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26 February, 2017

posted 26 Feb 2017, 11:34 by Scott Melville   [ updated 26 Feb 2017, 11:35 ]
Non-Singular Black Holes in Massive Gravity: Time-Dependent Solutions
(19 pages)

It is known that static, spherically symmetric black hole solutions in dRGT massive gravity generically have either no Yukawa suppression at large distances (i.e. they coincide with exact Schwarzschild solutions), or have singularities at the horizon which are coordinate invariant. Here, it is shown that by relaxing the static assumption, one can find time-dependent black holes solutions which look like Schwarzschild in the zero mass limit (i.e. with only apparent singularities at the horizon), but exhibit Yukawa suppression at finite mass. Furthermore, there are such solutions in which the horizon is not time-dependent, so it is not necessary for such a black hole to be accreting or evaporating.


Finding and understanding novel black hole solutions in any modified gravity theory is useful because black holes provide a system in which one might accurately test for differences between these theories and GR. The classical solutions found here are only valid within the Vainshtein radius, because they rely on a small graviton mass limit - although one might expect that a matching to some asymptotic spacetime at large r is possible.