Cosmological matching conditions and galilean genesis in Horndeski's theory

Sakine Nishi, Tsutomu Kobayashi, Norihiro Tanahashi, Masahide Yamaguchi

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

We derive the cosmological matching conditions for the homogeneous and isotropic background and for linear perturbations in Horndeski's most general second-order scalar-tensor theory. In general relativity, the matching is done in such a way that the extrinsic curvature is continuous across the transition hypersurface. This procedure is generalized so as to incorporate the mixing of scalar and gravity kinetic terms in the field equations of Horndeski's theory. Our matching conditions have a wide range of applications including the galilean genesis and the bounce scenarios, in which stable, null energy condition violating solutions play a central role. We demonstrate how our matching conditions are used in the galilean genesis scenario. In doing so, we extend the previous genesis models and provide a unified description of the theory admitting the solution that starts expanding from the Minkowski spacetime.

Original languageEnglish
Article number008
JournalJournal of Cosmology and Astroparticle Physics
Volume2014
Issue number3
DOIs
Publication statusPublished - Mar 2014

All Science Journal Classification (ASJC) codes

  • Astronomy and Astrophysics

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