increase in velocity dispersion. We construct simple two-integral Jeans models as well as fully general, three-integral models. The latter are built using a modified version of Schwarzschild's orbit-superposition technique. The two-integral Jeans models suggest a black hole (BH) mass between 3 and 6x10^8 Msun, depending on the data set used to constrain the model, but they fail to fit the details of the observed kinematics. The three-integral models can fit all ground-based and HST data simultaneously, but only when a central BH is included. Models without BH are ruled out to a confidence level better than 99.73 per cent. We determine a BH mass of 3x10^8 Msun. This corresponds to 2.6 per cent of the total mass of the bulge, making NGC 4342 one of the galaxies with the highest BH mass to bulge mass ratio currently known. The models that best fit the data do not have a two-integral phase-space distribution function. They have rather complex dynamical structures: the velocity anisotropies are strong functions of radius reflecting the multi-component structure of this galaxy. The best fit model without BH tries to fit the high central velocity dispersion by placing stars on radial orbits. The measured rotation velocities, however, restrict the amount of radial anisotropy such that the central velocity dispersion measured with the HST can only be fit when a massive BH is included in the models.

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The Formation of Disk-Bulge-Halo Systems and the Origin of the Hubble Sequence

We investigate the formation of disk-bulge-halo systems by including bulges in the Fall & Efstathiou theory of disk formation. This allows an investigation of bulge dominated disk galaxies, such as S0s and disky ellipticals. The aim of this paper is to examine whether spirals, S0s, and disky elllipticals all can be incorporated in one simple galaxy formation scenario. We investigate an inside-out formation scenario in which the inner, low angular momentum material is assumed to form the bulge. Stability arguments are used to suggest that this bulge formation is a self-regulating process in which the bulge grows until it is massive enough to allow the remaining gas to form a stable disk component. We search for the parameters and physical processes that determine the disk-to-bulge ratio, and therewith explain to a large extent the origin of the Hubble sequence. The spread in halo angular momenta coupled with a spread in the formation redshifts can explain the observed spread in disk properties and disk-to-bulge ratios from spirals to S0s. Disky ellipticals, however, are too compact to be incorporated. Upon introducing a galaxy formation efficiency that depends on redshift, as suggested by the small amount of scatter in the observed Tully-Fisher relation, this scenario naturally predicts a density-morphology relation, the amplitude of which depends on the baryon fraction of the Universe.

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Bar driven evolution of S0s: the edge-on galaxy NGC 4570

We present circumstantial evidence that the central region of the edge-on S0 galaxy NGC 4570, which harbors a 150 pc scale nuclear disc in addition to its main outer disc, has been shaped under the influence of a small (approx. 500pc) bar. This is based on the finding of two edge-on rings, whose locations are consistent with the Inner Lindblad and Ultra Harmonic Resonances of a rapidly tumbling triaxial potential. Observed features in the photometry and rotation curve nicely correspond with the positions of the main resonances, strengthening the case for a tumbling bar potential. The relative blue colour of the ILR ring, and the complete absence of any detected ISM, indicates that the nuclear ring is made of relatively young (< 2 Gyr) stars. We discuss a possible secular-evolution scenario for this complex multi-component galaxy, which may also apply to many other S0-galaxies with observed rings and/or multiple disc-components.

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Nuclear stellar discs in early-type galaxies -- I. HST and WHT observations

We present multi-colour (U, V and I) photometry obtained with the second Wide Field and Planetary Camera (WFPC2) on the Hubble Space Telescope (HST), and spectra taken with the William Herschel Telescope (WHT) and the HST Faint Object Spectrograph (FOS), for the early-type galaxies NGC 4342 and NGC 4570. These galaxies are intermediate between ellipticals and lenticulars, and they both have a small nuclear stellar disc in addition to their main outer disc. Colour images reveal no colour differences between the nuclear discs and the bulges. Comparison of the U-V and V-I colours with stellar population models indicates that the central regions of both galaxies are of intermediate age (approx. 8 Gyr) and of high metallicity. The long-slit WHT spectra and the FOS spectra (of four times higher spatial resolution) reveal that both galaxies are rapidly rotating, and they both have velocity dispersions that increase strongly towards the centre. The FOS spectra of NGC 4342 indicate a central velocity dispersion of 420 km/s, higher than the 320 km/s measured from the WHT spectra. Also, the nuclear rotation gradient measured with the FOS is steeper than that measured with the WHT; it reaches V = 200 km/s at 0.25''. The rapid stellar motions seen in the centre of NGC 4342 suggest a large central mass concentration, possibly a massive black hole. The kinematics of the more massive NGC 4570 are less spectacular, with a central velocity dispersion of 250 km/s and a central rotation curve that reaches only 60 km/s at 0.25''.

