Topological Black Holes in Brans-Dicke-Maxwell Theory

Abstract

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.

12 pages, to appear in IJMPD

References in corpus (6)

• A Note on Thermodynamics of Black Holes in Lovelock Gravity
• Thermodynamics of charged topological dilaton black holes
• Topological Born-Infeld-dilaton black holes
• Thermodynamics of rotating solutions in (n+1)-dimensional Einstein-Maxwell-dilaton gravity
• Thermodynamics of charged rotating black branes in Brans-Dicke theory with quadratic scalar field potential
• Magnetic Branes in $(n+1)$-dimensional Einstein-Maxwell-dilaton gravity

Cited by in corpus (10)

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• On the Double Copy for Spinning Matter
• Cyclic and heteroclinic flows near general static spherically symmetric black holes
• Exact black hole solution for scale dependent gravitational couplings and the corresponding coupling flow
• Lifshitz black holes in Brans-Dicke theory
• Black Hole Solutions and Pressure Terms in Induced Gravity with Higgs Potential
• Scalar-field Pressure in Induced Gravity with Higgs Potential and Dark Matter
• Transport in a gravity dual with a varying gravitational coupling constant
• Dynamics of domain wall in charged AdS dilaton black hole spacetime
• Magnetic Branes in Brans-Dicke-Maxwell Theory