Aspects of Horava-Lifshitz cosmology

Abstract

We review some general aspects of Horava-Lifshitz cosmology. Formulating it in its basic version, we extract the cosmological equations and we use observational data in order to constrain the parameters of the theory. Through a phase-space analysis we extract the late-time stable solutions, and we show that eternal expansion, and bouncing and cyclic behavior can arise naturally. Concerning the effective dark energy sector we show that it can describe the phantom phase without the use of a phantom field. However, performing a detailed perturbation analysis, we see that Horava-Lifshitz gravity in its basic version suffers from instabilities. Therefore, suitable generalizations are required in order for this novel theory to be a candidate for the description of nature.

10 pages, 4 figures, invited talk given at the 2nd International Workshop on Dark Matter, Dark Energy and Matter-Antimatter Assymetry, National Tsing Hua University, Hsinchu, Taiwan, November 5-6, 2010

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• Modified F(R) Horava-Lifshitz gravity: a way to accelerating FRW cosmology
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• A phase space description of the FLRW quantum cosmology in Ho$\check{\mathrm{r}}$ava-Lifshitz type gravity
• Extended analysis for the Evolution of the Cosmological history in Einstein-aether Scalar Field theory
• Cosmological solutions in Hořava-Lifshitz gravity
• On Hořava-Lifshitz Cosmology
• Gauss-Bonnet dark energy on Hořava-Lifshitz cosmology
• Considerations on the Graviton Excitation Modes of Horava-Lifshitz Gravity
• Spherically symmetric solutions, Newton's Law and IR limit λ->1, in Covariant Horava Lifshitz Gravity
• Hubble tension problem encompassed by phase-space quantum cosmology