Asymptotically Free Mimetic Gravity
High Energy Physics - Theory
2020-08-05 v1 General Relativity and Quantum Cosmology
Abstract
The idea of "asymptotically free" gravity is implemented using a constrained mimetic scalar field. The effective gravitational constant is assumed to vanish at some limiting curvature. As a result singularities in contracting spatially flat Friedmann and Kasner universes are avoided. The solutions in both cases approach de Sitter metric with a limiting curvature.We show that quantum metric fluctuations vanish when this limiting curvature is approached.
Keywords
Cite
@article{arxiv.1905.01343,
title = {Asymptotically Free Mimetic Gravity},
author = {Ali H. Chamseddine and Viatcheslav Mukhanov and Tobias Russ},
journal= {arXiv preprint arXiv:1905.01343},
year = {2020}
}
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14 pages