Stability of cosmological solutions in F(R) Horava-Lifshitz gravity
arXiv:1011.2090 · doi:10.1103/PhysRevD.83.064040
Abstract
At the present paper, it is studied cosmological solutions and its stability in the frame of F(R) Horava-Lifshitz gravity. The perturbations around general spatially flat FRW solutions are analyzed and it is showed that the stability of those solutions will depend on the kind of theory, i.e. on the form of the action F(R), as well as on the parameters contained in any Horava-Lifshitz theory due to the breaking of Lorentz invariance. The (in)stability of a given cosmic solution can restrict the models and gives new observational predictions, and can give a natural explanation on the end of inflation and radiation/matter phases. An explicit example of F(R) is studied, and it is showed that the instability can produce the transition between the different epochs of the Universe history.
arXiv comment9 pages
References in corpus (39)
- Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
- Quantum Gravity at a Lifshitz Point
- Membranes at Quantum Criticality
- A healthy extension of Horava gravity
- Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
- Horava-Lifshitz Cosmology
- Cosmological reconstruction of realistic modified F(R) gravities
- Matter Bounce in Horava-Lifshitz Cosmology
- Horava-Lifshitz Cosmology: A Review
- Quantum gravity without Lorentz invariance
- Chiral Primordial Gravitational Waves from a Lifshitz Point
- Cosmology of the Lifshitz universe
- General Covariance in Quantum Gravity at a Lifshitz Point
- The Black Hole and Cosmological Solutions in IR modified Horava Gravity
- Holographic dark energy with varying gravitational constant
- Perturbative instabilities in Horava gravity
- Horava-Lifshitz Dark Energy
- Thermodynamics and classification of cosmological models in the Horava-Lifshitz theory of gravity
- Phenomenological Aspects of Horava-Lifshitz Cosmology
- Detailed balance in Horava-Lifshitz gravity
- Initial and final de Sitter universes from modified gravity
- Covariant renormalizable gravity and its FRW cosmology
- Unifying inflation with dark energy in modified F(R) Horava-Lifshitz gravity
- Modified F(R) Horava-Lifshitz gravity: a way to accelerating FRW cosmology
- F(R) cosmology in presence of a phantom fluid and its scalar-tensor counterpart:towards a unified precision model of the universe evolution
- A Test of Horava Gravity: The Dark Energy
- Modified first-order Horava-Lifshitz gravity: Hamiltonian analysis of the general theory and accelerating FRW cosmology in power-law F(R) model
- Stability of the Einstein static universe in IR modified Hořava gravity
- An analysis of the phase space of Horava-Lifshitz cosmologies
- Classification of cosmology with arbitrary matter in the Hořava-Lifshitz theory
- Fluctuations in a Hořava-Lifshitz Bouncing Cosmology
- Mixmaster universe in Horava-Lifshitz gravity
- New Models of f(R) Theories of Gravity
- Modified gravity in Arnowitt-Deser-Misner formalism
- A proposal for covariant renormalizable field theory of gravity
- Hamiltonian analysis of non-projectable modified F(R) Hořava-Lifshitz gravity
- theory and geometric origin of the dark sector in Horava-Lifshitz gravity
- Chaotic universe in the z=2 Hovava-Lifshitz gravity
- Smooth cosmological phase transition in the Horava-Lifshitz gravity
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- Some cosmological aspects of Horava-Lifshitz gravity: integrable and nonintegrable models
- On Friedmann-Lema\^ıtre-Robertson-Walker cosmologies in non-standard gravity
- Loop-corrected scalar potentials and late-time acceleration in f(R) gravity