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On stability of Friedmann-Lema\^itre-Robertson-Walker solutions in doubled geometries

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arxiv 2012.06401 v2 pith:6GDEZD26 submitted 2020-12-11 gr-qc hep-thmath-phmath.MPmath.QA

classification gr-qchep-thmath-phmath.MPmath.QA
keywords metricssolutionsfriedmann-lemagravityitre-robertson-walkermodelsstabilityaction
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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.

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