Stars and Black Holes in Massive Gravity

TL;DR

This paper investigates specific massive gravity theories where stellar and black hole solutions are unique and observationally consistent, revealing peculiar black hole structures and conditions for non-singular horizons.

Contribution

It identifies a special class of massive gravity theories with unique stellar solutions and explores black hole solutions, including non-singular horizon cases.

Findings

Unique stellar gravitational fields in certain massive gravity theories

Black holes with near-horizon throats and diverging curvature

Existence of non-singular horizon black holes in a sub-family

Abstract

Generically, massive gravity gives a non-unique gravitational field around a star. For a special family of massive gravity theories, we show that the stellar gravitational field is unique and observationally acceptable, that is close to Einsteinian. The black hole solutions in this family of theories are also studied and shown to be peculiar. Black holes have a near-horizon throat and the curvature diverging at the horizon. We show that there exists a sub-family of these massive gravity theories with non-singular at horizon black holes.