"Are Black Holes in Brans-Dicke Theory precisely the same as in General Relativity?"

TL;DR

This paper investigates a three-parameter family of static, spherically symmetric solutions in Brans-Dicke theory, identifying conditions for black holes that differ from Schwarzschild and aligning with solar system tests, with implications for black hole uniqueness.

Contribution

It introduces a new class of solutions in Brans-Dicke theory, explores their properties, and discusses their astrophysical relevance and impact on no-hair theorems.

Findings

Identified parameter ranges for black holes different from Schwarzschild.

Found solutions consistent with solar system experiments.

Discussed astrophysical implications and modifications to no-hair theorems.

Abstract

We study a three-parameters family of solutions of the Brans-Dicke field equations. They are static and spherically symmetric. We find the range of parameters for which this solution represents a black hole different from the Schwarzschild one. We find a subfamily of solutions which agrees with experiments and observations in the solar system. We discuss some astrophysical applications and the consequences on the "no hair" theorems for black holes.