Charged black holes in a six-dimensional vector-tensor theory

TL;DR

This paper explores six-dimensional vector-tensor gravity, analyzing static black hole solutions with magnetic charge, and calculates their Hawking temperature, providing insights into higher-dimensional black hole physics.

Contribution

It introduces new solutions for charged black holes in a six-dimensional vector-tensor theory with compactified extra dimensions.

Findings

Derived static spherically symmetric solutions.

Analyzed the case of small magnetic charge.

Calculated Hawking temperature for specific solutions.

Abstract

We study a six-dimensional vector-tensor gravitation theory compactified to M_4 x S^2. Here, static spherically-symmetric solutions to the field equations of the theory are investigated. We examine the case that the magnetic charge of the "black hole" is small compared with that located in the "center" of the extra sphere. The Hawking temperature of the black hole is calculated in a simple case.