arXiv subjects

Ralf Bender

Publications and source records attributed to Ralf Bender.

At least 127 records · Page 7Linked to original sources

arXiv2002

Axisymmetric Dynamical Models of the Central Regions of Galaxies

We present axisymmetric, orbit superposition models for 12 galaxies using data taken with the Hubble Space Telescope (HST) and ground-based observatories. In each galaxy, we detect a central black hole (BH) and measure its mass to accuracies ranging from 10% to 70%. We demonstrate that in most cases the BH detection requires both the HST and ground-based data. Using the ground-based data alone does provide an unbiased measure of the BH mass (provided they are fit with fully general models), but at a greatly reduced significance. The most significant correlation with host galaxy properties is the relation between the BH mass and the velocity dispersion of the host galaxy; we find no other equally strong correlation, and no second parameter that improves the quality of the mass-dispersion relation. We are also able to measure the stellar orbital properties from these general models. The most massive galaxies are strongly biased to tangential orbits near the BH, consistent with binary BH models, while lower-mass galaxies have a range of anisotropies, consistent with an adiabatic growth of the BH.

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arXiv2002

The puzzlingly small CaII triplet absorption in elliptical galaxies

We measure the central values (within Re/8) of the CaII triplet line indices CaT* and CaT and the Paschen index PaT at 8600 AA for a 93%-complete sample of 75 nearby early-type galaxies with BT<12 and Vgal<2490 km/s. We find that the values of CaT* are constant to within 5% over the range of central velocity dispersions 100<sigma<340 km/s, while the PaT (and CaT) values are mildly anti-correlated with sigma. Using simple and composite stellar population models, we show that: a) The measured CaT* and CaT are lower than expected from simple stellar population models (SSPs) with Salpeter initial mass functions (IMFs) and with metallicities and ages derived from optical Lick (Fe, Mg and Hbeta) indices. Uncertainties in the calibration, the fitting functions and the SSP modeling taken separately cannot explain the discrepancy. On the average, the observed PaT values are within the range allowed by the models and the large uncertainties in the fitting functions. b) The steepening of the IMF at low masses required to lower the CaT* and CaT indices to the observed values is incompatible with the measured FeH index at 9916 AA and the dynamical mass-to-light ratios of ellipticals. c) Composite stellar populations with a low-metallicity component reduce the disagreement, but rather artificial metallicity distributions are needed. Another explanation may be that calcium is indeed underabundant in ellipticals.

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arXiv2002

Galaxies with a Central Minimum in Stellar Luminosity Density

We used HST WFPC2 images to identify six early-type galaxies with surface- brightness profiles that decrease inward over a limited range of radii near their centers. The implied luminosity density profiles of these galaxies have local minima interior to their core break radii. NGC 3706 harbors a high surface brightness ring of starlight with radius ~20 pc. Its central structure may be related to that in the double-nucleus galaxies M31 and NGC 4486B. NGC 4406 and NGC 6876 have nearly flat cores that on close inspection are centrally depressed. Colors for both galaxies imply that this is not due to dust absorption. The surface brightness distributions of both galaxies are consistent with stellar tori that are more diffuse than the sharply defined system in NGC 3706. The remaining three galaxies are the brightest cluster galaxies in A260, A347, and A3574. Color information is not available for these objects, but they strongly resemble NGC 4406 and NGC 6876 in their cores. The thin ring in NGC 3706 may have formed dissipatively. The five other galaxies resemble the endpoints of some simulations of the merging of two gas-free stellar systems, each harboring a massive nuclear black hole. In one version of this scenario, diffuse stellar tori are produced when stars initially bound to one black hole are tidally stripped away by the second black hole. Alternatively, some inward-decreasing surface-brightness profiles may reflect the ejection of stars from a core during the hardening of the binary black hole created during the merger.

