Exact cosmological black hole solutions in scalar tensor vector gravity

PÉREZ, D; ROMERO, G E

CLASSICAL AND QUANTUM GRAVITY

IOP PUBLISHING LTD

Año: 2019 vol. 36

0264-9381

We find an exact solution of Scalar-Tensor-Vector Gravity field equations thatrepresents a black hole embedded in an expanding universe. This is the first solution ofthe kind found in the theory. We analyze the properties of the apparent horizons as wellas the essential singularities of the metric, and compare it with the McVittie spacetime ofGeneral Relativity. Depending on the cosmological model adopted and the value of the freeparameter α of the theory, the solution describes a cosmological black hole, an inhomogeneityin an expanding universe, or a naked singularity. We use the latter result to set furtherconstraints on the free parameters of the theory.