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arXiv · 1808.01403

Black holes and stars in the minimal theory of massive gravity

Antonio De Felice·François Larrouturou·Shinji Mukohyama·Michele Oliosi
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Abstract

In this letter, we show that any solution of general relativity (GR) that can be rendered spatially flat by a coordinate change is also a solution of the self-accelerating branch of the minimal theory of massive gravity (MTMG), with or without matter. We then for the first time obtain black hole and star solutions in a theory of massive gravity that agree with the corresponding solutions in GR and that are free from strong coupling issues. This in particular implies that the parametrized post-Newtonian parameters $β^{\rm PPN}$ and $γ^{\rm PPN}$ are unity, as in GR. We further show how these solutions can be embedded in a cosmological setting. While cosmological scales have already been considered in previous works, this is the first study of the phenomenology at shorter scales of the self-accelerating branch of MTMG.

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Antonio De Felice, François Larrouturou, Shinji Mukohyama, Michele Oliosi. 2018-08-04. Black holes and stars in the minimal theory of massive gravity. https://doi.org/10.1103/physrevd.98.104031

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