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arXiv2002

The slope of the black-hole mass versus velocity dispersion correlation

Observations of nearby galaxies reveal a strong correlation between the mass of the central dark object M and the velocity dispersion sigma of the host galaxy, of the form log(M/M_sun) = a + b*log(sigma/sigma_0); however, published estimates of the slope b span a wide range (3.75 to 5.3). Merritt & Ferrarese have argued that low slopes (<4) arise because of neglect of random measurement errors in the dispersions and an incorrect choice for the dispersion of the Milky Way Galaxy. We show that these explanations account for at most a small part of the slope range. Instead, the range of slopes arises mostly because of systematic differences in the velocity dispersions used by different groups for the same galaxies. The origin of these differences remains unclear, but we suggest that one significant component of the difference results from Ferrarese & Merritt's extrapolation of central velocity dispersions to r_e/8 (r_e is the effective radius) using an empirical formula. Another component may arise from dispersion-dependent systematic errors in the measurements. A new determination of the slope using 31 galaxies yields b=4.02 +/- 0.32, a=8.13 +/- 0.06, for sigma_0=200 km/s. The M-sigma relation has an intrinsic dispersion in log M that is no larger than 0.3 dex. In an Appendix, we present a simple model for the velocity-dispersion profile of the Galactic bulge.

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arXiv2002

The Epochs of Early-Type Galaxy Formation in Clusters and in the Field

We compute new population synthesis models of Lick absorption line indices with variable alpha/Fe ratios and use them to derive average ages, metallicities, and alpha/Fe element enhancements for a sample of 126 field and cluster early-type galaxies. Calibrating the models on galactic globular clusters, we show that any population synthesis model being based on stellar libraries of the Milky Way is intrinsically biased towards super-solar alpha/Fe ratios at metallicities below solar. We correct for this bias, so that the models presented here reflect constant alpha/Fe ratios at all metallicities. The use of such unbiased models is essential for studies of stellar systems with sub-solar metallicities like (extragalactic) globular clusters or dwarf galaxies. For the galaxy sample investigated here, we find a clear correlation between alpha/Fe and velocity dispersion. Zero-point, slope, and scatter of this correlation turn out to be independent of the environment. Additionally, the alpha/Fe ratios and mean ages of elliptical galaxies are well correlated, i.e. galaxies with high alpha/Fe ratios have also high average ages. This strongly reinforces the view that the alpha/Fe element enhancement in ellipticals is produced by short star formation timescales rather than by a flattening of the initial mass function. The more massive the galaxy, the shorter is its star formation timescale, and the higher is the redshift of the bulk of star formation, independent of the environmental density. We show that this finding is incompatible with the predictions from hierarchical galaxy formation models, in which star formation is tightly linked to the assembly history of dark matter halos.

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arXiv2001

Line-of-sight velocity distributions of low-luminosity elliptical galaxies

The shape of the line-of-sight velocity distribution (LOSVD) is measured for a sample of 14 elliptical galaxies, predominantly low-luminosity ellipticals. The sample is dominated by galaxies in the Virgo cluster but also contains ellipticals in nearby groups and low density environments. The parameterization of the LOSVD due to Gerhard and van der Marel and Franx is adopted, which measures the asymmetrical and symmetrical deviations of the LOSVD from a Gaussian by the amplitudes h3 and h4 of the Gauss-Hermite series. Rotation, velocity dispersion, h3 and h4 are determined as a function of radius for both major and minor axes. Non-Gaussian LOSVDs are found for all galaxies along the major axes. Deviations from a Gaussian LOSVD along the minor axis are of much lower amplitude if present at all. Central decreases in velocity dispersion are found for three galaxies. Two galaxies have kinematically-decoupled cores: NGC 4458 and the well-known case of NGC 3608.

