Spontaneously vectorized EinsteinGaussBonnet black holes
Abstract
We construct spontaneously vectorized black holes where a real vector field is coupled to the GaussBonnet invariant. We employ three coupling functions for the vector field, and determine the respective domains of existence of the vectorized black holes. These domains of existence are bounded by the marginally stable Schwarzschild black holes and the critical vectorized black holes. We also address the effects of a mass term. For a given black hole mass the horizon radius is smaller for the vectorized black holes than for the Schwarzschild black holes. Since the vector field vanishes at the horizon, there is no contribution from the GaussBonnet term to the entropy of the vectorized black holes.
 Publication:

Physics Letters B
 Pub Date:
 June 2021
 DOI:
 10.1016/j.physletb.2021.136336
 arXiv:
 arXiv:2103.01651
 Bibcode:
 2021PhLB..81736336B
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 12 pages, 8 figures