Inhomogeneous cosmological models: exact solutions and their applications

Abstract

Recently, inhomogeneous generalisations of the Friedmann-Lemaitre-Robertson-Walker cosmological models have gained interest in the astrophysical community and are more often employed to study cosmological phenomena. However, in many papers the inhomogeneous cosmological models are treated as an alternative to the FLRW models. In fact, they are not an alternative, but an exact perturbation of the latter, and are gradually becoming a necessity in modern cosmology. The assumption of homogeneity is just a first approximation introduced to simplify equations. So far this assumption is commonly believed to have worked well, but future and more precise observations will not be properly analysed unless inhomogeneities are taken into account. This paper reviews recent developments in the field and shows the importance of an inhomogeneous framework in the analysis of cosmological observations.

32 pages, 2 figures, contribution to Classical and Quantum Gravity special issue "Inhomogeneous Cosmological Models and Averaging in Cosmology"

References in corpus (59)

• Spectra and Light Curves of Six Type Ia Supernovae at 0.511 < z < 1.12 and the Union2 Compilation
• Primordial Nucleosynthesis in the Precision Cosmology Era
• A general test of the Copernican Principle
• Confronting Lemaitre-Tolman-Bondi models with Observational Cosmology
• Deuterium Abundance in the Most Metal-Poor Damped Lyman alpha System: Converging on Omega_baryons
• Lemaitre-Tolman-Bondi model and accelerating expansion
• Time drift of cosmological redshifts as a test of the Copernican principle
• On cosmological observables in a swiss-cheese universe
• McVittie's Legacy: Black Holes in an Expanding Universe
• A Test of the Copernican Principle
• 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
• Looking the void in the eyes - the kSZ effect in LTB models
• Observational constraints on inhomogeneous cosmological models without dark energy
• What is dust? - Physical foundations of the averaging problem in cosmology
• Light-cone averages in a swiss-cheese universe
• Can we avoid dark energy?
• Testing the Void against Cosmological data: fitting CMB, BAO, SN and H0
• Precision cosmology defeats void models for acceleration
• Scalar Perturbations on Lemaitre-Tolman-Bondi Spacetimes
• Backreaction: directions of progress
• The supernova Hubble diagram for off-center observers in a spherically symmetric inhomogeneous universe
• Mapping Luminosity-Redshift Relationship to LTB Cosmology
• Szekeres Swiss-Cheese model and supernova observations
• Local Void vs Dark Energy: Confrontation with WMAP and Type Ia Supernovae
• Can inhomogeneties accelerate the cosmic volume expansion?
• The Szekeres Swiss Cheese model and the CMB observations
• Toward physical cosmology: focus on inhomogeneous geometry and its non-perturbative effects
• Luminosity distance in "Swiss cheese" cosmology with randomized voids: I. Single void size
• The Cosmic Microwave Background in an Inhomogeneous Universe - why void models of dark energy are only weakly constrained by the CMB
• Solving the Inverse Problem with Inhomogeneous Universes
• Linear kinetic Sunyaev-Zel'dovich effect and void models for acceleration
• Reconciling the local void with the CMB
• Is backreaction really small within concordance cosmology?
• Structure formation in the quasispherical Szekeres model
• Redshift Drift in LTB Void Universes
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• Swiss Cheese and a Cheesy CMB
• Cosmic spherical void via coarse-graining and averaging non-spherical structures
• Observational constraints on the LLTB model
• Redshift propagation equations in the ${\beta }^{\prime }\ne 0$ Szekeres models
• Large-scale inhomogeneities may improve the cosmic concordance of supernovae
• Obtaining the spacetime metric from cosmological observations
• Physical and Geometrical Interpretation of the epsilon <= 0 Szekeres Models
• The Mass of the Cosmos
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• Determining the metric of the Cosmos: stability, accuracy, and consistency
• Analytical Estimate of the Effect of Spherical Inhomogeneities on Luminosity Distance and Redshift
• The spherical symmetry Black hole collapse in expanding universe
• The Metric of the Cosmos from Luminosity and Age Data
• The Great Attractor and the Shapley Concentration
• Differential Density Statistics of Galaxy Distribution and the Luminosity Function
• Solving the Observer Metric
• Using Time Drift of Cosmological Redshifts to find the Mass-Energy Density of the Universe
• Conceptual problems in detecting the evolution of dark energy when using distance measurements
• Solving Einstein Field Equations in Observational Coordinates with Cosmological Data Functions: Spherically Symmetric Universes with Cosmological Constant
• Inhomogeneous Cosmology, Inflation and Late-Time Accelerating Universe
• Formation of Gyrs old black holes in the center of galaxies within the Lema\^ıtre--Tolman model
• Can a charged dust ball be sent through the Reissner--Nordström wormhole?

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• Interactive mixture of inhomogeneous dark fluids driven by dark energy: a dynamical systems analysis
• DESIgning concordant distances in the age of precision cosmology: the impact of density fluctuations
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