2010/06/23 by Kei-ichi Maeda, Yosuke Misonoh, Tsutomu Kobayashi · 52 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmological constant #Cosmology and Gravitation Theories #Curvature #De Sitter universe #Geometry #Lambda #Mathematical physics #Physics #Quantum mechanics #Relativity and Gravitational Theory #Spacetime #Theoretical physics #Universe #astro-ph.CO #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.82.064024
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 82(6) (American Physical Society) · 13 pages, 10 figures, 1 table
arxiv created 2010/06/23 · openalex publication_date 2010/09/16 · arxiv updated 2010/11/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the dynamics of isotropic and homogeneous universes in the generalized Ho\ifmmode \checkr\else \vr\fiava-Lifshitz gravity, and classify all possible evolutions of vacuum spacetime. In the case without the detailed balance condition, we find a variety of phase structures of vacuum spacetimes depending on the coupling constants as well as the spatial curvature K and a cosmological constant \ensuremathΛ. A bounce universe solution is obtained for \ensuremathΛ>0, K=\ifmmode±\else\textpm\fi1 or \ensuremathΛ=0, K=\ensuremath-1, while an oscillation spacetime is found for \ensuremathΛ\ensuremath≥0, K=1, or \ensuremathΛ<0, K=\ifmmode±\else\textpm\fi1. We also propose a quantum tunneling scenario from an oscillating spacetime to an inflationary universe, resulting in a macroscopic cyclic universe.