Topological Black Holes in Brans-Dicke-Maxwell Theory

Understand

We derive a new analytic solution of $(n+1)$-dimensional Brans-Dikce-Maxwell theory in the presence of a potential for the scalar field, by applying a conformal transformation to the dilaton gravity theory.

• These 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.