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arXiv2000

Dynamical family properties and dark halo scaling relations of giant elliptical galaxies

Based on a uniform dynamical analysis of line-profile shapes for 21 luminous round elliptical galaxies, we have investigated the dynamical family relations of ellipticals: (i) The circular velocity curves (CVCs) of elliptical galaxies are flat to within ~10% for R>~0.2R_e. (ii) Most ellipticals are moderately radially anisotropic; their dynamical structure is surprisingly uniform. (iii) Elliptical galaxies follow a Tully-Fisher (TF) relation, with v_c^max=300 km/s for an L_B^* galaxy. At given v_c^max, they are ~1 mag fainter in B and appear to have slightly lower baryonic mass than spirals even for maximum M/L_B. (iv) The luminosity dependence of M/L_B is confirmed. The tilt of the Fundamental Plane is not caused by dynamical non-homology, nor only by an increasing dark matter fraction with L. It is, however, consistent with stellar population models based on published metallicities and ages. The main driver is therefore probably metallicity, and a secondary population effect is needed to explain the K-band tilt. (v) These results make it likely that elliptical galaxies have nearly maximal M/L_B (minimal halos). (vi) Despite the uniformly flat CVCs, there is a spread in cumulative M/L_B(r). Some galaxies have no indication for dark matter within 2R_e, whereas others have local M/L_Bs of 20-30 at 2R_e. (vii) In models with maximum stellar mass, the dark matter contributes ~10-40% of the mass within R_e. (viii) The corresponding halo core densities and phase-space densities are at least ~25 times larger and the halo core radii ~4 times smaller than in spiral galaxies of the same v_c^max. The increase in M/L sets in at ~10 times larger acceleration than in spirals. This could imply that elliptical galaxy halos collapsed at high redshift or that some of the dark matter in ellipticals might be baryonic. (abridged)

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arXiv2000

Black Hole Mass Estimates from Reverberation Mapping and from Spatially Resolved Kinematics

Black hole (BH) masses that have been measured by reverberation mapping in active galaxies fall significantly below the correlation between bulge luminosity and BH mass determined from spatially resolved kinematics of nearby normal galaxies. This discrepancy has created concern that one or both techniques suffer from systematic errors. We show that BH masses from reverberation mapping are consistent with the recently discovered relationship between BH mass and galaxy velocity dispersion. Therefore the bulge luminosities are the probable source of the disagreement, not problems with either method of mass measurement. This result underscores the utility of the BH mass -- velocity dispersion relationship. Reverberation mapping can now be applied with increased confidence to galaxies whose active nuclei are too bright or whose distances are too large for BH searches based on spatially resolved kinematics.

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arXiv2000

A Relationship Between Nuclear Black Hole Mass and Galaxy Velocity Dispersion

We describe a correlation between the mass M_BH of a galaxy's central black hole and the luminosity-weighted line-of-sight velocity dispersion sigma_e within the half-light radius. The result is based on a sample of 26 galaxies, including 13 galaxies with new determinations of black hole masses from Hubble Space Telescope measurements of stellar kinematics. The best-fit correlation is M_BH = 1.2 (+-0.2) x 10^8 M_sun (sigma_e/200 km/s)^(3.75 (+-0.3))over almost three orders of magnitude in M_BH; the scatter in M_BH at fixed sigma_e is only 0.30 dex and most of this is due to observational errors. The M_BH-sigma_e relation is of interest not only for its strong predictive power but also because it implies that central black hole mass is constrained by and closely related to properties of the host galaxy's bulge.

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arXiv1999

Stellar yields and chemical evolution - The solar neighborhood as a calibrator

Uncertainties in stellar nucleosynthesis and their impact on models of chemical evolution are discussed. Comparing the Type II supernova nucleosynthesis prescriptions from Woosley & Weaver (1995) and Thielemann, Nomoto, & Hashimoto (1996), it turns out that the latter predict higher Mg/Fe ratios that are more favorable in reproducing the observed abundance features of the Milky Way. Provided that chemical evolution models are calibrated on the solar neighborhood, they offer a powerful tool to constrain structure formation. In particular, galaxy formation models that yield star formation histories significantly longer than 1 Gyr fail to reproduce the super-solar Mg/Fe ratios observed in elliptical galaxies.

