Quantum Singularities in Horava-Lifshitz Cosmology

Abstract

The recently proposed Horava-Lifshitz (HL) theory of gravity is analyzed from the quantum cosmology point of view. By employing usual quantum cosmology techniques, we study the quantum Friedmann-Lemaitre-Robertson-Walker (FLRW) universe filled with radiation in the context of HL gravity. We find that this universe is quantum mechanically nonsingular in two different ways: the expectation value of the scale factor $<a>(t)$ never vanishes and, if we abandon the detailed balance condition suggested by Horava, the quantum dynamics of the universe is uniquely determined by the initial wave packet and no boundary condition at $a=0$ is indeed necessary.

13 pages, revtex, 1 figure. Final version to appear in PRD

References in corpus (7)

• Quantum Gravity at a Lifshitz Point
• Horava-Lifshitz Cosmology
• Models of non-relativistic quantum gravity: the good, the bad and the healthy
• Cosmology of the Lifshitz universe
• Thermodynamics and classification of cosmological models in the Horava-Lifshitz theory of gravity
• Unifying inflation with dark energy in modified F(R) Horava-Lifshitz gravity
• Quantum Singularities in Static Spacetimes