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P. J. E. Peebles

Publications and source records attributed to P. J. E. Peebles.

At least 73 records · Page 4Linked to original sources

Fluid Dark Matter

Dark matter modeled as a classical scalar field that interacts only with gravity and with itself by a potential that is close to quartic at large field values and approaches a quadratic form when the field is small would be gravitationally produced by inflation and at the present epoch could act like an ideal fluid with pressure that is a function only of the mass density. This could have observationally interesting effects on the core radii and solid body rotation of dark matter halos and on the low mass end of the primeval mass fluctuation power spectrum.

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Dynamics of a Dark Matter Field with a Quartic Self-Interaction Potential

It may prove useful in cosmology to understand the behavior of the energy distribution in a scalar field that interacts only with gravity and with itself by a pure quartic potential, because if such a field existed it would be gravitationally produced, as a squeezed state, during inflation. It is known that the mean energy density in such a field after inflation varies with the expansion of the universe in the same way as radiation. I show that if the field initially is close to homogeneous, with small energy density contrast delta rho /rho and coherence length L, the energy density fluctuations behave like acoustic oscillations in an ideal relativistic fluid for a time on the order of L/|delta rho /rho|. This ends with the appearance of features that resemble shock waves, but interact in a close to elastic way that reversibly disturbs the energy distribution.

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Summary: Comments on the State of our Subject

This conference shows the impressive rate of advances in the observations and theoretical interpretations of large-scale structure. But to explain my feeling that we may still have a lot to learn I offer some comments on our sociology, informed by social construction, in adopting lines of thought that tend not to follow straightforward readings of what is observed. Thus galaxies are thought to be affected by environment, not only in the morphology-density relation, but also as the cause of biased formation. But the Tully-Fisher and fundamental plane relations do not allow much room for the contingencies of environment. It is thought that the galaxy distribution is not likely to be closely related to the mass, yet most dynamical analyses indicate that if the mean density is low then optically selected galaxies are good mass tracers. The evidence is that at redshift unity the larger spiral and elliptical galaxies were by and large in place, as were a good fraction of the great clusters of galaxies. These galaxies evolve slowly at $z<1$, yet we hears of rapid evolution not much before this, in galaxy formation. Perhaps all these examples are misleading. But, as Kuhn has taught us, complex interpretations of simple phenomena have been known to be precursors of paradigm shifts.

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A Model for Structure Formation Seeded by Gravitationally Produced Matter

This model assumes the baryons, radiation, three families of massless neutrinos, and cold dark matter were mutually thermalized before the baryon number was fixed, primeval curvature fluctuations were subdominant, and homogeneity was broken by scale-invariant fluctuations in a new dark matter component that behaves like a relativistic ideal fluid. The fluid behavior could follow if this new component were a single scalar field that interacts only with gravity and with itself by a pure quartic potential. The initial energy distribution could follow if this component were gravitationally produced by inflation. The power spectra of the present distributions of mass and radiation in this model are not inconsistent with the measurements but are sufficiently different from the adiabatic cold dark matter model to allow a sharp test in the near future.

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A Galaxy X-ray Fundamental Plane?

We suggest the radii and luminosities of the X-ray emitting halos of elliptical galaxies define a fundamental plane with the star velocity dispersions, as for the corresponding optical observables. Since the X-ray emitting material usually is at larger radius than the stars this can be interpreted as additional evidence for a relation between the space distributions of stellar and dark mass, in analogy to the Tully-Fisher relation and flat rotation curves for spiral galaxies. The picture is complicated, however, by ellipticals with relatively low X-ray luminosities that appear to have modest dark halos, quite unlike the standard picture for spirals.

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Summary; Inflation and Traditions of Research

One way to judge the impact of the inflation concept is to consider where cosmology might be today without it. The Einstein-de Sitter model would not have been so keenly defended, and there might have been more interest in negative space curvature, but the observations would have driven us to about where we are. We would have had much the same ideas about structure formation, but they would have been considered incomplete because the initial conditions would have to be invoked ad hoc. And there would not have been the exciting sense in the community that we might be approaching the end game. Whether or not it is true it certainly has been an important factor in the present high level of activity in cosmology.

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Noninteracting dark matter

Since an acceptable dark matter candidate may interact only weakly with ordinary matter and radiation, it is of interest to consider the limiting case where the dark matter interacts only with gravity and itself, the matter originating by the gravitational particle production at the end of inflation. We use the bounds on the present dark mass density and the measured large-scale fluctuations in the thermal cosmic background radiation to constrain the two parameters in a self-interaction potential that is a sum of quadratic and quartic terms in a single scalar dark matter field that is minimally coupled to gravity. In quintessential inflation, where the temperature at the end of inflation is relatively low, the field starts acting like cold dark matter relatively late, shortly before the epoch of equal mass densities in matter and radiation. This could have observable consequences for galaxy formation. We respond to recent criticisms of the quintessential inflation scenario, since these issues also apply to elements of the noninteracting dark matter picture.

