Stars and (Furry) Black Holes in Lorentz Breaking Massive Gravity

Abstract

We study the exact spherically symmetric solutions in a class of Lorentz-breaking massive gravity theories, using the effective-theory approach where the graviton mass is generated by the interaction with a suitable set of Stuckelberg fields. We find explicitly the exact black hole solutions which generalizes the familiar Schwarzschild one, which shows a non-analytic hair in the form of a power-like term r^γ. For realistic self-gravitating bodies, we find interesting features, linked to the effective violation of the Gauss law: i) the total gravitational mass appearing in the standard 1/r term gets a multiplicative renormalization proportional to the area of the body itself; ii) the magnitude of the power-like hairy correction is also linked to size of the body. The novel features can be ascribed to presence of the goldstones fluid turned on by matter inside the body; its equation of state approaching that of dark energy near the center. The goldstones fluid also changes the matter equilibrium pressure, leading to an upper limit for the graviton mass, m <~ 10^-28 - 10^29 eV, derived from the largest stable gravitational bound states in the Universe.

22 pages, 4 Figures. Final version to be published in PRD. Typos corrected, comments added

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• The universe seen at different scales
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Cited by in corpus (10)

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• Hairy Black Holes in Massive Gravity: Thermodynamics and Phase Structure
• Phase transitions of hairy black holes in massive gravity and thermodynamic behavior of charged AdS black holes in an extended phase space
• Black holes in massive gravity: Quasi-normal modes of scalar perturbations
• Black Hole Thermodynamics and Massive Gravity
• Interplay between the Lyapunov exponents and phase transitions of charged AdS black holes
• External stability for Spherically Symmetric Solutions in Lorentz Breaking Massive Gravity
• Completing Lorentz violating massive gravity at high energies
• Traversable wormholes in bi-metric gravity
• Van der Waals-like phase transition from holographic entanglement entropy in Lorentz breaking massive gravity