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Edward W. Kolb

Publications and source records attributed to Edward W. Kolb.

At least 55 records · Page 3Linked to original sources
arXiv2007

Light-cone averages in a swiss-cheese universe

We analyze a toy swiss-cheese cosmological model to study the averaging problem. In our model, the cheese is the EdS model and the holes are constructed from a LTB solution. We study the propagation of photons in the swiss-cheese model, and find a phenomenological homogeneous model to describe observables. Following a fitting procedure based on light-cone averages, we find that the the expansion scalar is unaffected by the inhomogeneities. This is because of spherical symmetry. However, the light-cone average of the density as a function of redshift is affected by inhomogeneities. The effect arises because, as the universe evolves, a photon spends more and more time in the (large) voids than in the (thin) high-density structures. The phenomenological homogeneous model describing the light-cone average of the density is similar to the concordance model. Although the sole source in the swiss-cheese model is matter, the phenomenological homogeneous model behaves as if it has a dark-energy component. Finally, we study how the equation of state of the phenomenological model depends on the size of the inhomogeneities, and find that the equation-of-state parameters w_0 and w_a follow a power-law dependence with a scaling exponent equal to unity. That is, the equation of state depends linearly on the distance the photon travels through voids. We conclude that within our toy model, the holes must have a present size of about 250 Mpc to be able to mimic the concordance model.

astro-ph↗
arXiv2007

On cosmological observables in a swiss-cheese universe

Photon geodesics are calculated in a swiss-cheese model, where the cheese is made of the usual Friedmann-Robertson-Walker solution and the holes are constructed from a Lemaitre-Tolman-Bondi solution of Einstein's equations. The observables on which we focus are the changes in the redshift, in the angular-diameter--distance relation, in the luminosity-distance--redshift relation, and in the corresponding distance modulus. We find that redshift effects are suppressed when the hole is small because of a compensation effect acting on the scale of half a hole resulting from the special case of spherical symmetry. However, we find interesting effects in the calculation of the angular distance: strong evolution of the inhomogeneities (as in the approach to caustic formation) causes the photon path to deviate from that of the FRW case. Therefore, the inhomogeneities are able to partly mimic the effects of a dark-energy component. Our results also suggest that the nonlinear effects of caustic formation in cold dark matter models may lead to interesting effects on photon trajectories.

astro-ph↗
arXiv2007

Cosmology and the Unexpected

In these two lectures I will discuss some outstanding problems in the standard model of cosmology, concentrating on the physics that might be related to the title of this school, ``Searching for the totally unexpected in the LHC era.'' In particular, I will concentrate on dark energy, dark matter, and inflation.

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arXiv2006

Instant nonthermal leptogenesis

We propose an economical model of nonthermal leptogenesis following inflation during ``instant'' preheating. The model involves only the inflaton field, the standard model Higgs, and the heavy ``right-handed'' neutrino.

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arXiv2006

Report of the Dark Energy Task Force

Dark energy appears to be the dominant component of the physical Universe, yet there is no persuasive theoretical explanation for its existence or magnitude. The acceleration of the Universe is, along with dark matter, the observed phenomenon that most directly demonstrates that our theories of fundamental particles and gravity are either incorrect or incomplete. Most experts believe that nothing short of a revolution in our understanding of fundamental physics will be required to achieve a full understanding of the cosmic acceleration. For these reasons, the nature of dark energy ranks among the very most compelling of all outstanding problems in physical science. These circumstances demand an ambitious observational program to determine the dark energy properties as well as possible.

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arXiv2006

Inflation model constraints from the Wilkinson Microwave Anisotropy Probe three-year data

We extract parameters relevant for distinguishing among single-field inflation models from the Wilkinson Microwave Anisotropy Probe (WMAP) three-year data set, and also from WMAP in combination with the Sloan Digital Sky Survey (SDSS) galaxy power spectrum. Our analysis leads to the following conclusions: 1) the Harrison--Zel'dovich model is consistent with both data sets at a 95% confidence level; 2) there is no strong evidence for running of the spectral index of scalar perturbations; 3) Potentials of the form V \propto ϕ^p are consistent with the data for p = 2, and are marginally consistent with the WMAP data considered alone for p = 4, but ruled out by WMAP combined with SDSS. We perform a "Monte Carlo reconstruction" of the inflationary potential, and find that: 1) there is no evidence to support an observational lower bound on the amplitude of gravitational waves produced during inflation; 2) models such as simple hybrid potentials which evolve toward an inflationary late-time attractor in the space of flow parameters are strongly disfavored by the data, 3) models selected with even a weak slow-roll prior strongly cluster in the region favoring a "red" power spectrum and no running of the spectral index, consistent with simple single-field inflation models.

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arXiv2006

Pierre Auger Data, Photons, and Top-Down Cosmic Ray Models

We consider the ultra-high energy cosmic ray (UHECR) spectrum as measured by the Pierre Auger Observatory. Top-down models for the origin of UHECRs predict an increasing photon component at energies above about $10^{19.7}$eV. Here we present a simple prescription to compare the Auger data with a prediction assuming a pure proton component or a prediction assuming a changing primary component appropriate for a top-down model. We find that the UHECR spectrum predicted in top-down models is a good fit to the Auger data. Eventually, Auger will measure a composition-independent spectrum and will be capable of either confirming or excluding the quantity of photons predicted in top-down models.