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A Nuclear Disk and massive BH in NGC 4342

We discuss photometric and spectroscopic data of the E/S0 galaxy NGC 4342, obtained with the Hubble Space Telescope (HST). This galaxy harbors, in addition to its outer disk, a very small, stellar disk in its nucleus. Jeans-modeling suggests the presence of a 3-6$\times 10^8 \Msun$ black hole (BH) in the nucleus. This galaxy therefore deviates significantly from the correlation between BH mass and bulge mass, found for other BH candidate galaxies.

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On the Uncertainties of the Central Density in Axisymmetric Galaxies due to Deprojection

The deprojection of the surface brightness of axisymmetric galaxies is indeterminate unless the galaxy is seen edge-on. In practice, this problem is often circumvented by making ad hoc assumptions about the density distribution. However, one can redistribute the density and still project to the same surface brightness. This is similar to adding so-called konus densities to the assumed density distribution. In this paper we investigate the maximum konus density that one can add to elliptical galaxies. In particular we focus on the uncertainties in the central densities of axisymmetric, (cusped) elliptical galaxies due to the non-uniqueness of the deprojection. In order to estimate the dynamical influence of konus densities on the central region, we calculate the mass fraction they can add to the center. We show that this mass fraction is at most a few percent. We also investigate the dynamical effect of cusped konus densities We show that konus densities can only be moderately cusped, and that an increase in cusp slope results in a decrease of the mass fraction added to the center by the konus density. We illustrate all this by the specific example of M32, and show that the uncertainty in the central mass due to deprojection is negligible compared to the inferred mass of the central black hole (BH) in this galaxy.

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Self-Consistent, Axisymmetric Two_Integral Models of Elliptical Galaxies with embedded Nuclear Discs

Recently, observations with the Hubble Space Telescope have revealed small stellar discs embedded in the nuclei of a number of ellipticals and S0s. In this paper we construct two-integral axisymmetric models for such systems. We calculate the even part of the phase-space distribution function, and specify the odd part by means of a simple parameterization. We investigate the photometric as well as the kinematic signatures of nuclear discs, including their velocity profiles (VPs), and study the influence of seeing convolution. The rotation curve of a nuclear disc gives an excellent measure of the central mass-to-light ratio whenever the VPs clearly reveal the narrow, rapidly rotating component associated with the nuclear disc. Steep cusps and seeing convolution both result in central VPs that are dominated by the bulge light, and these VPs barely show the presence of the nuclear disc, impeding measurements of the central rotation velocities of the disc stars. However, if a massive BH is present, the disc component of the VP can be seen in the wing of the bulge part, and measurements of its mean rotation provide a clear signature of the presence of the BH. This signature is insensitive to the uncertainties in the velocity anisotropy, which often lead to ambiguity in the interpretation of a central rise in velocity dispersion as due to a central BH.

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Dynamics of the nuclear gas & dust disc in the E4 radio galaxy NGC 7052

We present high spatial resolution ground-based broad-band imaging, H-alpha +[NII] narrow-band imaging and long-slit spectroscopy for the E4 radio galaxy NGC 7052, which has a nuclear dust disc. We detect ionized gas with a LINER spectrum, residing also in a nuclear disc. The gas rotates rapidly and the emission line widths increase towards the nucleus. The images are well fit by an axisymmetric model with the gas and dust in a disc of 1.5" radius (340 pc) in the equatorial plane of the stellar body, viewed at an inclination of 70 degrees. We assume the gas to be on circular orbits in the equatorial plane, with in addition a local turbulent velocity dispersion. The circular velocity is calculated from the combined gravitational potential of the stars and a possible nuclear black hole. The observed gas rotation curve is well fit, either with or without a black hole. Turbulent velocities >300 km/s must be present at radii <0.5" to fit the observed nuclear line widths. Models with a black hole and no turbulence can also fit the line widths, but these models cannot fit the observed nuclear line shapes. Models with both a black hole and gas turbulence can fit the data well, but the black hole is not required by the data, and if present, its mass must be < 5 x 10^8 solar masses. This upper limit is 5 times smaller than the black hole mass inferred for M87 from HST data. Our modelling and analysis techniques will be useful also for the study of the kinematics of nuclear gas discs in other galaxies. Such data will yield important information on the presence of massive black holes.

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