Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-10-22
Phys.Rev.D83:084042,2011
Physics
High Energy Physics
High Energy Physics - Theory
22 pages, 4 Figures. Final version to be published in PRD. Typos corrected, comments added
Scientific paper
10.1103/PhysRevD.83.084042
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^\gamma. 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.
Comelli Denis
Nesti Fabrizio
Pilo Luigi
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