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

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Cited by in corpus (21)

• Gödel-type universes and chronology protection in Horava-Lifshitz gravity
• Classical and quantum Hořava-Lifshitz cosmology in a minisuperspace perspective
• A phase space description of the FLRW quantum cosmology in Ho$\check{\mathrm{r}}$ava-Lifshitz type gravity
• Hořava-Lifshitz scalar field cosmology: classical and quantum viewpoints
• Chaplygin Gas Hořava-Lifshitz Quantum Cosmology
• Quantum singularities in spherically symmetric, conformally static spacetimes
• Quantum cosmology of a Hořava-Lifshitz model coupled to radiation
• Quantum probes of timelike naked singularities in $2+1-$ dimensional power - law spacetimes
• Quantum Cosmology in $(1+1)$-dimensional Hořava-Lifshitz theory of gravity
• Generalized Uncertainty Principle effects in the Hořava-Lifshitz quantum theory of gravity
• Quantum Hořava-Lifshitz cosmology in the de Broglie-Bohm interpretation
• Quantum Probe of Hořava-Lifshitz Gravity
• Bose-Einstein condensation in Hořava-Lifshitz theory
• Resolution of cosmological singularity in Hořava-Lifshitz cosmology
• Cosmology in $(1+1)$-dimensional Hořava-Lifshitz theory of gravity
• Euclidean Wormholes in Horava-Lifshitz Gravity
• Cosmological QCD phase transition in steady non-equilibrium dissipative Hořava-Lifshitz early universe
• Lorentzian Vacuum Transitions in Hořava-Lifshitz Gravity
• On the energy flow of $\lambda$ in Hořava-Lifshitz cosmology
• Directional Quantum Singularities in Curzon Spacetime
• Quantum Cosmology in $f(R,T)$ Theory with Schutz's Perfect Fluid