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Nonlinear stability of cosmological solutions in massive gravity

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arxiv 1303.4154 v2 pith:WZZV27KD submitted 2013-03-18 hep-th astro-ph.COgr-qc

Antonio De Felice , A. Emir Gumrukcuoglu , Chunshan Lin , Shinji Mukohyama This is my paper · ORCID
classification hep-thastro-ph.COgr-qc
keywords solutionsnonlinearflrwaroundcosmologicalstabilityanalyzeanisotropic
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We investigate nonlinear stability of two classes of cosmological solutions in massive gravity: isotropic Friedmann-Lemaitre-Robertson-Walker (FLRW) solutions and anisotropic FLRW solutions. For this purpose we construct the linear cosmological perturbation theory around axisymmetric Bianchi type--I backgrounds. We then expand the background around the two classes of solutions, which are fixed points of the background evolution equation, and analyze linear perturbations on top of it. This provides a consistent truncation of nonlinear perturbations around these fixed point solutions and allows us to analyze nonlinear stability in a simple way. In particular, it is shown that isotropic FLRW solutions exhibit nonlinear ghost instability. On the other hand, anisotropic FLRW solutions are shown to be ghost-free for a range of parameters and initial conditions.

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  1. Do Pulsar Timing Datasets Favor Massive Gravity?

    astro-ph.CO 2025-07 reject novelty 5.0 of 10

    A one-parameter massive-gravity correlation curve gives lower chi-square than the Hellings-Downs curve for current pulsar-timing data, but the parameter is fitted to the data, so the result is not a prediction.

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