Generalized Vaidya solutions in bimetric gravity

Abstract

In general relativity, the endpoint of spherically symmetric gravitational collapse is a Schwarzschild--[(A)dS] black hole. In bimetric gravity, it has been speculated that a static end state must also be Schwarzschild--[(A)dS]. To this end, we present a set of exact solutions, including collapsing massless dust particles. For these, the speculation is confirmed.

15 pages, 2 figures. Updates in v2: changed title of the paper, added appendix on the Fierz-Pauli mass, removed all occurences of "bare cosmological constant" in the text and changed the comparison between bimetric gravity and GR accordingly, updated references, corrected typo in eq. (2.6b)