Further Exact Cosmological Solutions to Higher-Order Gravity Theories
arXiv:gr-qc/0601118 · doi:10.1088/0264-9381/23/9/011
Abstract
We investigate the effect of deviations from general relativity on approach to the initial singularity by finding exact cosmological solutions to a wide class of fourth-order gravity theories. We present new anisotropic vacuum solutions of modified Kasner type and demonstrate the extent to which they are valid in the presence of non-comoving perfect-fluid matter fields. The infinite series of Mixmaster oscillations seen in general relativity will not occur in these solutions, except in unphysical cases.
arXiv comment15 pages and 2 figures
References in corpus (7)
- Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
- The Cosmology of Generalized Modified Gravity Models
- Cosmological dynamics of R^n gravity
- Anisotropically Inflating Universes
- The Existence of Godel, Einstein and de Sitter Universes
- Exact cosmological solutions of scale-invariant gravity theories
- Global dynamics of the mixmaster model
Cited by in corpus (72)
- f(R) Theories Of Gravity
- Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
- Modified Gravity and Cosmology
- Extended Theories of Gravity
- Teleparallel Gravity: From Theory to Cosmology
- Spherically symmetric solutions in f(R)-gravity via Noether Symmetry Approach
- Cosmological Solutions of Gravity
- Dynamics of Inflation and Dark Energy from Gravity
- The Cosmology of Ricci-Tensor-Squared Gravity in the Palatini Variational Approach
- Shear dynamics in Bianchi I cosmologies with R^n-gravity
- Gauss-Bonnet Gravitational Baryogenesis
- Dynamical analysis of anisotropic scalar-field cosmologies for a wide range of potentials
- Spherically Symmetric Solutions to Fourth-Order Theories of Gravity
- Dynamics of the anisotropic Kantowsky-Sachs geometries in gravity
- Dynamical systems analysis of anisotropic cosmologies in -gravity
- Unification of a Bounce with a Viable Dark Energy Era in Gauss-Bonnet Gravity
- The Parameterised Post-Newtonian Limit of Fourth-Order Theories of Gravity
- Ghosts in pure and hybrid formalisms of gravity theories: a unified analysis
- Cosmological dynamics of exponential gravity
- Collider Signals of Gravitational Fixed Points
- Stability of the Kasner Universe in f(T) Gravity
- On The Existence Of Anisotropic Cosmological Models In Higher-Order Theories Of Gravity
- Reissner-Nordström Black Holes in Mimetic Gravity
- Some static spherically symmetric interior solutions of gravity
- Qualitative analysis of Kantowski-Sachs metric in a generic class of models
- Generalized Israel Junction Conditions for a Fourth-Order Brane World
- Stable Isotropic Cosmological Singularities in Quadratic Gravity
- Searching for dynamical black holes in various theories of gravity
- New inhomogeneous universes in scalar-tensor and f(R) gravity
- Analytic Solution of the Starobinsky Model for Inflation
- R^n gravity and the chameleon
- Exponential Inflation with Gravity
- New integrable models and analytical solutions in ~cosmology with an ideal gas
- Higher Powers in Gravitation
- Exact Friedmann Solutions in Higher-Order Gravity Theories
- Clifton's spherical solution in f(R) vacuo harbours a naked singularity
- (Compactified) black branes in four dimensional f(R)-gravity
- Effects of modified gravity on the turnaround radius in cosmology
- Implications of non-analytical f(R) gravity at Solar-System scales
- Symmetry of Brans-Dicke gravity as a novel solution-generating technique
- Gibbons-Hawking Boundary Terms and Junction Conditions for Higher-Order Brane Gravity Models
- Modified gravity with an exponential function of curvature
- Geometric Proca with Matter in Metric-Palatini Gravity
- On stability of the Kasner solution in quadratic gravity
- Averaging Generalized Scalar Field Cosmologies I: Locally Rotationally Symmetric Bianchi III and open Friedmann-Lemaître-Robertson-Walker models
- Dynamical properties of Bianchi-I spacetimes in gravity
- Dynamics and exact Bianchi I spacetimes in Einstein-aether scalar field theory
- Averaging Generalized Scalar Field Cosmologies II: Locally Rotationally Symmetric Bianchi I and flat Friedmann-Lemaître-Robertson-Walker models
- Supernova, baryon acoustic oscillations, and CMB surface distance constraints on f(G) higher order gravity models
- Late-time Cosmology of scalar field assisted gravity
- Anisotropy effects on Baryogenesis in -Theories of Gravity
- Numerical Bianchi I solutions in semi-classical gravitation
- About Starobinsky inflation
- Shear-free Anisotropic Cosmological Models in f(R) Gravity
- Nonlinear anisotropy growth in Bianchi-I spacetime in metric cosmology
- Perfect fluid solutions of Brans-Dicke and f(R)cosmology
- Reconstructing modified gravity with holographic vacuum energy density
- Multicomponent solution in modified theory of gravity in the early universe
- Bianchi solutions of quadratic gravity
- Horizons and singularity in Clifton's spherical solution of f(R) vacuum
- Modified Brans-Dicke cosmology with Minimum Length Uncertainty
- Bianchi I solutions of effective quadratic gravity
- Exact analytical vacuum solutions of -gravity model depending on two variables
- Vacuum self similar anisotropic cosmologies in gravity
- Stability investigations of de Sitter inflationary solutions in power-law extensions of the Starobinsky model
- A Viable model for modified gravity
- Solar System Tests of a New Class of Theory
- Some Classes of Gravitational Shock Waves from Higher Order Theories of Gravity
- On Exact Anisotropic Solutions of Kasner type in Higher Order Gravities
- Non-canonical scalar field in low anisotropy universe with intermediate inflation
- Scheme of integration of vacuum gravity in a travelling wave variable
- Radiation dominated era and the power of general relativity