Confronting Lemaitre-Tolman-Bondi models with Observational Cosmology

Abstract

The possibility that we live in a special place in the universe, close to the centre of a large void, seems an appealing alternative to the prevailing interpretation of the acceleration of the universe in terms of a LCDM model with a dominant dark energy component. In this paper we confront the asymptotically flat Lemaitre-Tolman-Bondi (LTB) models with a series of observations, from Type Ia Supernovae to Cosmic Microwave Background and Baryon Acoustic Oscillations data. We propose two concrete LTB models describing a local void in which the only arbitrary functions are the radial dependence of the matter density Omega_M and the Hubble expansion rate H. We find that all observations can be accommodated within 1 sigma, for our models with 4 or 5 independent parameters. The best fit models have a chi^2 very close to that of the LCDM model. We perform a simple Bayesian analysis and show that one cannot exclude the hypothesis that we live within a large local void of an otherwise Einstein-de Sitter model.

27 pages, 8 figures. A general Fortran program for comparing LTB models with cosmological observations, that has been used to make the parameter scan in this paper is made public, and can be downloaded at http://www.phys.au.dk/~haugboel/software.shtml . Added references, match published version

References in corpus (32)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• Final Results from the Hubble Space Telescope Key Project to Measure the Hubble Constant
• The Supernova Legacy Survey: Measurement of Omega_M, Omega_Lambda and w from the First Year Data Set
• Baryonic Features in the Matter Transfer Function
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Temperature Analysis
• Observational Constraints on the Nature of the Dark Energy: First Cosmological Results from the ESSENCE Supernova Survey
• Improved Distances to Type Ia Supernovae with Multicolor Light Curve Shapes: MLCS2k2
• Cosmic Growth History and Expansion History
• Scrutinizing Exotic Cosmological Models Using ESSENCE Supernova Data Combined with Other Cosmological Probes
• From the Big Bang Theory to the Theory of a Stationary Universe
• Detection of non-Gaussianity in the WMAP 1-year data using spherical wavelets
• How many cosmological parameters?
• The Clustering of Luminous Red Galaxies in the Sloan Digital Sky Survey Imaging Data
• Applications of Bayesian model selection to cosmological parameters
• Cosmic Structure Growth and Dark Energy
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Interpretation of the TT and TE Angular Power Spectrum Peaks
• An inhomogeneous alternative to dark energy?
• The non-Gaussian Cold Spot in the 3-year WMAP data
• A Local Void and the Accelerating Universe
• A Local Hubble Bubble from SNe Ia?
• The non-Gaussian Cold Spot in WMAP: significance, morphology and foreground contribution
• The effect of inhomogeneous expansion on the supernova observations
• Fluctuations of the Gravitational Constant in the Inflationary Brans-Dicke Cosmology
• CMB anisotropies seen by an off-center observer in a spherically symmetric inhomogeneous universe
• A Bayesian model selection analysis of WMAP3
• Do We Live in the Center of the World?
• Analyses of Type Ia Supernova Data in Cosmological Models with a Local Void
• Bayesian model selection and isocurvature perturbations
• The Local Hole in the Galaxy Distribution: Evidence from 2MASS
• The Local Hole in the Galaxy Distribution: New Optical Evidence

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