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arXiv1999

Axisymmetric, 3-Integral Models of Galaxies: A Massive Black Hole in NGC3379

We fit axisymmetric 3-integral dynamical models to NGC3379 using the line-of-sight velocity distribution obtained from HST/FOS spectra of the galaxy center and ground-based long-slit spectroscopy along four position angles, with the light distribution constrained by WFPC2 and ground-based images. We have fitted models with inclinations from 29 (intrinsic galaxy type E5) to 90 degrees (intrinsic E1) and black hole masses from 0 to 1e9 M_solar. The best-fit black hole masses range from 6e7 to 2e8 M_solar, depending on inclination. The velocity ellipsoid of the best model is not consistent with either isotropy or a two-integral distribution function. Along the major axis, the velocity ellipsoid becomes tangential at the innermost bin, radial in the mid-range radii, and tangential again at the outermost bins. For the acceptable models, the radial to tangential dispersion in the mid-range radii ranges from 1.1 < sigma_r / sigma_t < 1.7. Compared with these 3-integral models, 2-integral isotropic models overestimate the black hole mass since they cannot provide adequate radial motion. However, the models presented in this paper still contain restrictive assumptions-namely assumptions of constant M/L and spheroidal symmetry-requiring yet more models to study black hole properties in complete generality.

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arXiv1999

The orbital structure and potential of NGC 1399

Accurate and radially extended stellar kinematic data reaching R=97'' from the center are presented for the cD galaxy of Fornax, NGC 1399. The stellar rotation is small (<= 30 km/s); the stellar velocity dispersion remains constant at 250-270 km/s. The deviations from Gaussian line of sight velocity distributions are small, at the percent level. We construct dynamical models of the galaxy, deprojecting its nearly round (E0-E1) surface brightness distribution, and determining the spherical distribution function that best fits (at the 4 percent level) the kinematic data on a grid of parametrized potentials. We find that the stellar orbital structure is moderately radial, with beta=0.3 +- 0.1 for R<=60'', similar to results found for some normal giant ellipticals. The gravitational potential is dominated by the luminous component out to the last data point, with a mass-to-light ratio M/L_B=10 solar units, although the presence of a central black hole of M approx 5 x 10^8 solar masses is compatible with the data in the inner 5 arcsec. The influence of the dark component is marginally detected starting from R approx 60''. Using the radial velocities of the globular clusters and planetary nebulae of the galaxy we constrain the potential more strongly, ruling out the self-consistent case and finding that the best fit solution agrees with X-ray determinations. The resulting total mass and mass-to-light ratio are M=1.2-2.5 x 10^12 solar masses and M/L_B=22-48 M solar units inside R=417'' or 35 kpc for D=17.6 Mpc.

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arXiv1998

Elliptical Galaxies: Detailed Structure, Scaling Relations and Formation

The last decade of research on elliptical galaxies has produced a wealth of new information concerning both their detailed structure and their global scaling relations. We review the old and new results about isophote shapes and subcomponents (Sect. 1), scaling relations of global parameters and redshift evolution (Sect. 2), and the ages, metallicities (Sect. 3) and abundance ratios (Sect. 4). Finally, we confront the observations with hierarchical formation scenarios of elliptical galaxies (Sect. 5). The picture emerging from this variety of observational evidence is broadly consistent with the merging scenario of hierarchical structure formation models, but the stellar population properties of ellipticals pose some challanges. The formation of ellipticals must have always involved some dissipation. The gas fraction at the last major merger event presumably has strong influence on their present day properties. Most elliptical galaxies are old systems, but disky ellipticals might be younger than boxy objects and have more extended star formation histories. The small scatter and the redshift variations of the scaling relation are compatible with passive evolution. The high Mg/Fe overabundances of luminous (boxy) ellipticals point to a rapid star formation episode, while low-luminosity objects have values of Mg/Fe nearly solar, allowing for an extended star formation history.

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arXiv1998

Dynamical analysis of elliptical galaxy halos

We describe a non-parametric method for determining both the anisotropy and mass profiles of elliptical galaxies from velocity dispersions and velocity profile shapes along the line of sight. In this way, mass-to-light ratios out to 2-3 effective radii can be derived from stellar absorption line spectroscopy. We discuss two illustrative cases, NGC 1399 and NGC 6703. So far, all ellipticals which have been analysed show evidence for dark matter dominating in the outer parts. The circular velocity curves are nearly flat, as in spiral galaxies.

