Hořava-Lifshitz quantum cosmology

Orfeu Bertolami and Carlos A. D. Zarro
Phys. Rev. D 84, 044042 – Published 18 August 2011

Abstract

In this work, a minisuperspace model for the projectable Hořava-Lifshitz gravity without the detailed-balance condition is investigated. The Wheeler-DeWitt equation is derived and its solutions are studied and discussed for some particular cases where, due to Hořava-Lifshitz gravity, there is a “potential barrier” nearby a=0. For a vanishing cosmological constant, a normalizable wave function of the Universe is found. When the cosmological constant is nonvanishing, the WKB method is used to obtain solutions for the wave function of the Universe. Using the Hamilton-Jacobi equation, one discusses how the transition from quantum to classical regime occurs and, for the case of a positive cosmological constant, the scale factor is shown to grow exponentially, hence recovering the general relativity behavior for the late Universe.

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  • Received 3 June 2011

DOI:https://doi.org/10.1103/PhysRevD.84.044042

© 2011 American Physical Society

Authors & Affiliations

Orfeu Bertolami*

  • Departamento de Física e Astronomia, Faculdade de Ciências da Universidade do Porto, Rua do Campo Alegre 687, 4169-007 Porto, Portugal

Carlos A. D. Zarro

  • Centro de Física do Porto, Departamento de Física e Astronomia, Faculdade de Ciências da Universidade do Porto, Rua do Campo Alegre 687, 4169-007 Porto, Portugal

  • *Also at Instituto de Plasmas e Fusão Nuclear, Instituto Superior Técnico, Av. Rovisco Pais 1, 1049-001 Lisbon, Portugal. orfeu.bertolami@fc.up.pt
  • carlos.zarro@fc.up.pt

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Issue

Vol. 84, Iss. 4 — 15 August 2011

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