Stability of Singularity-free Cosmological Solutions in Hořava-Lifshitz Gravity
arXiv:1612.09077 · doi:10.1103/PhysRevD.95.044044
Abstract
We study stability of singularity-free cosmological solutions with positive cosmological constant based on projectable Hořava-Lifshitz (HL) theory. In HL theory, the isotropic and homogeneous cosmological solutions with bounce can be realized if spacial curvature is non-zero. By performing perturbation analysis around non-flat Friedmann-Lemaitre-Robertson-Walker (FLRW) spacetime, we derive a quadratic action and discuss the stability, i.e, ghost and tachyon-free conditions. Although the squared effective mass of scalar perturbation must be negative in infrared regime, we can avoid tachyon instability by considering strong Hubble friction. Additionally, we estimate the backreaction from the perturbations on background geometry, especially, against anisotropic perturbation in closed FLRW spacetime. It turns out that certain types of bouncing solution may be spoiled even if all perturbation modes are stable.
arXiv comment22 pages, 8 figures ; v3 : some results modified
References in corpus (41)
- Quantum Gravity at a Lifshitz Point
- Generalized G-inflation: Inflation with the most general second-order field equations
- Towards singularity and ghost free theories of gravity
- A healthy extension of Horava gravity
- Inflationary spacetimes are not past-complete
- Horava-Lifshitz Cosmology
- Strong coupling in Horava gravity
- Lorentz-Violating Vector Fields Slow the Universe Down
- Matter Bounce in Horava-Lifshitz Cosmology
- Horava-Lifshitz Cosmology: A Review
- Quantum gravity without Lorentz invariance
- On the Extra Mode and Inconsistency of Horava Gravity
- Phenomenologically viable Lorentz-violating quantum gravity
- Black holes in Einstein-aether and Horava-Lifshitz gravity
- Dark matter as integration constant in Horava-Lifshitz gravity
- Post-Newtonian parameters and constraints on Einstein-aether theory
- Stable bounce and inflation in non-local higher derivative cosmology
- Generic instabilities of non-singular cosmologies in Horndeski theory: a no-go theorem
- Classically stable non-singular cosmological bounces
- Cosmological perturbations in Horava-Lifshitz theory without detailed balance
- The Effective Field Theory of nonsingular cosmology
- A Trouble with Hořava-Lifshitz Gravity
- Horava gravity vs. thermodynamics: the black hole case
- Renormalization of Horava Gravity
- Perturbative instabilities in Horava gravity
- Mechanics of universal horizons
- Thermodynamics and classification of cosmological models in the Horava-Lifshitz theory of gravity
- Dynamical Scalar Degree of Freedom in Horava-Lifshitz Gravity
- Discrete Lorentzian Quantum Gravity
- Fluctuations in a Hořava-Lifshitz Bouncing Cosmology
- Oscillating Universe in Horava-Lifshitz Gravity
- Stability of spin-0 graviton and strong coupling in Horava-Lifshitz theory of gravity
- Large scale evolution of the curvature perturbation in Horava-Lifshitz cosmology
- Cosmological perturbations in a healthy extension of Horava gravity
- Stability of the de Sitter spacetime in Horava-Lifshitz theory
- Breaking the scale invariance of the primordial power spectrum in Horava-Lifshitz Cosmology
- Oscillating Bianchi IX Universe in Horava-Lifshitz Gravity
- Non-Gaussianity from Lifshitz Scalar
- Black Holes and Thunderbolt Singularities with Lifshitz Scaling Terms
- Classification of the FRW universe with a cosmological constant and a perfect fluid of the equation of state
- Scale Invariance from Modified Dispersion Relations
Cited by in corpus (8)
- Testing General Relativity in Cosmology
- The Effective Field Theory of nonsingular cosmology: II
- Higher order derivative coupling to gravity and its cosmological implications
- Primordial perturbations with pre-inflationary bounce
- Implication of GW170817 for cosmological bounces
- Quantum cosmology of a Hořava-Lifshitz model coupled to radiation
- Stable Singularity-free Cosmological Solutions in non-projectable Horava-Lifshitz Gravity
- Observational Constraints on the Parameters of Hořava-Lifshitz Gravity