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Abraham Loeb

Publications and source records attributed to Abraham Loeb.

At least 685 records · Page 38Linked to original sources

Future Evolution of the Intergalactic Medium in a Universe Dominated by a Cosmological Constant

We simulate the evolution of the intergalactic medium (IGM) in a universe dominated by a cosmological constant. We find that within a few Hubble times from the present epoch, the baryons will have two primary phases: one phase composed of low-density, low-temperature, diffuse, ionized gas which cools exponentially with cosmic time due to adiabatic expansion, and a second phase of high-density, high-temperature gas in virialized dark matter halos which cools much more slowly by atomic processes. The mass fraction of gas in halos converges to ~40% at late times, about twice its calculated value at the present epoch. We find that in a few Hubble times, the large scale filaments in the present-day IGM will rarefy and fade away into the low-temperature IGM, and only islands of virialized gas will maintain their physical structure. We do not find evidence for fragmentation of the diffuse IGM at later times. More than 99% of the gas mass will maintain a steady ionization fraction above 80% within a few Hubble times. The diffuse IGM will get extremely cold and dilute but remain highly ionized, as its recombination time will dramatically exceed the age of the universe.

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Was the Universe Reionized at Redshift 10?

Recently, Pello et al. (2004) claimed to have discovered a galaxy at a redshift z=10, and identified a feature in its spectrum with a hydrogen Lyman-alpha emission line. If this identification is correct, we show that the intergalactic medium (IGM) around the galaxy must be significantly ionized; otherwise, the damping wing of Lyman-alpha absorption by the neutral IGM would have greatly suppressed the emission line. We find either that the large-scale region surrounding this galaxy must have been largely reionized by z=10 (with a neutral fraction <0.4) or that the stars within the galaxy must be massive (>100 solar masses), and hence capable of producing a sufficiently large HII region around it. We generalize these conclusions and derive the maximum Lyman-alpha line flux for a given UV continuum flux of galaxies prior to the epoch of reionization.

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A Limit from the X-ray Background on the Contribution of Quasars to Reionization

A population of black holes (BHs) at high redshifts (z>6) that contributes significantly to the ionization of the intergalactic medium (IGM) would be accompanied by the copious production of hard (>10keV) X-ray photons. The resulting hard X-ray background would redshift and be observed as a present-day soft X-ray background (SXB). Under the hypothesis that BHs are the main producers of reionizing photons in the high-redshift universe, we calculate their contribution to the present-day SXB. Our results, when compared to the unresolved component of the SXB in the range 0.5-2 keV, suggest that accreting BHs (be it luminous quasars or their lower-mass ``miniquasar'' counterparts) did not dominate reionization. Distant miniquasars that produce enough X-rays to only partially ionize the IGM to a level of at most 50% are still allowed, but could be severely constrained by improved determinations of the unresolved component of the SXB.

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The Link between Warm Molecular Disks in Maser Nuclei and Star Formation near the Black Hole at the Galactic Center

The discovery of hundreds of young, bright stars within a parsec from the massive black hole at the center of the Galaxy presents a challenge to star formation theories. The requisite Roche densities for the gravitational collapse of gas clouds are most naturally achieved in accretion disks. The water maser sources in Keplerian rotation in the nuclei of NGC4258, NGC1068, and the Circinus galaxy indicate the presence of warm, extended, molecular accretion disks around black holes similar in mass to the one at the Galactic center. Here we argue that the current conditions in the maser nuclei, and those near the Galactic center, represent two consecutive, recurrent phases in the life cycle of the nucleus of a typical gas-rich spiral bulge. The warm molecular disks that give rise to the observed maser emission fragment into stellar-size objects. The stellar masses, their orbital geometry, and the total number of stars thus formed are consistent with the values identified at the Galactic center. The stars tend to form in compact groups resembling the IRS 13 complex that dominates the stellar light in the neighborhood of the black hole.

