No inner-horizon theorem for black holes with charged scalar hairs

No Scalar Hair Theorem for a Charged Spherical Black Hole

This paper consolidates the no scalar hair theorem for a charged spherically symmetric black hole in four dimensions in general relativity as well as in all scalar tensor theories, both minimally and nonminimally coupled, when the effective Newtonian constant of gravity is positive. However, there is an exception when the matter field itself is coupled to the scalar field, such as in dilaton gr...

New no-scalar-hair theorem for black-holes

A new no-hair theorem is formulated which rules out a very large class of non-minimally coupled finite scalar dressing of an asymptotically flat, static, and spherically symmetric black-hole. The proof is very simple and based in a covariant method for generating solutions for non-minimally coupled scalar fields starting from the minimally coupled case. Such method generalizes the Bekenstein me...

Charged black holes with scalar hair.

No hair for spherical black holes: Charged and nonminimally coupled scalar field with self-interaction.

Avraham E. Mayo and Jacob D. Bekenstein The Racah Institute of Physics, Hebrew University of Jerusalem, Givat Ram, Jerusalem 91904, Israel (March 1, 1996) We prove three theorems in general relativity which rule out scalar hair of static, spherically symmetric, possibly electrically charged black holes. We rst generalize Bekenstein's no{hair theorem for a multiplet of minimally coupled real sca...

New Charged Black Holes with Conformal Scalar Hair

A general class of four dimensional, stationary solutions of the Einstein-Maxwell system with a conformally coupled scalar field is constructed in this paper. The stationary case is presented and shown to belong to the Plebanski-Demianski family which implies that the static metric has the form of the C-metric. It is shown that in the static, AdS case, a new family of Black Holes arises. They t...