Evolution of linear perturbations in Lemaître-Tolman-Bondi void models

Abstract

We study the evolution of linear perturbations in a Lemaître-Tolman-Bondi (LTB) void model with realistic cosmological initial conditions. Linear perturbation theory in LTB models is substantially more complicated than in standard Friedmann universes as the inhomogeneous background causes gauge-invariant perturbations to couple at first order. As shown by Clarkson et al. (2009), the evolution is constrained by a system of linear partial differential equations which need to be integrated numerically. We present a new numerical scheme using finite element methods to solve this equation system and generate scalar initial conditions based on Gaussian random fields with an underlying power spectrum for the Bardeen potential. After spherical harmonic decomposition, the initial fluctuations are propagated in time and estimates of angular power spectra of each gauge invariant variable are computed as functions of redshift. This allows to analyse the coupling strength in a statistical way. We find significant couplings up to $25\%$ for large and deep voids of Gpc scale as required to fit the distance redshift relations of SNe.

arXiv comment39 pages, typos corrected, accepted for publication in JCAP

References in corpus (54)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• The 6dF Galaxy Survey: Baryon Acoustic Oscillations and the Local Hubble Constant
• The Baryon Oscillation Spectroscopic Survey of SDSS-III
• Improved cosmological constraints from a joint analysis of the SDSS-II and SNLS supernova samples
• The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in the Data Release 10 and 11 galaxy samples
• The WiggleZ Dark Energy Survey: mapping the distance-redshift relation with baryon acoustic oscillations
• A 2% Distance to z=0.35 by Reconstructing Baryon Acoustic Oscillations - I : Methods and Application to the Sloan Digital Sky Survey
• Cosmological perturbations
• Scrutinizing Exotic Cosmological Models Using ESSENCE Supernova Data Combined with Other Cosmological Probes
• How many cosmological parameters?
• Gravitational Lensing
• Multiscale Gaussian Random Fields for Cosmological Simulations
• Relativistic cosmology and large-scale structure
• Confronting Lemaitre-Tolman-Bondi models with Observational Cosmology
• Do we really see a cosmological constant in the supernovae data ?
• Lemaitre-Tolman-Bondi model and accelerating expansion
• A Test of the Copernican Principle
• CMB anisotropies seen by an off-center observer in a spherically symmetric inhomogeneous universe
• Establishing homogeneity of the universe in the shadow of dark energy
• (Mis-)Interpreting supernovae observations in a lumpy universe
• Looking the void in the eyes - the kSZ effect in LTB models
• Observational constraints on inhomogeneous cosmological models without dark energy
• Confirmation of the Copernican principle at Gpc radial scale and above from the kinetic Sunyaev Zel'dovich effect power spectrum
• Testing the Void against Cosmological data: fitting CMB, BAO, SN and H0
• Can we avoid dark energy?
• Precision cosmology defeats void models for acceleration
• Scalar Perturbations on Lemaitre-Tolman-Bondi Spacetimes
• Gauge-invariant and coordinate-independent perturbations of stellar collapse I: the interior
• The kSZ effect as a test of general radial inhomogeneity in LTB cosmology
• Perturbation Theory in Lemaitre-Tolman-Bondi Cosmology
• Testing the Copernican principle by constraining spatial homogeneity
• The radial BAO scale and Cosmic Shear, a new observable for Inhomogeneous Cosmologies
• On the universality of void density profiles
• Cosmological Observations in a Local Void
• Linear kinetic Sunyaev-Zel'dovich effect and void models for acceleration
• Testing the Copernican Principle via Cosmological Observations
• Gauge-invariant and coordinate-independent perturbations of stellar collapse II: matching to the exterior
• How close can an Inhomogeneous Universe mimic the Concordance Model?
• Observational constraints on the LLTB model
• Tension in the Void: Cosmic Rulers Strain Inhomogeneous Cosmologies
• Large scale structure simulations of inhomogeneous LTB void models
• Rendering Dark Energy Void
• Probing spatial homogeneity with LTB models: a detailed discussion
• Euclid space mission: a cosmological challenge for the next 15 years
• Galaxy correlations and the BAO in a void universe: structure formation as a test of the Copernican Principle
• Evolution of density perturbations in large void universe
• Cosmological Perturbation Theory and Structure Formation
• Spatial and temporal tuning in void models for acceleration
• Evolution of linear perturbations in spherically symmetric dust spacetimes
• Gauge-invariant treatment of the integrated Sachs-Wolfe effect on general spherically symmetric spacetimes
• Conserved Quantities in Lemaitre-Tolman-Bondi Cosmology
• Two-point correlation function of density perturbations in a large void universe
• Comparison of two approximation schemes for solving perturbations in a LTB cosmological model

Cited by in corpus (4)

• Gravitational waves in Friedman-Lemaitre-Robertson-Walker cosmology, material perturbations and cosmological rotation, and the Huygens principle
• Linear perturbations in spherically symmetric dust cosmologies including a cosmological constant
• Light propagation in linearly perturbed $\Lambda$LTB models
• The gravitational wave background induced by nonlinear interactions between isotropic inhomogeneities and anisotropic inhomogeneous density perturbations