A note on non singular Einstein-Aether cosmologies

Casalino, Alessandro; Sebastiani, Lorenzo; Zerbini, Sergio

doi:10.48550/arxiv.2003.08204

2020

DOI: 10.48550/arxiv.2003.08204

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A note on non singular Einstein-Aether cosmologies

Alessandro Casalino,

Lorenzo Sebastiani,

Sergio Zerbini

Abstract: An effective Lagrangian approach based on an extended Einstein-Aether (EA) model is presented and formulated in a generic non flat Fridman-Lemaitre-Robertson-Walker (FLRW) space-time. For a flat FLRW space-time, a Friedmann equation similar to the one obtained in Quantum Loop Cosmology (QLC) is reproduced, with related non singular bounce solution. Finally, the Static Spherically Symmetric (SSS) solutions are investigated.

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“…A subclass of Einstein-aether theory, precisely corresponding to the original cuscuton theory, was considered in Ref [26]. to study a non-singular bouncing background, reproducing the dynamics of Loop Quantum Cosmology.…”

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confidence: 99%

Theories with limited extrinsic curvature and a nonsingular anisotropic universe

Sakakihara,

Yoshida,

Takahashi

et al. 2020

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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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confidence: 99%

Theories with limited extrinsic curvature and a nonsingular anisotropic universe

Sakakihara,

Yoshida,

Takahashi

et al. 2020

Preprint

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A note on non singular Einstein-Aether cosmologies

Cited by 1 publication

References 47 publications

Theories with limited extrinsic curvature and a nonsingular anisotropic universe

Theories with limited extrinsic curvature and a nonsingular anisotropic universe

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