Age Problem in Lemaitre-Tolman-Bondi Void Models

Abstract

As is well known, one can explain the current cosmic acceleration by considering an inhomogeneous and/or anisotropic universe (which violates the cosmological principle), without invoking dark energy or modified gravity. The well-known one of this kind of models is the so-called Lema\^ıtre-Tolman-Bondi (LTB) void model, in which the universe is spherically symmetric and radially inhomogeneous, and we are living in a locally underdense void centered nearby our location. In the present work, we test various LTB void models with some old high redshift objects (OHROs). Obviously, the universe cannot be younger than its constituents. We find that an unusually large $r_0$ (characterizing the size of the void) is required to accommodate these OHROs in LTB void models. There is a serious tension between this unusually large $r_0$ and the much smaller $r_0$ inferred from other observations (e.g. SNIa, CMB and so on). However, if we instead consider the lowest limit 1.7\,Gyr for the quasar APM 08279+5255 at redshift $z=3.91$, this tension could be greatly alleviated.

17 pages, 9 figures, revtex4; v2: discussions added, Phys. Lett. B in press; v3: published version

References in corpus (39)

• Dynamics of dark energy
• Resummation of Massive Gravity
• Cosmological Constraints from the SDSS Luminous Red Galaxies
• Dark torsion as the cosmic speed-up
• Einstein's Other Gravity and the Acceleration of the Universe
• A Dark Energy Model Characterized by the Age of the Universe
• A New Model of Agegraphic Dark Energy
• The Hubble Constant: A Summary of the HST Program for the Luminosity Calibration of Type Ia Supernovae by Means of Cepheids
• Confronting Lemaitre-Tolman-Bondi models with Observational Cosmology
• Gauss-Bonnet Quintessence: Background Evolution, Large Scale Structure and Cosmological Constraints
• Cosmological Constraints on New Agegraphic Dark Energy
• Lemaitre-Tolman-Bondi model and accelerating expansion
• Time drift of cosmological redshifts as a test of the Copernican principle
• A Test of the Copernican Principle
• Interacting Vector-like Dark Energy, the First and Second Cosmological Coincidence Problems
• CMB anisotropies seen by an off-center observer in a spherically symmetric inhomogeneous universe
• Living in a Void: Testing the Copernican Principle with Distant Supernovae
• Mimicking Dark Energy with Lemaitre-Tolman-Bondi Models: Weak Central Singularities and Critical Points
• Can we avoid dark energy?
• Age Problem in the Holographic Dark Energy Model
• Precision cosmology defeats void models for acceleration
• Scalar Perturbations on Lemaitre-Tolman-Bondi Spacetimes
• Spinor Dark Energy and Cosmological Coincidence Problem
• Lookback time as a test for brane cosmology
• The Cosmic Microwave Background in an Inhomogeneous Universe - why void models of dark energy are only weakly constrained by the CMB
• Linear kinetic Sunyaev-Zel'dovich effect and void models for acceleration
• Consistency of $f(R)=\sqrt{R^2-R_0^2}$ Gravity with the Cosmological Observations in Palatini Formalism
• Cheng-Weyl Vector Field and its Cosmological Application
• Revisit of cosmic age problem
• Observational constraints on the LLTB model
• Age constraints on the cosmic equation of state
• Spectral Energy Distributions and Age Estimates of 39 Globular Clusters in M31
• Power-law Parameterized Quintessence Model
• Observational Constraints with Recent Data on the DGP Modified Gravity
• Galaxy correlations and the BAO in a void universe: structure formation as a test of the Copernican Principle
• Is Thick Brane Model Consistent with the Recent Observations?
• Probing violation of the Copernican principle via the integrated Sachs-Wolfe effect
• Dark Energy Cosmology with the Alternative Cosmic Microwave Background Data
• Constraints from the Old Quasar APM 08279+5255 on Two Classes of $\Lambda ($t$)$-Cosmologies