Solving the Inverse Problem with Inhomogeneous Universes

Abstract

We construct the Lemaître-Tolman-Bondi (LTB) dust universe whose distance-redshift relation is equivalent to that in the concordance $\Lambda$ cold dark matter ($\Lambda$CDM) cosmological model. In our model, the density distribution and velocity field are not homogeneous, whereas the big-bang time is uniform, which implies that the universe is homogeneous at its beginning. We also study the effects of local clumpiness in the density distribution as well as the effects of large-scale inhomogeneities on the distance-redshift relation, and show that these effects may reduce the amplitude of large-scale inhomogeneities necessary for having a distance-redshift relation that is the same as that of the concordance $\Lambda$CDM universe. We also study the temporal variation of the cosmological redshift and show that, by the observation of this quantity, we can distinguish our LTB universe model from the concordance $\Lambda$CDM model, even if their redshift-distance relations are equivalent to each other.

28 pages,12 figures,PTP accepted version,typo corrected

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Cited by in corpus (61)

• Inhomogeneous cosmological models: exact solutions and their applications
• Inhomogeneity and the foundations of concordance cosmology
• Establishing homogeneity of the universe in the shadow of dark energy
• Observational constraints on inhomogeneous cosmological models without dark energy
• Precision cosmology defeats void models for acceleration
• Real-time Cosmology
• A (giant) void is not mandatory to explain away dark energy with a Lemaitre - Tolman model
• Szekeres Swiss-Cheese model and supernova observations
• Inhomogeneity effects in Cosmology
• Distinguishing Between Void Models and Dark Energy with Cosmic Parallax and Redshift Drift
• The Cosmic Microwave Background in an Inhomogeneous Universe - why void models of dark energy are only weakly constrained by the CMB
• Testing the Copernican Principle via Cosmological Observations
• Redshift Drift in LTB Void Universes
• How close can an Inhomogeneous Universe mimic the Concordance Model?
• Observational constraints on the LLTB model
• Conformally Friedmann-Lemaitre-Robertson-Walker cosmologies
• Imitating accelerated expansion of the Universe by matter inhomogeneities - corrections of some misunderstandings
• Rendering Dark Energy Void
• CMB observations in LTB universes: Part I: Matching peak positions in the CMB spectrum
• Exact spherically-symmetric inhomogeneous model with n perfect fluids
• Optical drift effects in general relativity
• CMB observations in LTB universes: Part II: the kSZ effect in an LTB universe
• Corrections to the apparent value of the cosmological constant due to local inhomogeneities
• Supernovae data and perturbative deviation from homogeneity
• Redshift drift in axially symmetric quasi-spherical Szekeres models
• Cosmic age test in inhomogeneous cosmological models mimicking $\Lambda$CDM on the light cone
• Redshift drift in an inhomogeneous universe: averaging and the backreaction conjecture
• The Metric of the Cosmos from Luminosity and Age Data
• Mimicking the cosmological constant for more than one observable with large scale inhomogeneities
• Some clarifications about Lemaître-Tolman models of the Universe used to deal with the dark energy problem
• Can the cosmological constant be mimicked by smooth large-scale inhomogeneities for more than one observable?
• Testing homogeneity with galaxy number counts : light-cone metric and general low-redshift expansion for a central observer in a matter dominated isotropic universe without cosmological constant
• Evolution of density perturbations in large void universe
• The effect of pressure gradients on luminosity distance - redshift relations
• Spherical Domain Wall Collapse in a Dust Universe
• Spatial and temporal tuning in void models for acceleration
• A Note on the Inverse Problem with LTB Universes
• What's Inside the Cone? Numerically reconstructing the metric from observations
• Calculating Observables in Inhomogeneous Cosmologies I: General Framework
• Back Reaction from Walls
• Thermodynamics and Lemaitre-Tolman-Bondi void models
• Observational cosmology using characteristic numerical relativity
• Direct Measurement of the Positive Acceleration of the Universe and Testing Inhomogeneous Models under Gravitational Wave Cosmology
• Inhomogeneities in dusty universe - a possible alternative to dark energy?
• Accelerating expansion or inhomogeneity? Part 2: Mimicking acceleration with the energy function in the Lema\^ıtre-Tolman model
• Accelerated cosmic expansion in a scalar-field universe
• Observational Constraint on Spherical Inhomogeneity with CMB and Local Hubble Parameter
• Blueshifts in the Lema\^ıtre -- Tolman models
• A new method to determine large scale structure from the luminosity distance
• Conditions for low-redshift positive apparent acceleration in smooth inhomogeneous models
• Testing LTB Void Models Without the Cosmic Microwave Background or Large Scale Structure: New Constraints from Galaxy Ages
• Gauge-invariant treatment of the integrated Sachs-Wolfe effect on general spherically symmetric spacetimes
• Apparent versus true value of the cosmological constant
• Inverse Construction of the $\Lambda$LTB Model from a Distance-redshift Relation
• Two-point correlation function of density perturbations in a large void universe
• The magnitude-redshift relation in a realistic inhomogeneous universe
• Systematic error due to isotropic inhomogeneities
• Mimicking acceleration in the constant-bang-time Lema\^ıtre -- Tolman model: Shell crossings, density distributions and light cones
• Reconstructing the metric of the local Universe from number counts observations
• Newtonian self-gravitating system in a relativistic huge void universe model
• Can we remove the systematic error due to isotropic inhomogeneities?