Nonlinear Resonance in Hořava-Lifshitz Bouncing Cosmologies

Abstract

In this paper I examine the phase space dynamics in the framework of Non-Projectable Hořava-Lifshitz bouncing cosmologies. By considering a closed Friedmann-Lemaître-Robertson-Walker (FLRW) geometry, the first integral contains a correction term that leads to nonsingular metastable bounces in the early evolution of the universe. The matter content of the model is a massive conformally coupled scalar field, dust and radiation. A nonvanishing cosmological constant connected to a de Sitter attractor in the phase space is also assumed. In narrow windows of the parameter space, labeled by an integer $n\ge 2$, nonlinear resonance phenomena may destroy the KAM tori that trap the scalar field, leading to an exit to the de Sitter attractor. As a consequence nonlinear resonance imposes constraints on the parameters and in the initial configurations of the models so that an accelerated expansion may be realized.

To appear in Classical and Quantum Gravity

References in corpus (9)

• Quantum Gravity at a Lifshitz Point
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Improved Dark Energy Constraints from ~100 New CfA Supernova Type Ia Light Curves
• Strong coupling in Horava gravity
• Horava-Lifshitz gravity: a status report
• Black holes in three dimensional higher spin gravity: A review
• Cosmology without inflation
• Bouncing Braneworld Cosmologies and Initial Conditions to Inflation
• Bouncing Cosmologies

Cited by in corpus (4)

• A Critical Review of Classical Bouncing Cosmologies
• Scalar Perturbations in Nonsingular Universes from Interacting Vacuum
• Curvature Late-Time Acceleration in an Eternal Universe
• Stellar Instability from Parametric Resonance