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The generalized second law of thermodynamics in Hořava-Lifshitz cosmology

2010/03/31 by Mubasher Jamil, Emmanuel N. Saridakis, Emmanuel N Saridakis +2 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #astro-ph.CO #gr-qc #hep-th

paper · pdf · doi:10.1088/1475-7516/2010/11/032

published as JCAP 1011:032,2010 · 10 pages, no figures, version published at JCAP

arxiv created 2010/11/14 · openalex publication_date 2010/11/23 · arxiv updated 2011/03/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We investigate the validity of the generalized second law of thermodynamics in a universe governed by Hořava-Lifshitz gravity. Under the equilibrium assumption, that is in the late-time cosmological regime, we calculate separately the entropy time-variation for the matter fluid and, using the modified entropy relation, that of the apparent horizon itself. We find that under detailed balance the generalized second law is generally valid for flat and closed geometry and it is conditionally valid for an open universe, while beyond detailed balance it is only conditionally valid for all curvatures. Furthermore, we also follow the effective approach showing that it can lead to misleading results. The non-complete validity of the generalized second law could either provide a suggestion for its different application, or act as an additional problematic feature of Hořava-Lifshitz gravity.

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