On the absence of scalar hair for charged rotating blackholes in non minimally coupled theories

TL;DR

This paper investigates whether charged rotating black holes can have scalar hair in various scalar-tensor theories, testing the no scalar hair theorem's applicability in these contexts.

Contribution

It examines the validity of the no scalar hair theorem for charged axisymmetric stationary black holes across a broad class of scalar-tensor theories.

Findings

No scalar hair found for charged rotating black holes in studied theories

Supports the universality of the no scalar hair theorem in these contexts

Provides theoretical evidence against scalar hair existence in such black holes

Abstract

In this work we check the validity of the no scalar hair theorem in charged axisymmetric stationary black holes for a wide class of scalar tensor theories.