Thermodynamics of charged rotating dilaton black branes with power-law Maxwell field

Abstract

In this paper, we construct a new class of charged rotating dilaton black brane solutions, with complete set of rotation parameters, which is coupled to a nonlinear Maxwell field. The Lagrangian of the matter field has the form of the power-law Maxwell field. We study the causal structure of the spacetime and its physical properties in ample details. We also compute thermodynamic and conserved quantities of the spacetime such as the temperature, entropy, mass, charge, and angular momentum. We find a Smarr-formula for the mass and verify the validity of the first law of thermodynamics on the black brane horizon. Finally, we investigate the thermal stability of solutions in both canonical and grand-canonical ensembles and disclose the effects of dilaton field and nonlinearity of Maxwell field on the thermal stability of the solutions. We find that for $\alpha \le 1$, charged rotating black brane solutions are thermally stable independent of the values of the other parameters. For $\alpha >1$, the solutions can encounter an unstable phase depending on the metric parameters.

15 pages, 14 figures. We have revised the text to remove the overlaps

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• Black hole solutions in Gauss-Bonnet-massive gravity in the presence of power-Maxwell field
• Holographic conductivity in the massive gravity with power-law Maxwell field
• Alternative approach to the critical behavior and microscopic structure of the power-Maxwell black holes
• An alternative perspective to observe the critical phenomena of dilaton AdS black holes
• Thermodynamics of charged rotating dilaton black branes coupled to logarithmic nonlinear electrodynamics
• The Phase Transition of Non-minimal Yang-Mills AdS Black Brane
• On double-black hole solutions of the Einstein-Maxwell-Dilaton theory in five dimensions