On stability of Friedmann-Lema\^itre-Robertson-Walker solutions in doubled geometries
General Relativity and Quantum Cosmology
2022-01-12 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Quantum Algebra
Abstract
Motivated by the models of geometry with discrete spaces as additional dimensions we investigate the stability of cosmological solutions in models with two metrics of the Friedmann-Lema\^itre-Robertson-Walker type. We propose an effective gravity action that couples the two metrics in a similar manner as in the bimetric theory of gravity and analyse whether standard solutions with identical metrics are stable under small perturbations.
Keywords
Cite
@article{arxiv.2012.06401,
title = {On stability of Friedmann-Lema\^itre-Robertson-Walker solutions in doubled geometries},
author = {Arkadiusz Bochniak and Andrzej Sitarz},
journal= {arXiv preprint arXiv:2012.06401},
year = {2022}
}
Comments
20 pages