Lemaitre-Tolman-Bondi model and accelerating expansion

Abstract

I discuss the spherically symmetric but inhomogeneous Lemaitre-Tolman- Bondi (LTB) metric, which provides an exact toy model for an inhomogeneous universe. Since we observe light rays from the past light cone, not the expansion of the universe, spatial variation in matter density and Hubble rate can have the same effect on redshift as acceleration in a perfectly homogeneous universe. As a consequence, a simple spatial variation in the Hubble rate can account for the distant supernova data in a dust universe without any dark energy. I also review various attempts towards a semirealistic description of the universe based on the LTB model.

Invited Review for a special Gen. Rel. Grav. issue on Dark Energy. 17 pages, 3 figures

References in corpus (38)

• 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
• Dynamics of dark energy
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• 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
• Can modified gravity explain accelerated cosmic expansion?
• The significance of the largest scale CMB fluctuations in WMAP
• On average properties of inhomogeneous fluids in general relativity I: dust cosmologies
• Is the low-l microwave background cosmic?
• An inhomogeneous alternative to dark energy?
• Fluctuations of the luminosity distance
• A Local Void and the Accelerating Universe
• A Local Hubble Bubble from SNe Ia?
• The matter power spectrum in f(R) gravity
• The universe seen at different scales
• Large Scale Inhomogeneity Versus Source Evolution -- Can We Distinguish Them Observationally?
• Accelerated expansion from structure formation
• The effect of inhomogeneous expansion on the supernova observations
• CMB anisotropies seen by an off-center observer in a spherically symmetric inhomogeneous universe
• Is dark energy the only solution to the apparent acceleration of the present universe?
• Cosmological Solutions in Macroscopic Gravity
• The supernova Hubble diagram for off-center observers in a spherically symmetric inhomogeneous universe
• Mapping Luminosity-Redshift Relationship to LTB Cosmology
• Analyses of Type Ia Supernova Data in Cosmological Models with a Local Void
• Cosmic Microwave Background, Accelerating Universe and Inhomogeneous Cosmology
• The Local Hole in the Galaxy Distribution: Evidence from 2MASS
• The Effect of Large-Scale Inhomogeneities on the Luminosity Distance
• Inhomogeneous spacetimes as a dark energy model
• Dark Energy: Recent Developments
• Bulk flows and CMB dipole anisotropy in cosmological void models
• Backreaction in the Lemaitre-Tolman-Bondi model
• Cosmic acceleration: Inhomogeneity versus vacuum energy
• Cosmological Acceleration and Gravitational Collapse
• Large-scale galaxy correlations as a test for dark energy
• Can a dust dominated universe have accelerated expansion?

Cited by in corpus (134)

