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Black holes in scalar-tensor gravity

Thomas P. Sotiriou, Valerio Faraoni

TL;DR

It is extended that black holes which are stationary as the end point of gravitational collapse in Brans-Dicke theory are no different than in general relativity to the much more general class of scalar-tensor and f(R) gravity theories, without assuming any symmetries apart from stationarity.

Abstract

Hawking has proven that black holes which are stationary as the endpoint of gravitational collapse in Brans--Dicke theory (without a potential) are no different than in general relativity. We extend this proof to the much more general class of scalar-tensor and f(R) gravity theories, without assuming any symmetries apart from stationarity.

Black holes in scalar-tensor gravity

TL;DR

It is extended that black holes which are stationary as the end point of gravitational collapse in Brans-Dicke theory are no different than in general relativity to the much more general class of scalar-tensor and f(R) gravity theories, without assuming any symmetries apart from stationarity.

Abstract

Hawking has proven that black holes which are stationary as the endpoint of gravitational collapse in Brans--Dicke theory (without a potential) are no different than in general relativity. We extend this proof to the much more general class of scalar-tensor and f(R) gravity theories, without assuming any symmetries apart from stationarity.

Paper Structure

This paper contains 12 equations.