Topological black holes in Brans-Dicke-Maxwell theory. (English) Zbl 1181.83169
Summary: We derive a new analytic solution of \((n + 1)\)-dimensional \((n \geq 4)\) Brans-Dicke-Maxwell theory in the presence of a potential for the scalar field, by applying a conformal transformation to the dilaton gravity theory. Such solutions describe topological charged black holes with unusual asymptotics. We obtain the conserved and thermodynamic quantities through the use of the Euclidean action method. We also study the thermodynamics of the solutions and verify that the conserved and thermodynamic quantities of the solutions satisfy the first law of black hole thermodynamics.
MSC:
83D05 | Relativistic gravitational theories other than Einstein’s, including asymmetric field theories |
83E15 | Kaluza-Klein and other higher-dimensional theories |
83C57 | Black holes |
83C15 | Exact solutions to problems in general relativity and gravitational theory |
83C22 | Einstein-Maxwell equations |
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