Description
We investigate general relativistic (GR) solutions in the Minimal Theory of Bigravity (MTBG). MTBG does not contain potentially problematic scalar and vector polarizations in the gravitational sectors and can be a promissing model for the origin of the cosmic acceleration of the present day. We show that a pair of Schwarzschild-de Sitter spacetimes written in the spatially-flat coordinates is a solution in the self-accelerating branch of MTBG, and derive the conditions under which a slicing of the Schwarzschild- de Sitter solution is solution of the normal branch of MTBG. We also confirm that the self-accelerating branch of MTBG admits static and spherically symmetric GR stellar solutions with regular matter profile written in the spatially-flat coordinates, including neutron stars with arbitrary equations of state. We then study the dynamical processes in the self-accelerating branch of MTBG, i.e., gravitational collapse and propagation of the odd-parity black hole perturbations.