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Element segregation in giant galaxies and X-ray clusters

We examine the process of element segregation by gravity in giant elliptical galaxies and X-ray clusters. We solve the full set of flow equations developed by Burgers for a multi-component fluid, under the assumption that magnetic fields slow the diffusion by a constant factor F_B. Compared to the previous calculations that neglected the residual heat flow terms, we find that diffusion is faster by ~20%. In clusters we find that the diffusion changes the local abundance typically by factors of 1+0.3(T/10^8 K)^1.5/F_B and 1+0.15(T/10^8 K)^1.5/F_B for helium and heavy elements, respectively, where T is the gas temperature. In elliptical galaxies, the corresponding factors are 1+0.2(T/10^7 K)^1.5/F_B and 1+0.1(T/10^7 K)^1.5/F_B, respectively. If the suppression factor F_B is modest, diffusion could significantly affect observational properties of hot X-ray clusters and cD galaxies. In particular, diffusion steepens the baryon distribution, increases the total X-ray luminosity, and changes the spectrum and evolution of stars that form out of the helium-rich gas. Detection of these diffusion signatures would allow to gauge the significance of the magnetic fields, which also inhibit thermal heat conduction as a mechanism for eliminating cooling flows in the same environments.

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Direct Feeding of the Black Hole at the Galactic Center with Radial Gas Streams from Close-In Stellar Winds

We show that the recently-discovered orbits of massive stars with closest approach of ~10^3 Schwarzschild radii from SgrA*, allow winds from these stars to provide the required mass deposition rate near the black hole horizon. The observed luminosity of SgrA* does not require viscous transport of angular momentum, as long as the total wind mass loss rate reaches ~10^{-6} solar masses per year from the close-in stars. The specific orbits of the nearest stars should cause modulation of the radio and infrared flux from SgrA* on a timescale of years in a predictable fashion.

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Redshifted 21cm Signatures Around the Highest Redshift Quasars

The Ly-alpha absorption spectrum of the highest redshift quasars indicates that they are surrounded by giant HII regions, a few Mpc in size. The neutral gas around these HII regions should emit 21cm radiation in excess of the Cosmic Microwave Background, and enable future radio telescopes to measure the transverse extent of these HII regions. At early times, the HII regions expand with a relativistic speed. Consequently, their measured sizes along the line-of-sight (via Ly-alpha absorption) and transverse to it (via 21 cm emission) should have different observed values due to relativistic time-delay. We show that the combined measurement of these sizes would directly constrain the neutral fraction of the surrounding intergalactic medium (IGM) as well as the quasar lifetime. Based on current number counts of luminous quasars at z>6, an instrument like LOFAR should detect >2 redshifted 21cm shells per field (with a radius of 11 degrees) around active quasars as bright as those already discovered by SDSS, and >200 relic shells of inactive quasars per field. We show that Ly-alpha photons from the quasar are unable to heat the IGM or to couple the spin and kinetic temperatures of atomic hydrogen beyond the edge of the HII region. The detection of the IGM in 21cm emission around high redshift quasars would therefore gauge the presence of a cosmic Ly-alpha background during the reionization epoch.

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Accretion onto a Primordial Protostar

We present a three-dimensional numerical simulation that resolves the formation process of a Population III star down to a scale of ~100 AU. The simulation is initialized on the scale of a dark matter halo of mass ~10^6 M_sun that virializes at z~20. It then follows the formation of a fully-molecular central core, and traces the accretion from the diffuse dust-free cloud onto the protostellar core for as long as ~10^4 yr, at which time the core has grown to ~50 M_sun. We find that the accretion rate starts very high, ~0.1 M_sun yr^-1, and declines rapidly thereafter approaching a power-law temporal scaling. Asymptotically, at times t > 10^3 yr after core formation, the stellar mass grows approximately as M_star=20 M_sun (t/10^3 yr)^0.4. Earlier on, accretion is faster with M_star \propto t^0.75. By extrapolating this growth over the full lifetime of very massive stars, t~3x10^6 yr, we obtain the conservative upper limit M_star < 500 M_sun. The actual stellar mass is, however, likely to be significantly smaller than this mass limit due to radiative and mechanical feedback from the protostar.

