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We construct a class of charged, rotating solutions of (n+1)-dimensionalEinstein-Maxwell-dilaton gravity with Liouville-type potentials and investigatetheir properties. These solutions are neither asymptotically flat nor (anti)-deSitter. We find that these solutions can represent black brane, with two innerand outer event horizons, an extreme black brane or a naked singularityprovided the parameters of the solutions are chosen suitably. We also computetemperature, entropy, charge, electric potential, mass and angular momentum ofthe black brane solutions, and find that these quantities satisfy the first lawof thermodynamics. We find a Smarr-type formula and perform a stabilityanalysis by computing the heat capacity in the canonical ensemble. We find thatthe system is thermally stable for alpha <1, while for alpha >1 the system hasan unstable phase. This is incommensurate with the fact that there is noHawking-Page phase transition for black objects with zero curvature horizon.Comment: 15 pages, 5 figure

physical review. d. particles, fields, gravitation, and cosmology/physical review. d, particles, fields, gravitation, and cosmology

Thermodynamics of rotating solutions in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mo stretchy="false">(</mml:mo><mml:mi>n</mml:mi><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>-dimensional Einstein-Maxwell-dilaton gravity

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