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 (115)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Planck 2013 results. XVI. Cosmological parameters
• Dynamics of dark energy
• The Cosmological Constant and Dark Energy
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• f(R) Theories Of Gravity
• Modified Gravity and Cosmology
• Cosmological parameters from SDSS and WMAP
• f(R) theories
• Cosmological Imprint of an Energy Component with General Equation of State
• 4D Gravity on a Brane in 5D Minkowski Space
• A Phantom Menace? Cosmological consequences of a dark energy component with super-negative equation of state
• The Case for a Positive Cosmological Lambda-term
• An alternative to quintessence
• Phantom Energy and Cosmic Doomsday
• Generalized Chaplygin Gas, Accelerated Expansion and Dark Energy-Matter Unification
• A Dynamical Solution to the Problem of a Small Cosmological Constant and Late-time Cosmic Acceleration
• A Model of Holographic Dark Energy
• The galileon as a local modification of gravity
• Essentials of k-essence
• Resummation of Massive Gravity
• Cosmological Tracking Solutions
• A 3% Solution: Determination of the Hubble Constant with the Hubble Space Telescope and Wide Field Camera 3
• Kinetically Driven Quintessence
• Cosmological Constraints from the SDSS Luminous Red Galaxies
• Dark Energy Constraints from the Cosmic Age and Supernova
• Dark torsion as the cosmic speed-up
• Einstein's Other Gravity and the Acceleration of the Universe
• Accelerated Universe from Gravity Leaking to Extra Dimensions
• Cosmology on a Brane in Minkowski Bulk
• Resolving the Ghost Problem in non-Linear Massive Gravity
• Gauss-Bonnet dark energy
• A Dark Energy Model Characterized by the Age of the Universe
• A New Model of Agegraphic Dark Energy
• Testing the cosmological principle of isotropy: local power spectrum estimates of the WMAP data
• Hessence: A New View of Quintom Dark Energy
• LBDS 53W091: An Old red Galaxy at z=1.552
• The Hubble Constant: A Summary of the HST Program for the Luminosity Calibration of Type Ia Supernovae by Means of Cepheids
• An inhomogeneous alternative to dark energy?
• Could dark energy be vector-like?
• Conditions for the cosmological viability of the most general scalar-tensor theories and their applications to extended Galileon dark energy models
• Confronting Lemaitre-Tolman-Bondi models with Observational Cosmology
• Gauss-Bonnet Quintessence: Background Evolution, Large Scale Structure and Cosmological Constraints
• A Local Void and the Accelerating Universe
• Cosmological Constraints on New Agegraphic Dark Energy
• A Local Hubble Bubble from SNe Ia?
• Lemaitre-Tolman-Bondi model and accelerating expansion
• Do we really see a cosmological constant in the supernovae data ?
• Time drift of cosmological redshifts as a test of the Copernican principle
• Categorizing Different Approaches to the Cosmological Constant Problem
• Generalized Galileon cosmology
• Cosmological Evolution of Hessence Dark Energy and Avoidance of the Big Rip
• The effect of inhomogeneous expansion on the supernova observations
• 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
• High-redshift objects and the generalized Chaplygin gas
• Living in a Void: Testing the Copernican Principle with Distant Supernovae
• Is dark energy the only solution to the apparent acceleration of the present universe?
• Dark Energy: the Cosmological Challenge of the Millennium
• Mimicking Dark Energy with Lemaitre-Tolman-Bondi Models: Weak Central Singularities and Critical Points
• Discovery of an ionized Fe-K edge in the z=3.91 Broad Absorption Line Quasar APM 08279+5255 with XMM-Newton
• 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
• 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
• A (giant) void is not mandatory to explain away dark energy with a Lemaitre - Tolman model
• Dark spinor models in gravitation and cosmology
• Cosmic Microwave Background, Accelerating Universe and Inhomogeneous Cosmology
• Analyses of Type Ia Supernova Data in Cosmological Models with a Local Void
• Constraining the cosmic equation of state from old galaxies at high redshift
• The kSZ effect as a test of general radial inhomogeneity in LTB cosmology
• Spinor Dark Energy and Cosmological Coincidence Problem
• The age problem in $\Lambda$CDM model
• Dark energy with dark spinors
• New limits on ${\Omega }_{\Lambda }$ and ${\Omega }_M$ from old galaxies at high redshift
• A tracker solution to the cold dark matter cosmic coincidence problem
• Distinguishing Between Void Models and Dark Energy with Cosmic Parallax and Redshift Drift
• Testing the Copernican principle by constraining spatial homogeneity
• Lookback time as a test for brane cosmology
• An old quasar in a young dark energy-dominated universe?
• The Cosmic Microwave Background in an Inhomogeneous Universe - why void models of dark energy are only weakly constrained by the CMB
• Age of High Redshift Objects - a Litmus Test for the Dark Energy Models
• Linear kinetic Sunyaev-Zel'dovich effect and void models for acceleration
• Testing the Copernican Principle via Cosmological Observations
• The Existence of an Old Quasar at $z=3.91$ and its Implications for $\Lambda (t)$ Deflationary Cosmologies
• Cosmological implications of APM 08279+5255, an old quasar at z = 3.91
• Age Dating of a High-Redshift QSO B1422+231 at Z=3.62 and its Cosmological Implications
• Cheng-Weyl Vector Field and its Cosmological Application
• Revisit of cosmic age problem
• Consistency of $f(R)=\sqrt{R^2-R_0^2}$ Gravity with the Cosmological Observations in Palatini Formalism
• Observational constraints on the LLTB model
• Undermining the Cosmological Principle: Almost Isotropic Observations in Inhomogeneous Cosmologies
• Age constraints on the cosmic equation of state
• What the small angle CMB really tells us about the curvature of the Universe
• Spectral energy distributions and age estimates of 104 M31 globular clusters
• Spectral Energy Distributions and Age Estimates of 39 Globular Clusters in M31
• Constraints on Lema\^ıtre-Tolman-Bondi models from Observational Hubble Parameter data
• Power-law Parameterized Quintessence Model
• Cosmic age test in inhomogeneous cosmological models mimicking $\Lambda$CDM on the light cone
• Observational Constraints with Recent Data on the DGP Modified Gravity
• Some clarifications about Lemaître-Tolman models of the Universe used to deal with the dark energy problem
• Galaxy correlations and the BAO in a void universe: structure formation as a test of the Copernican Principle
• Testing the Copernican and Cosmological Principles in the local universe with galaxy surveys
• Stringent Restriction from the Growth of Large-Scale Structure on Apparent Acceleration in Inhomogeneous Cosmological Models
• 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
• Distinguishing between inhomogeneous model and $\Lambda \text{CDM}$ model with the cosmic age method
• Intrinsic energy of Lemaître-Tolman-Bondi models and cosmological implications

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• Cosmic Anisotropy and Fast Radio Bursts
• Impacts of different SNLS3 light-curve fitters on cosmological consequences of interacting dark energy models
• Study of the observational compatibility of an inhomogeneous cosmology with linear expansion according to SNe Ia
• Lemaitre-Tolman-Bondi Static Universe in Rastall-like Gravity
• Cosmological implications of different baryon acoustic oscillation data
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