Cosmological Solutions in Macroscopic Gravity
arXiv:gr-qc/0504115 · doi:10.1103/PhysRevLett.95.151102
Abstract
In the macroscopic gravity approach to the averaging problem in cosmology, the Einstein field equations on cosmological scales are modified by appropriate gravitational correlation terms. We present exact cosmological solutions to the equations of macroscopic gravity for a spatially homogeneous and isotropic macroscopic space-time and find that the correlation tensor is of the form of a spatial curvature term. We briefly discuss the physical consequences of these results.
5 pages
References in corpus (9)
- Cosmological Constant - the Weight of the Vacuum
- On average properties of inhomogeneous fluids in general relativity I: dust cosmologies
- The Emergent Universe: inflationary cosmology with no singularity
- The Emergent Universe: An Explicit Construction
- On average properties of inhomogeneous fluids in general relativity II: perfect fluid cosmologies
- Dark energy from backreaction
- Back Reaction And Local Cosmological Expansion Rate
- Averaging in Cosmology
- Space-time Averages in Macroscopic Gravity and Volume-preserving Coordinates
Cited by in corpus (99)
- Dynamics of dark energy
- Dark Energy from structure: a status report
- Dark Energy and Dark Gravity
- Relativistic cosmology and large-scale structure
- Cosmic clocks, cosmic variance and cosmic averages
- Does the growth of structure affect our dynamical models of the universe? The averaging, backreaction and fitting problems in cosmology
- Exact solution to the averaging problem in cosmology
- Lemaitre-Tolman-Bondi model and accelerating expansion
- The universe seen at different scales
- Accelerated expansion from structure formation
- The effect of inhomogeneous expansion on the supernova observations
- A new framework for analyzing the effects of small scale inhomogeneities in cosmology
- Interacting holographic dark energy
- Do f(R) theories matter?
- Light propagation in statistically homogeneous and isotropic dust universes
- Average observational quantities in the timescape cosmology
- What is dust? - Physical foundations of the averaging problem in cosmology
- Correspondence between kinematical backreaction and scalar field cosmologies - the `morphon field'
- Backreaction: directions of progress
- Light propagation in statistically homogeneous and isotropic universes with general matter content
- Observational constraints on phantom-like braneworld cosmologies
- On the onset of cosmological backreaction
- Inhomogeneity effects in Cosmology
- Interpretation of the Hubble diagram in a nonhomogeneous universe
- Evaluating backreaction with the peak model of structure formation
- An exact quantification of backreaction in relativistic cosmology
- Cosmological background solutions and cosmological backreactions
- Cosmological equivalence principle and the weak-field limit
- Non-Newtonian behavior in weak field general relativity for extended rotating sources
- A new stochastic approach to cumulative weak lensing
- On globally static and stationary cosmologies with or without a cosmological constant and the Dark Energy problem
- Microscopic and Macroscopic Behaviors of Palatini Modified Gravity Theories
- The Spatial Averaging Limit of Covariant Macroscopic Gravity - Scalar Corrections to the Cosmological Equations
- Spatial curvature and cosmological tests of general relativity
- Asymmetric inflation: exact solutions
- Quasi-local variables in spherical symmetry: numerical applications to dark matter and dark energy sources
- Observational constraints on the LLTB model
- Averaging in Spherically Symmetric Cosmology
- Back-reaction and effective acceleration in generic LTB dust models
- Examples of backreaction of small scale inhomogeneities in cosmology
- The Averaging Problem in Cosmology and Macroscopic Gravity
- Dark Energy from Brane-world Gravity
- Cosmology Without Averaging
- Explicit Cosmological Coarse Graining via Spatial Averaging
- Averaging Spherically Symmetric Spacetimes in General Relativity
- Spherically symmetric Einstein-aether perfect fluid models
- An effective description of Laniakea: impact on cosmology and the local determination of the Hubble constant
- Averaging Robertson-Walker Cosmologies
- Inhomogeneous cosmology and backreaction: Current status and future prospects
- Covariant coarse-graining of inhomogeneous dust flow in General Relativity
- Backreaction of Cosmological Perturbations in Covariant Macroscopic Gravity
- A Complete Cosmological Solution to the Averaged Einstein Field Equations as found in Macroscopic Gravity
- Is dark energy an effect of averaging?
- Large-scale growth evolution in the Szekeres inhomogeneous cosmological models with comparison to growth data
- SNe observations in a meatball universe with a local void
- Back-Reaction in Relativistic Cosmology
- Observational Constraints on the Averaged Universe
- Weighed scalar averaging in LTB dust models, part I: statistical fluctuations and gravitational entropy
- Indistinguishable Macroscopic Behaviour of Palatini Gravities and General Relativity
- Dark energy, curvature, and cosmic coincidence
- Large-scale peculiar motions and cosmic acceleration
- Spherically Symmetric Solutions in Macroscopic Gravity
- Testing averaged cosmology with type Ia supernovae and BAO data
- Averaging Einstein's Equations: The Linearized Case
- Quasi-local variables, non-linear perturbations and back-reaction in spherically symmetric spacetimes
- Mathematical General Relativity
- Light propagation in the averaged universe
- Averaging anisotropic cosmologies
- Backreaction: Gauge and Frame Dependences
- Future evolution in a backreaction model and the analogous scalar field cosmology
- Bohmian Quantization of the Big Rip
- On the physical effects of consistent cosmological averaging
- General relativistic density perturbations
- What is General Relativity?
- Peculiar anisotropic stationary spherically symmetric solution of Einstein equations
- Open problems in mathematical physics
- Lightcone Averaging and Precision Cosmology
- Averaged Lemaître-Tolman-Bondi dynamics
- Modelling the emergence of cosmic anisotropy from non-linear structures
- Accelerating the Universe with Gravitational Waves
- Future deceleration due to backreaction in a Universe with multiple inhomogeneous domains
- Expansion and Growth of Structure Observables in a Macroscopic Gravity Averaged Universe
- Averaging in cosmology based on Cartan scalars
- Observational Cosmology in Macroscopic Gravity
- Long-Wavelength Modes of Cosmological Scalar Fields
- Demonstration of the spike phenomenon using the LTB models
- Isotropization of solutions of the Einstein-Vlasov system with Bianchi V symmetry
- Analyzing the 21-cm signal brightness temperature in the Universe with inhomogeneities
- The sounds of science a symphony for many instruments and voices part II
- Data Analysis and Phenomenological Cosmology
- Averaged universe confronted with cosmological observations: A fully covariant approach
- Constraining the Hubble parameter with the 21 cm brightness temperature signal in a universe with inhomogeneities
- Unimodular Gravity and Averaging
- Periodic boundary conditions and cosmology
- An Almost-FLRW Universe as the Averaged Geometry in Macroscopic Gravity
- On the Effects of Non-metricity in an Averaged Universe
- On the Action, Topology and Geometric Invariants in Quantum Gravity
- Spherical and Plane Symmetric Solutions in Macroscopic Gravity
- Does Smoothing Matter?