Thermodynamics of rotating solutions in (n+1)-dimensional Einstein-Maxwell-dilaton gravity

Abstract

We construct a class of charged, rotating solutions of (n+1)-dimensional Einstein-Maxwell-dilaton gravity with Liouville-type potentials and investigate their properties. These solutions are neither asymptotically flat nor (anti)-de Sitter. We find that these solutions can represent black brane, with two inner and outer event horizons, an extreme black brane or a naked singularity provided the parameters of the solutions are chosen suitably. We also compute temperature, entropy, charge, electric potential, mass and angular momentum of the black brane solutions, and find that these quantities satisfy the first law of thermodynamics. We find a Smarr-type formula and perform a stability analysis by computing the heat capacity in the canonical ensemble. We find that the system is thermally stable for alpha <1, while for alpha >1 the system has an unstable phase. This is incommensurate with the fact that there is no Hawking-Page phase transition for black objects with zero curvature horizon.

15 pages, 5 figures

References in corpus (3)

• Thermodynamics of Rotating Charged Black Branes in Third Order Lovelock Gravity and the Counterterm Method
• Rotating Einstein-Maxwell-Dilaton Black Holes in D Dimensions
• Thermodynamics of Rotating Solutions in Gauss-Bonnet-Maxwell Gravity and the Counterterm Method

Cited by in corpus (10)

• Thermodynamics of charged topological dilaton black holes
• Topological Born-Infeld-dilaton black holes
• Thermodynamics of Rotating Black Branes in Gauss-Bonnet-Born-Infeld Gravity
• Rotating Black Branes in Brans-Dicke-Born-Infeld Theory
• Thermodynamics of charged rotating black branes in Brans-Dicke theory with quadratic scalar field potential
• Thermodynamics of rotating black branes in $(n+1)$-dimensional Einstein-Born-Infeld gravity
• Magnetic Strings in Einstein-Born-Infeld-Dilaton Gravity
• Thermodynamical properties of topological Born-Infeld-dilaton black holes
• Magnetic Branes in $(n+1)$-dimensional Einstein-Maxwell-dilaton gravity
• Rotating Black Holes in Einstein-Maxwell-Dilaton Gravity