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Is Cosmology Solved?

We have fossil evidence from the thermal background radiation that our universe expanded from a considerably hotter denser state. We have a well defined and testable description of the expansion, the relativistic Friedmann-Lemaitre model. Its observational successes are impressive but I think hardly enough for a convincing scientific case. The lists of observational constraints and free hypotheses within the model have similar lengths. The scorecard on the search for concordant measures of the mass density parameter and the cosmological constant shows that the high density Einstein-de Sitter model is challenged, but that we cannot choose between low density models with and without a cosmological constant. That is, the relativistic model is not strongly overconstrained, the usual test of a mature theory. Work in progress will greatly improve the situation and may at last yield a compelling test. If so, and the relativistic model survives, it will close one line of research in cosmology: we will know the outlines of what happened as our universe expanded and cooled from high density. It will not end research: some of us will occupy ourselves with the details of how galaxies and other large-scale structures came to be the way they are, others with the issue of what our universe was doing before it was expanding. The former is being driven by rapid observational advances. The latter is being driven mainly by theory, but there are hints of observational guidance.

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Quintessential inflation

We present an explicit observationally acceptable model for evolution from inflation to the present epoch under the assumption that the entropy and matter of the familiar universe are from gravitational particle production at the end of inflation. This eliminates the problem of finding a satisfactory coupling of the inflaton and matter fields. Since the inflaton potential $V(ϕ)$ may be a monotonic function of the inflaton $ϕ$, the inflaton energy could produce an observationally significant effective cosmological constant, as in quintessence.

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The time-evolution of bias

We study the evolution of the bias factor b and the mass-galaxy correlation coefficient r in a simple analytic model for galaxy formation and the gravitational growth of clustering. The model shows that b and r can be strongly time-dependent, but tend to approach unity even if galaxy formation never ends as the gravitational growth of clustering debiases the older galaxies. The presence of random fluctuations in the sites of galaxy formation relative to the mass distribution can cause large and rapidly falling bias values at high redshift.

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The Standard Cosmological Model

We have a well-established standard model for cosmology and prospects for considerable additions from work in progress. I offer a list of elements of the standard model, comments on controversies in the interpretation of the evidence in support of this model, and assessments of the directions extensions of the standard model seem to be taking.

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An Isocurvature CDM Cosmogony. II. Observational Tests

A companion paper presents a worked model for evolution through inflation to initial conditions for an isocurvature model for structure formation. It is shown here that the model is consistent with the available observational constraints that can be applied without the help of numerical simulations. The model gives an acceptable fit to the second moments of the angular fluctuations in the thermal background radiation and the second through fourth moments of the measured large-scale fluctuations in galaxy counts, within the possibly significant uncertainties in these measurements. The cluster mass function requires a rather low but observationally acceptable mass density, $0.1\lsimΩ\lsim 0.2$ in a cosmologically flat universe. Galaxies would be assembled earlier in this model than in the adiabatic version, an arguably good thing. Aspects of the predicted non-Gaussian character of the anisotropy of the thermal background radiation in this model are discussed.

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An Isocurvature CDM Cosmogony. I. A Worked Example of Evolution Through Inflation

I present a specific worked example of evolution through inflation to the initial conditions for an isocurvature CDM model for structure formation. The model invokes three scalar fields, one that drives power law inflation, one that survives to become the present-day CDM, and one that gives the CDM field a mass that slowly decreases during inflation and so ``tilts'' the primeval mass fluctuation spectrum of the CDM. The functional forms for the potentials and the parameter values that lead to an observationally acceptable model for structure formation do not seem to be out of line with current ideas about the physics of the very early universe. I argue in an accompanying paper that the model offers an acceptable fit to main observational constraints.

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Issues for the Next Generation of Galaxy Surveys

I argue that the weight of the available evidence favours the conclusions that galaxies are unbiased tracers of mass, the mean mass density (excluding a cosmological constant or its equivalent) is less than the critical Einstein-de Sitter value, and an isocurvature model for structure formation offers a viable and arguably attractive model for the early assembly of galaxies. If valid these conclusions complicate our work of adding structure formation to the standard model for cosmology, but it seems sensible to pay attention to evidence.

