On the black holes in alternative theories of gravity: The case of non-linear massive gravity

Abstract

It is already known that a positive Cosmological ConstantΛsets the scale(formula presented) which depending on themass of the source, can be of astrophysical order of magnitude. This scale was interpreted before as the maximum distance in order to get bound orbits. The same scale corresponds to the static observer position if wewant to define the Black Hole temperature in an asymptotically de-Sitter space. r0 also appears inside the non-linear theory ofmassive gravity (dRGT) as theVainshtein radius for the Λ3 version of the theory. I compare the role that this scale plays inside these different scenarios.