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arXiv2005

Non-Gaussianity from Broken Symmetries

Recently we studied inflation models in which the inflaton potential is characterized by an underlying approximate global symmetry. In the first work we pointed out that in such a model curvature perturbations are generated after the end of the slow-roll phase of inflation. In this work we develop further the observational implications of the model and compute the degree of non-Gaussianity predicted in the scenario. We find that the corresponding nonlinearity parameter, $f_{NL}$, can be as large as 10^2.

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arXiv2005

Cosmological influence of super-Hubble perturbations

The existence of cosmological perturbations of wavelength larger than the Hubble radius is a generic prediction of the inflationary paradigm. We provide the derivation beyond perturbation theory of a conserved quantity which generalizes the linear comoving curvature perturbation. As a by-product, we show that super-Hubble-radius (super-Hubble) perturbations have no physical influence on local observables e.g., the local expansion rate) if cosmological perturbations are of the adiabatic type.

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arXiv2005

Post-inflation increase of the cosmological tensor-to-scalar perturbation ratio

We investigate the possibility that the amplitude of scalar density perturbations may be damped after inflation. This would imply that CMB anisotropies do not uniquely fix the amplitude of the perturbations generated during inflation and that the present tensor-to-scalar ratio might be larger than produced in inflation, increasing the prospects of detection of primordial gravitational radiation. It turns out, however, that the damping of density perturbations is hard to achieve.

astro-ph↗
arXiv2005

Effect of inhomogeneities on the expansion rate of the Universe

While the expansion rate of a homogeneous isotropic Universe is simply proportional to the square-root of the energy density, the expansion rate of an inhomogeneous Universe also depends on the nature of the density inhomogeneities. In this paper we calculate to second order in perturbation variables the expansion rate of an inhomogeneous Universe and demonstrate corrections to the evolution of the expansion rate. While we find that the mean correction is small, the variance of the correction on the scale of the Hubble radius is sensitive to the physical significance of the unknown spectrum of density perturbations beyond the Hubble radius.

hep-ph↗
arXiv2004

Isocurvature constraints on gravitationally produced superheavy dark matter

We show that the isocurvature perturbations imply that the gravitationally produced superheavy dark matter must have masses larger than few times the Hubble expansion rate at the end of inflation. This together with the bound on tensor to scalar contribution to the CMB induces a lower bound on the reheating temperature for superheavy dark matter to be about 10^7 GeV. Hence, if the superheavy dark matter scenario is embedded in supergravity models with gravity mediated SUSY breaking, the gravitino bound will squeeze this scenario. Furthermore, the CMB constraint strengthens the statement that gravitationally produced superheavy dark matter scenario prefers a relatively large tensor mode amplitude if the reheating temperature must be less than 10^9 GeV.

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arXiv2004

Curvature Perturbations from Broken Symmetries

We present a new general mechanism to generate curvature perturbations after the end of the slow-roll phase of inflation. Our model is based on the simple assumption that the potential driving inflation is characterized by an underlying global symmetry which is slightly broken.

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arXiv2004

Inflationary potentials yielding constant scalar perturbation spectral indices

We explore the types of slow-roll inflationary potentials that result in scalar perturbations with a constant spectral index, i.e., perturbations that may be described by a single power-law spectrum over all observable scales. We devote particular attention to the type of potentials that result in the Harrison--Zel'dovich spectrum.

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arXiv2004

Lorentz invariance violation in top-down scenarios of ultrahigh energy cosmic ray creation

The violation of Lorentz invariance (LI) has been invoked in a number of ways to explain issues dealing with ultrahigh energy cosmic ray (UHECR) production and propagation. These treatments, however, have mostly been limited to examples in the proton-neutron system and photon-electron system. In this paper we show how a broader violation of Lorentz invariance would allow for a series of previously forbidden decays to occur, and how that could lead to UHECR primaries being heavy baryonic states or Higgs bosons.

hep-ph↗
arXiv2003

The Radionactive Universe

In a large class of extra-dimensional models, a scalar degree of freedom known as the radion is long-lived, or even stable, on cosmological scales. In this paper we investigate the impact of radionactivity on the evolution of the universe. We demonstrate that whether the radion overcloses the universe, constitutes the dark matter, is the inflaton, the curvaton, or does not play any role in cosmology, depends crucially on the ratio between the energy densities stored in the radion and in the inflaton at the time of inflation. We discuss the general difficulties reconciling models with low compactification scale (i.e., TeV scale) with the simple picture of inflation.

hep-ph↗
arXiv2003

WMAPping inflationary physics

We extract parameters relevant for distinguishing among single-field inflation models from the Wilkinson Microwave Anisotropy Probe (WMAP) data set, and from a combination of the WMAP data and seven other Cosmic Microwave Background (CMB) experiments. We use only CMB data and perform a likelihood analysis over a grid of models including the full error covariance matrix. We find that a model with a scale-invariant scalar power spectrum ($n=1$), no tensor contribution, and no running of the spectral index, is within the 1-$σ$ contours of both data sets. We then apply the Monte Carlo reconstruction technique to both data sets to generate an ensemble of inflationary potentials consistent with observations. None of the three basic classes of inflation models (small-field, large-field, and hybrid) are completely ruled out, although hybrid models are favored by the best-fit region. The reconstruction process indicates that a wide variety of smooth potentials for the inflaton are consistent with the data, implying that the first-year WMAP result is still too crude to constrain significantly either the height or the shape of the inflaton potential. In particular, the lack of evidence for tensor fluctuations makes it impossible to constrain the energy scale of inflation. Nonetheless, the data rule out a large portion of the available parameter space for inflation. For instance, we find that potentials of the form $V = λϕ^4$ are ruled out to $3σ$ by the combined data set, but not by the WMAP data taken alone.

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