The stability of modified gravity models
Valerio Faraoni, Shahn Nadeau (Bishop's University)
TL;DR
This paper derives conditions for the existence and stability of de Sitter solutions in modified gravity models, showing that stability criteria align with homogeneous perturbations and applying these to various cosmological models.
Contribution
It provides a gauge-invariant framework for analyzing stability of de Sitter space in modified gravity, highlighting differences from scalar-tensor theories.
Findings
Stability condition matches homogeneous perturbation criteria in modified gravity.
Applied stability criteria to early and present universe models.
Identified differences in stability conditions compared to scalar-tensor gravity.
Abstract
Conditions for the existence and stability of de Sitter space in modified gravity are derived by considering inhomogeneous perturbations in a gauge-invariant formalism. The stability condition coincides with the corresponding condition for stability with respect to homogeneous perturbations, while this is not the case in scalar-tensor gravity. The stability criterion is applied to various modified gravity models of the early and the present universe.
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