Oscillating Bianchi IX Universe in Horava-Lifshitz Gravity

Abstract

We study a vacuum Bianchi IX universe in the context of Hořava-Lifshitz (HL) gravity. In particular, we focus on the classical dynamics of the universe and analyze how anisotropy changes the history of the universe. For small anisotropy, we find an oscillating universe as well as a bounce universe just as the case of the Friedmann-Lemaitre-Robertson-Walker (FLRW) spacetime. However, if the initial anisotropy is large, we find the universe which ends up with a big crunch after oscillations if a cosmological constant $\Lambda$ is zero or negative. For $\Lambda >0$, we find a variety of histories of the universe, that is de Sitter expanding universe after oscillations in addition to the oscillating solution and the previous big crunch solution. This fate of the universe shows sensitive dependence of initial conditions, which is one of the typical properties of a chaotic system. If the initial anisotropy is near the upper bound, we find the universe starting from a big bang and ending up with a big crunch for $\Lambda \le 0$, while de Sitter expanding universe starting from a big bang for $\Lambda >0$.

18 pages, 21 figures, 5 tables

References in corpus (35)

• Quantum Gravity at a Lifshitz Point
• Horava-Lifshitz Cosmology
• Inflationary Universe with Anisotropic Hair
• Strong coupling in Horava gravity
• Solutions to Horava Gravity
• Horava-Lifshitz Cosmology: A Review
• On the Extra Mode and Inconsistency of Horava Gravity
• Chiral Primordial Gravitational Waves from a Lifshitz Point
• Phenomenologically viable Lorentz-violating quantum gravity
• Cosmology of the Lifshitz universe
• General Covariance in Quantum Gravity at a Lifshitz Point
• Horava-Lifshitz gravity: a status report
• The Black Hole and Cosmological Solutions in IR modified Horava Gravity
• A Trouble with Hořava-Lifshitz Gravity
• A dynamical inconsistency of Horava gravity
• Non-singular cosmology in a model of non-relativistic gravity
• Anisotropic Inflation from Vector Impurity
• Thermodynamics and classification of cosmological models in the Horava-Lifshitz theory of gravity
• Caustic avoidance in Horava-Lifshitz gravity
• New agegraphic dark energy in Horava-Lifshitz cosmology
• Lessons from the decoupling limit of Horava gravity
• An Alternative Approach for General Covariant Horava-Lifshitz Gravity and Matter Coupling
• Oscillating Universe in Horava-Lifshitz Gravity
• Stability of spin-0 graviton and strong coupling in Horava-Lifshitz theory of gravity
• Cosmology in nonrelativistic general covariant theory of gravity
• Cosmological perturbations in a healthy extension of Horava gravity
• A complete analysis of linear cosmological perturbations in Hořava-Lifshitz gravity
• Stability of the de Sitter spacetime in Horava-Lifshitz theory
• Breaking the scale invariance of the primordial power spectrum in Horava-Lifshitz Cosmology
• Horava-Lifshitz gravity with $\lambda \to \infty$
• Aspects of Horava-Lifshitz cosmology
• Geometric flows in Horava-Lifshitz gravity
• Non-Gaussianity from Lifshitz Scalar
• Mixmaster universe in the z=3 deformed Hořava-Lifshitz gravity
• Bouncing Cosmologies

Cited by in corpus (14)

• Polarizing primordial gravitational waves by parity violation
• General relativity limit of Horava-Lifshitz gravity with a scalar field in gradient expansion
• Quantization of (1+1)-dimensional Hořava-Lifshitz theory of gravity
• Solar system tests and interpretation of gauge field and Newtonian prepotential in general covariant Hořava-Lifshitz gravity
• Bouncing Anisotropic Universes with Varying Constants
• Stability of Singularity-free Cosmological Solutions in Hořava-Lifshitz Gravity
• Finite Action Principle and Horava-Lifshitz Gravity: early universe, black holes and wormholes
• Bouncing universe of entropy-corrected Friedmann equations
• Black Holes and Thunderbolt Singularities with Lifshitz Scaling Terms
• Stable Singularity-free Cosmological Solutions in non-projectable Horava-Lifshitz Gravity
• Hořava-Lifshitz gravity inspired Bianchi-II cosmology and the mixmaster universe
• Bianchi IX geometry and the Einstein-Maxwell theory
• Hořava-Lifshitz Bouncing Bianchi IX Universes: A Dynamical System Analysis
• Chaos in spatially homogeneous Hořava-Lifshitz subcritical cosmologies