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arXiv1998

The Mass Distribution in the Elliptical Galaxy NGC 3377: Evidence for a 2 x 10**8 Solar Mass Black Hole

We have measured the mass distribution in the central 35" = 1.7 kpc of the E5 galaxy NGC 3377. Stellar rotation velocity and velocity dispersion profiles (seeing sigma_* = 0.20 - 0.56 arcsec) and V-band surface photometry (sigma_* = 0.20 - 0.26 arcsec) have been obtained with the Canada-France-Hawaii Telescope. NGC 3377 is kinematically similar to M32: the central kinematic gradients are steep. The apparent velocity dispersion rises from 95 +- 2 km/s at 1" <= r <= 4" to 178 +- 10 km/s at the center. To search for a central black hole, we derive three-dimensional velocity and velocity dispersion fields that fit our observations and Hubble Space Telescope surface photometry after projection and seeing convolution. Isotropic models imply that the mass-to-light ratio rises by a factor of ~ 4 at r < 2" to M/L_V > 10. If the mass-to-light ratio of the stars is constant with radius, then NGC 3377 contains a central massive dark object (MDO), probably a black hole, of mass (1.8 +- 0.8) x 10**8 M_Sun. Several arguments suggest that NGC 3377 is likely to be nearly isotropic. However, flattened, anisotropic maximum entropy models can fit the data without an MDO. Therefore the MDO detection in NGC 3377 is weaker than those in M31, M32, or NGC 3115. The above MDO mass is corrected for the E5 shape of the galaxy and for the difference between velocity moments and velocities given by Gaussian fits to the line profiles. We show that the latter correction does not affect the strength of the MDO detection, but it slightly reduces the mass and mass-to-light ratio. At 3" <= r <= 35", M/L_V is constant at ~ 2.4. Therefore the inner parts of NGC 3377 are dominated by a normal old stellar population, not by halo dark matter.

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arXiv1998

Dynamical Mass Determination for Elliptical Galaxies

The mass and anisotropy of an elliptical galaxy can be simultaneously determined from velocity dispersion and line profile shape measurements. We describe the principles, techniques, and limitations of this approach, and the results obtained sofar. We briefly discuss how best to combine these stellar-dynamical results with X-ray measurements and gravitational lensing analyses.

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arXiv1997

The kinematically peculiar cores of the Coma cluster early -- type galaxies NGC 4816 and IC 4051

The Coma cluster is one of the richest known cluster of galaxies, spanning about 4 dex in density. Hence it is the ideal place to study the structure of galaxies as a function of environmental density in order to constrain the theories of galaxy formation and evolution. For a magnitude limited sample of 35 E and S0 galaxies we obtained long slit spectra to derive the rotation curves, the velocity dispersion profiles and the radial gradients of the Mg, Fe and H_beta line indices. Here we report on two early -- type galaxies which turned out to host the largest kinematically peculiar cores yet found in ``normal'' early -- type galaxies: NGC 4816 hosts a decoupled counter rotating core with a radial extension along the major axis of 2.7 kpc, while IC 4051 has a co-rotating peculiar core with a sizes of 3.4 kpc. We combine our data with HST photometry and show that both cores are flattened central stellar disks which contribute less than 1 % to the total V band light of the galaxies, but are nevertheless conspicuous (1 - 2 x 10**9 L_sun). The metallicity of the cores is 0.25 dex super solar and drops to solar and sub solar in the outer part of NGC 4816 and IC 4051, respectively. The mean stellar population in both central disks is old (8 - 12 Gyr) and highly overabundant in Mgb relative to (approximatly 0.5 dex). We discuss the evidence that these central disks formed via dissipational major merger events.

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arXiv1997

M32-like galaxies: still very rare -- M32 analogues do not exist in the Leo group

New observations of galaxies in the direction of the Leo group, which were classified as being candidates for M32-like dwarf galaxies by Ferguson & Sandage (1990), show that these galaxies are normal elliptical galaxies at redshifts between z=0.02 and z=0.06. This result adds further evidence that the faint end of the luminosity function of elliptical galaxies falls off very steep and that objects like M32 are extremely rare.

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