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  Theories with limited extrinsic curvature and a nonsingular anisotropic universe

Sakakihara, Y., Yoshida, D., Takahashi, K., & Quintin, J. (2020). Theories with limited extrinsic curvature and a nonsingular anisotropic universe. Physical Review D, 102: 084004. doi:10.1103/PhysRevD.102.084004.

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 Creators:
Sakakihara, Yuki, Author
Yoshida, Daisuke, Author
Takahashi , Kazufumi, Author
Quintin, Jerome1, Author           
Affiliations:
1Theoretical Cosmology, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_1753351              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,Astrophysics, Cosmology and Extragalactic Astrophysics, astro-ph.CO,High Energy Physics - Theory, hep-th
 Abstract: We propose a class of theories that can limit scalars constructed from the
extrinsic curvature. Applied to cosmology, this framework allows us to control
not only the Hubble parameter but also anisotropies without the problem of
Ostrogradsky ghost, which is in sharp contrast to the case of limiting
spacetime curvature scalars. Our theory can be viewed as a generalization of
mimetic and cuscuton theories (thus clarifying their relation), which are known
to possess a structure that limits only the Hubble parameter on homogeneous and
isotropic backgrounds. As an application of our framework, we construct a model
where both anisotropies and the Hubble parameter are kept finite at any stage
in the evolution of the universe in the diagonal Bianchi type I setup. The
universe starts from a constant-anisotropy phase and recovers Einstein gravity
at low energies. We also show that the cosmological solution is stable against
essentially all modes of perturbation, provided some reasonable conditions are
satisfied.

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 Dates: 2020-05-212020
 Publication Status: Published in print
 Pages: 19 pages, 2 figures
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Degree: -

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Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : American Physical Society
Pages: - Volume / Issue: 102 Sequence Number: 084004 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: https://pure.mpg.de/cone/journals/resource/111088197762258