Stationary Einstein-vector-Gauss-Bonnet black holes

TL;DR

This paper investigates novel stationary black holes in Einstein-vector-Gauss-Bonnet theory, revealing static and rotating solutions with electric and magnetic properties, and analyzing their physical characteristics and domain of existence.

Contribution

It introduces new stationary black hole solutions with vector fields in Einstein-Gauss-Bonnet theory, including static and rotating cases with magnetic dipole moments.

Findings

Magnetic black holes are prolate and hotter than Schwarzschild black holes.

Existence domain is bounded by Kerr, static, and critical solutions.

Both charged and uncharged black holes exhibit radial excitations.

Abstract

We study spontaneously vectorized black holes in Einstein-vector-Gauss-Bonnet theory with a quadratic coupling function. Besides the static, spherically symmetric black holes carrying an electric charge, there are uncharged static, axially symmetric black holes that possess a magnetic dipole moment. Both types possess radial excitations. The magnetic black holes are prolate. They are hotter than the Schwarzschild black holes and possess lower free energy. The domain of existence of the rotating vectorized black holes is bounded by the Kerr black holes, the spherically and axially symmetric static black holes, and the critical solutions.