Black holes in the Brans-Dicke-Maxwell theory
Rong-Gen Cai (ASITP, Beijing), Y. S. Myung (Inje U.)
TL;DR
This paper explores higher-dimensional black hole solutions within the Brans-Dicke-Maxwell theory, revealing how scalar fields influence black hole properties across different spacetime dimensions.
Contribution
It provides new charged black hole solutions with nontrivial scalar fields in higher dimensions and compares them to solutions in standard Brans-Dicke theory.
Findings
In D=4, solutions reduce to Reissner-Nordström black holes with constant scalar fields.
In D>4, charged black holes with nontrivial scalar fields are found.
Thermal properties of these black holes are analyzed.
Abstract
The black hole solutions in the higher dimensional Brans-Dicke-Maxwell theory are investigated. We find that the presence of the nontrivial scalar field depends on the spacetime dimensions (D). When D=4, the solution corresponds to the Reissner-Nordstr\"{o}m black hole with a constant scalar field. In higher dimensions (D>4), one finds the charged black hole solutions with the nontrivial scalar field. The thermal properties of the charged black holes are discussed and the reason why the nontrivial scalar field exists are explained. Also the solutions for higher dimensional Brans-Dicke theory are given for comparison.
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