On stability of Friedmann-Lemaître-Robertson-Walker solutions in doubled geometries

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-Lemaître-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.

20 pages

References in corpus (3)

• Bimetric gravity is cosmologically viable
• Spectral Noncommutative Geometry, Standard Model and all that
• Rationality of Spectral Action for Robertson-Walker Metrics

Cited by in corpus (4)

• Spectral interaction between universes
• Towards modified bimetric theories within non-product spectral geometry
• Spectral interactions between strings in the Higgs background
• A bigravity model from noncommutative geometry