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Small-scale anisotropy of the cosmic background radiation and scattering by cloudy plasma

If the first stars formed soon after decoupling of baryons from the thermal cosmic background radiation (CBR), the radiation may have been last scattered in a cloudy plasma. We discuss the resulting small-scale anisotropy of the CBR in the limit where the plasma clouds are small compared to the mean distance between clouds along a line of sight. This complements the perturbative analysis valid for mildly nonlinear departures from homogeneity at last scattering. We conclude that reasonable choices for the cloud parameters imply CBR anisotropy consistent with the present experimental limits, in agreement with the perturbative approach. This means the remarkable isotropy of the CBR need not contradict the early small-scale structure formation predicted in some cosmogonies.

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The Cosmic Baryon Budget

We present an estimate of the global budget of baryons in all states, with conservative estimates of the uncertainties, based on all relevant information we have been able to marshal. Most of the baryons today are still in the form of ionized gas, which contributes a mean density uncertain by a factor of about four. Stars and their remnants are a relatively minor component, comprising for our best-guess plasma density only about 17% of the baryons, while populations contributing most of the blue starlight comprise less than 5%. The formation of galaxies and of stars within them appears to be a globally inefficient process. The sum over our budget, expressed as a fraction of the critical Einstein-de Sitter density, is in the range $0.007\lsimΩ_B\lsim 0.041$, with a best guess $Ω_B\sim 0.021$ (at Hubble constant 70 km/s/Mpc). The central value agrees with the prediction from the theory of light element production and with measures of the density of intergalactic plasma at redshift $z\sim 3$. This apparent concordance suggests we may be close to a complete survey of the major states of the baryons.

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A Numerical Renormalization Solution for Self-Similar Cosmic Structure Formation

We present results of a numerical renormalization approximation to the self- similar growth of clustering of pressureless dust out of a power-law spectrum of primeval Gaussian mass density fluctuations (index n) in an Einstein-de Sitter cosmological model. The self-similar two-point correlation function, xi, seems to be well established. The renormalization solutions for xi show a satisfying insensitivity to the parameters in the method, and at n=-1 and 0 are close to the Hamilton et al. formula for interpolation between the large-scale perturbative limit and stable small-scale clustering. The solutions are tested by comparing the mean relative peculiar velocity of particle pairs and the velocity derived from xi under the assumption of self-similar evolution. Both the renormalization and a comparison conventional N-body solution are in reasonable agreement with the test, although the conventional approach does slightly better at large separations and the renormalization approach slightly better at small separations. Other comparisons of renormalization and conventional solutions are more demanding and the results less satisfactory. Maps of particle positions in redshift space in the renormalization solutions show more nearly empty voids and less prominent walls than do the conventional solutions. The rms relative velocity dispersion is systematically smaller in the renormalization solution. There also are sizeable differences in the frequency distributions of clump masses in the renormalization and conventional solutions. The third moment S_3 from the distribution of mass within cells is in reasonable agreement with second-order perturbation theory on large scales, while on scales less than the clustering length S_3 is roughly consistent with hierarchical clustering but is heavily affected by shot noise.

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Action Principle Solutions For Galaxy Motions Within 3000 Km/s

The numerical action variational principle is used to find fully nonlinear solutions for the orbits of the mass tracers given their present redshifts and angular positions and the cosmological boundary condition that the peculiar velocities are small at high redshift. A solution predicts the distances of the mass tracers, and is tested by a comparison with measured distances. The current numerical results use 289 luminosity-linewidth distance measurements designed to be close to unbiased. A catalog of 1138 tracers approximates the luminosity distribution of galaxies in the vicinity of the Local Supercluster, at redshifts cz < 3000 km/s. These mass tracers include groups with crossing times less than the Hubble time and isolated galaxies. The measure of merit of a solution is the sum of the mean square differences between the predicted and observed distance moduli. In the 3000 km/s sample, this reduced $χ^2$ statistic has a well-defined minimum value at M/L=175 and $t_0 = 10.0$ Gyr, and $χ^2$ at the minimum is about 1.29 times the value expected from just the standard deviation of the distance measurements. We have tested for the effect of the mass at greater distance by using the positions of Abell clusters as a model for the large-scale mass distribution. This external mass model reduces the minimum value of $χ^2$ by about 10\% ($\sim 1 σ$). The value of the cosmological density parameter $Ω_0$ is determined by the global mean mass-to-light ratio. Our preliminary analysis yields $Ω_0= 0.17 \pm 0.10$ at one standard deviation. A tighter bound is expected to come out of a larger sample of measured distances now available.

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