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Cosmic Hydrogen Was Significantly Neutral a Billion Years After the Big Bang

The ionization fraction of cosmic hydrogen, left over from the big bang, provides crucial fossil evidence for when the first stars and quasar black holes formed in the infant universe. Spectra of the two most distant quasars known show nearly complete absorption of photons with wavelengths shorter than the Ly-alpha transition of neutral hydrogen, indicating that hydrogen in the intergalactic medium (IGM) had not been completely ionized at a redshift z~6.3, about a billion years after the big bang. Here we show that the radii of influence of ionizing radiation from these quasars imply that the surrounding IGM had a neutral hydrogen fraction of tens of percent prior to the quasar activity, much higher than previous lower limits of ~0.1%. When combined with the recent inference of a large cumulative optical depth to electron scattering after cosmological recombination from the WMAP data, our result suggests the existence of a second peak in the mean ionization history, potentially due to an early formation episode of the first stars.

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Large-Scale Structure Shocks at Low and High Redshifts

Cosmological simulations show that, at the present time, a substantial fraction of the gas in the intergalactic medium (IGM) has been shock-heated to T>10^5 K. Here we develop an analytic model to describe the fraction of shocked, moderately overdense gas in the IGM. The model is an extension of the Press & Schechter (1974) description for the mass function of halos: we assume that large-scale structure shocks occur at a fixed overdensity during nonlinear collapse. This in turn allows us to compute the fraction of gas at a given redshift that has been shock-heated to a specified temperature. We show that, if strong shocks occur at turnaround, our model provides a reasonable description of the temperature distribution seen in cosmological simulations at z~0, although it does overestimate the importance of weak shocks. We then apply our model to shocks at high redshifts. We show that, before reionization, the thermal energy of the IGM is dominated by large-scale structure shocks (rather than virialized objects). These shocks can have a variety of effects, including stripping ~10% of the gas from dark matter minihalos, accelerating cosmic rays, and creating a diffuse radiation background from inverse Compton and cooling radiation. This radiation background develops before the first stars form and could have measurable effects on molecular hydrogen formation and the spin temperature of the 21 cm transition of neutral hydrogen. Finally, we show that shock-heating will also be directly detectable by redshifted 21 cm measurements of the neutral IGM in the young universe.

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Detection of Gravitational Waves from the Coalescence of Population-III Remnants with Advanced LIGO

The comoving mass density of massive black hole (MBH) remnants from pre-galactic star formation could have been similar in magnitude to the mass-density of supermassive black holes (SMBHs) in the present-day universe. We show that the fraction of MBHs that coalesce during the assembly of SMBHs can be extracted from the rate of ring-down gravitational waves that are detectable by Advanced LIGO. Based on the SMBH formation history inferred from the evolution of the quasar luminosity function, we show that an observed event rate of 1 per year will constrain the SMBH mass fraction that was contributed by MBHs coalescence down to a level of ~10^-6 for 20 solar mass MBH remnants (or ~10^-4 for 260 solar mass remnants).

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Gamma-Ray Bursts versus Quasars: Lyman-alpha Signatures of Reionization versus Cosmological Infall

Lyman-alpha absorption is a prominent cosmological tool for probing both galactic halos and the intergalactic medium at high redshift. We consider a variety of sources that can be used as the Lyman-alpha emitters for this purpose. Among these sources, we argue that quasars are the best probes of the evolution of massive halos, while gamma-ray bursts represent the cleanest sources for studying the reionization of the intergalactic medium.

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The Formation of the First Low-Mass Stars From Gas With Low Carbon and Oxygen Abundances

The first stars in the Universe are predicted to have been much more massive than the Sun. Gravitational condensation accompanied by cooling of the primordial gas due to molecular hydrogen, yields a minimum fragmentation scale of a few hundred solar masses. Numerical simulations indicate that once a gas clump acquires this mass, it undergoes a slow, quasi-hydrostatic contraction without further fragmentation. Here we show that as soon as the primordial gas - left over from the Big Bang - is enriched by supernovae to a carbon or oxygen abundance as small as ~0.01-0.1% of that found in the Sun, cooling by singly-ionized carbon or neutral oxygen can lead to the formation of low-mass stars. This mechanism naturally accommodates the discovery of solar mass stars with unusually low (10^{-5.3} of the solar value) iron abundance but with a high (10^{-1.3} solar) carbon abundance. The minimum stellar mass at early epochs is partially regulated by the temperature of the cosmic microwave background. The derived critical abundances can be used to identify those metal-poor stars in our Milky Way galaxy with elemental patterns imprinted by the first supernovae.

