Black-hole solutions correspondence between conformal and massive theories of gravity

Abstract

In this work, a correspondence between black-hole solutions of conformal and massive theories of gravity is found. It is seen that this correspondence imposes some constraints on parameters of these theories. What is more, a relation between the mass of black holes and the parameters of massive gravity is found. Indeed, the acceptable ranges of massive gravity parameters (c1 and c2) are found. It is shown that by considering the positive mass of black holes, some ranges of c1 and c2 are acceptable.