• Dark Energy and the Accelerating Universe
• Cosmology and Fundamental Physics with the Euclid Satellite
• Cosmology and fundamental physics with the Euclid satellite
• Backreaction in late-time cosmology
• General Relativity and Cosmology: Unsolved Questions and Future Directions
• Inhomogeneous cosmological models: exact solutions and their applications
• Inhomogeneity and the foundations of concordance cosmology
• The effect of peculiar velocities on supernova cosmology
• Establishing homogeneity of the universe in the shadow of dark energy
• New test of the FLRW metric using the distance sum rule
• Light propagation in statistically homogeneous and isotropic dust universes
• Testing the Void against Cosmological data: fitting CMB, BAO, SN and H0
• Can we avoid dark energy?
• What do we really know about Dark Energy?
• Scalar Perturbations on Lemaitre-Tolman-Bondi Spacetimes
• Light propagation in statistically homogeneous and isotropic universes with general matter content
• Multiscale cosmology and structure-emerging Dark Energy: A plausibility analysis
• Szekeres Swiss-Cheese model and supernova observations
• Constraints on large scale inhomogeneities from WMAP-5 and SDSS: confrontation with recent observations
• Evaluating backreaction with the peak model of structure formation
• Non-adiabatic dark fluid cosmology
• Model-independent cosmological constraints from the CMB
• Model-independent determination of $H_0$ and ${\Omega }_{K0}$ from strong lensing and type Ia supernovae
• Toward physical cosmology: focus on inhomogeneous geometry and its non-perturbative effects
• The radial BAO scale and Cosmic Shear, a new observable for Inhomogeneous Cosmologies
• 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
• Lagrangian theory of structure formation in relativistic cosmology II: average properties of a generic evolution model
• Model-independent Curvature Determination from Gravitational-Wave Standard Sirens and Cosmic Chronometers
• Testing the Copernican Principle via Cosmological Observations
• Model-independent estimations for the curvature from standard candles and clocks
• A novel approach to the dynamics of Szekeres dust models
• Redshift Drift in LTB Void Universes
• Pressure gradients, shell crossing singularities and acoustic oscillations - application to inhomogeneous cosmological models
• Quasi-local variables in spherical symmetry: numerical applications to dark matter and dark energy sources
• Back-reaction and effective acceleration in generic LTB dust models
• Does the Universe Accelerate Equally in all Directions?
• Gauging the cosmic microwave background
• Luminosity distance and redshift in the Szekeres inhomogeneous cosmological models
• Revealing the late-time transition of $H_0$: relieve the Hubble crisis
• Apparent and average acceleration of the Universe
• Tension in the Void: Cosmic Rulers Strain Inhomogeneous Cosmologies
• Large scale structure simulations of inhomogeneous LTB void models
• Virialisation-induced curvature as a physical explanation for dark energy
• Dynamics of a lattice Universe
• Conformally Friedmann-Lemaitre-Robertson-Walker cosmologies
• Geodesic-light-cone coordinates and the Bianchi I spacetime
• Complete solutions to the metric of spherically collapsing dust in an expanding spacetime with a cosmological constant
• The growth of structure in the Szekeres inhomogeneous cosmological models and the matter-dominated era
• Rendering Dark Energy Void
• Probing spatial homogeneity with LTB models: a detailed discussion
• CMB observations in LTB universes: Part I: Matching peak positions in the CMB spectrum
• Residual Hubble-bubble effects on supernova cosmology
• Averaging Robertson-Walker Cosmologies
• Evidence for an environment-dependent shift in the baryon acoustic oscillation peak
• An effective description of Laniakea: impact on cosmology and the local determination of the Hubble constant
• Perceiving the equation of state of Dark Energy while living in a Cold Spot
• Supernovae data and perturbative deviation from homogeneity
• Testing the Cosmic Anisotropy with Supernovae Data: Hemisphere Comparison and Dipole Fitting
• The KBC Void: Consistency with Supernovae Type Ia and the Kinematic SZ Effect in a $\Lambda$LTB Model
• Test of the FLRW metric and curvature with strong lens time delays
• Redshift drift in axially symmetric quasi-spherical Szekeres models
• Curvature from strong gravitational lensing: a spatially closed Universe or systematics?
• Large-scale growth evolution in the Szekeres inhomogeneous cosmological models with comparison to growth data
• A Cosmological Underdensity Does Not Solve the Hubble Tension
• Constraints on Lema\^ıtre-Tolman-Bondi models from Observational Hubble Parameter data
• Evolution of radial profiles in regular Lemaitre-Tolman-Bondi dust models
• Radial asymptotics of Lemaitre-Tolman-Bondi dust models