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Apparent Deviations from Keplerian Acceleration for Stars Around the Supermassive Black Hole at the Galactic Center

We show that the time-dependent Doppler effect should induce measureable deviations of the time history of the projected orbit of a star around the supermassive black hole in the Galactic center (SgrA*) from the expected Keplerian history. In particular, the line-of-sight acceleration of the star generates apparent acceleration of its image along its velocity vector on the sky, even if its actual Keplerian acceleration in this direction vanishes. The excess apparent acceleration simply results from the transformation of time between the reference frames of the observer and the star. Although the excess acceleration averages to zero over a full closed orbit, it could lead to systematic offsets of a few percent in estimates of the dynamical mass or position of the black hole that rely on partially sampled orbits with pericentric distances of ~100AU. Deviations of this magnitude from apparent Keplerian dynamics of known stars should be detectable by future observations.

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Radio Imaging of GRB Jets in Nearby Supernovae

We calculate the time evolution of the flux, apparent size, and image centroid motion of gamma-ray burst (GRB) radio jets, and show that they can be resolved by the VLBA at distances of hundreds of Mpc. We find that GRB 030329 which showed spectroscopic evidence for an associated Type Ic supernova (SN) at a distance of $\approx$ 800 Mpc might just be resolvable by VLBA after several months. The prospects are much better for jets that are oriented sideways in similar SNe with no GRB counterpart; in particular, the motion of the flux centroid in such jets can be detected by VLBA up to $z\sim 1$ even when the jet cannot be resolved. If most GRBs are accompanied by a Type Ib/c SN, then there should be a few SN/GRB jets per year within a distance $\lesssim$ 200 Mpc, and most of them would be oriented sideways with no gamma-ray or X-ray precursor. Detection of these jets can be used to calibrate the fraction of all core collapse SNe that produce relativistic outflows and determine the local GRB rate. Overall, the rate of Type Ib/c SNe that do not produce a GRB at all, but rather make relativistic radio jets with an initial Lorentz factor of a few, may be larger by up to 2 orders of magnitude than the rate of those that produce GRBs.

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Observing the First Stars, One Star at a Time

Gamma-Ray Bursts (GRBs) are believed to originate in compact remnants (black holes or neutron stars) of massive stars. Their high luminosities make them detectable out to the edge of the visible universe. We describe the many advantages of GRB afterglows relative to quasars as probes of the intergalactic medium during the epoch of reionization. The Swift satellite, planned for launch by the end of 2003, will likely open a new era in observations of the high redshift universe.

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Formation of the First Supermassive Black Holes

We consider the physical conditions under which supermassive black holes could have formed inside the first galaxies. Our SPH simulations indicate that metal-free galaxies with a virial temperature ~10^4 K and with suppressed H2 formation (due to an intergalactic UV background) tend to form a binary black hole system which contains a substantial fraction (>10%) of the total baryonic mass of the host galaxy. Fragmentation into stars is suppressed without substantial H2 cooling. Our simulations follow the condensation of ~5x10^6 M_sun around the two centers of the binary down to a scale of < 0.1pc. Low-spin galaxies form a single black hole instead. These early black holes lead to quasar activity before the epoch of reionization. Primordial black hole binaries lead to the emission of gravitational radiation at redshifts z>10 that would be detectable by LISA.

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A Method for Mapping the Temperature Profile of X-ray Clusters Through Radio Observations

Many of the most luminous extragalactic radio sources are located at the centers of X-ray clusters, and so their radiation must be scattered by the surrounding hot gas. We show that radio observations of the highly-polarized scattered radiation (which depends on the electron density distribution) in combination with the thermal Sunyaev-Zeldovich effect (which measures the electron pressure distribution), can be used to determine the radial profile of the electron temperature within the host cluster. The sensitivity levels expected from current instruments will allow radio measurements of mass-weighted cluster temperature profiles to better than roughly 1 keV accuracy, as long as the central radio source is steady over several million years. Variable or beamed sources will leave observable signatures in the scattered emission. For clusters with a central point source brighter than about 1 mJy, the scattered polarization signal is stronger than competing effects due to the cosmic microwave background.

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