• Studying the precision of ray tracing techniques with Szekeres models
• Vector and Tensor Contributions to the Luminosity Distance
• Cosmic age test in inhomogeneous cosmological models mimicking $\Lambda$CDM on the light cone
• The Metric of the Cosmos from Luminosity and Age Data
• Chaplygin gas and effective description of inhomogeneous universe models in general relativity
• Boson mixing and flavor vacuum in the expanding Universe: a possible candidate for the dark energy
• Evidence for the Fifth Element Astrophysical status of Dark Energy
• Scalar Fields and the FLRW Singularity
• Weighed scalar averaging in LTB dust models, part I: statistical fluctuations and gravitational entropy
• Age Problem in Lemaitre-Tolman-Bondi Void Models
• The effect of pressure gradients on luminosity distance - redshift relations
• Spatial and temporal tuning in void models for acceleration
• Noncommutative Corrections to the Robertson-Walker metric
• Probing large scale homogeneity and periodicity in the LRG distribution using Shannon entropy
• CMB seen through random Swiss Cheese
• Dependence on supernovae light-curve processing in void models
• Recovering a redshift-extended VSL signal from galaxy surveys
• Charged Dark Matter and the $H_0$ tension
• Relativistic cosmological perturbation scheme on a general background: scalar perturbations for irrotational dust
• Discriminating different models of luminosity-redshift distribution
• Can the Copernican principle be tested by cosmic neutrino background?
• Prospects in Constraining the Dark Energy Potential
• Thermodynamics and Lemaitre-Tolman-Bondi void models
• Understanding Gravitational Entropy of Black Holes: A New Proposal via Curvature Invariants
• Observational cosmology using characteristic numerical relativity: Characteristic formalism on null geodesics
• Weighed scalar averaging in LTB dust models, part II: a formalism of exact perturbations
• DESIgning concordant distances in the age of precision cosmology: the impact of density fluctuations
• Presence of anisotropic pressures in Lemaître-Tolman-Bondi cosmological models
• Lemaitre-Tolman-Bondi Static Universe in Rastall-like Gravity
• Accelerating the Universe with Gravitational Waves
• Testing LTB Void Models Without the Cosmic Microwave Background or Large Scale Structure: New Constraints from Galaxy Ages
• Inhomogeneous solutions in $f(T,B)$ gravity
• Inhomogeneous spacetimes in Einstein-æther Cosmology
• CMB sky for an off-center observer in a local void I: framework for forecasts
• Alleviating the Hubble Tension with a Local Void and Transitions of the Absolute Magnitude
• Evolution of linear perturbations in Lemaître-Tolman-Bondi void models
• Taylor expansion of luminosity distance in Szekeres cosmological models: Effects of local structures evolution on cosmographic parameters
• A note on second-order perturbations of non-canonical scalar fields
• Form Invariance of Raychaudhuri equation in the presence of Inflaton-type fields
• Modified Friedmann equations via conformal Bohm -- De Broglie gravity
• Maximal symmetry and metric-affine f(R) gravity
• A Scaling Relation in Inhomogeneous Cosmology with k-essence scalar fields
• Cosmic acceleration from quantum Friedmann equations
• Gravitational backreaction in cosmological spacetimes
• Phenomenological constraints on Lemaitre-Tolman-Bondi cosmological inhomogeneities from solar system dynamics
• Intrinsic energy of Lemaître-Tolman-Bondi models and cosmological implications
• Unified description of galactic dynamics and the cosmological constant
• High-derivatives and massive electromagnetic models in the Lemaitre-Tolman-Bondi spacetime
• The fractal bubble model with a cosmological constant
• A fractal LTB model cannot explain Dark Energy
• Beyond Spherical Top Hat Collapse
• An inhomogeneous universe with thick shells and without cosmological constant
• Probing Time-Dependent Dark Energy with the Flux Power Spectrum of the Lyman $\alpha$ Forest
• Well-posedness of Einstein's Equation with Redshift Data
• How large is the contribution of cosmic web to ${\Omega }_{\Lambda }$ ? A preliminary study on a novel inhomogenous model
• Electrodynamics in an LTB scenario
• Linear perturbations in spherically symmetric dust cosmologies including a cosmological constant
• A new magnitude--redshift relation based on Type Ia supernovae
• Temperature Anisotropy of the CMBR and the Non-zero Cosmological Constant
• Light propagation in linearly perturbed $\Lambda$LTB models
• Limits on the Inferred Hubble Constant Bias from a Local McVittie Gravitational Field
• Infeasibility of Graviton Detection as Cosmic Censorship
• Attractive voids
• Acceleration from a clustering environment
• Cosmological Model with a Local Void: New Supernova Constraints
• Spherical and Plane Symmetric Solutions in Macroscopic Gravity