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Regular PapersNo Access

THERMODYNAMICAL PROPERTIES OF TOPOLOGICAL BORN–INFELD-DILATON BLACK HOLES

AHMAD SHEYKHI

Department of Physics, Shahid Bahonar University, P.O. Box 76175-132, Kerman, Iran

Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), Maragha, Iran

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https://doi.org/10.1142/S021827180901425XCited by:36 (Source: Crossref)

Abstract

We examine the (n + 1)-dimensional (n ≥ 3) action in which gravity is coupled to the Born–Infeld nonlinear electrodynamic and a dilaton field. We construct a new (n + 1)-dimensional analytic solution of this theory in the presence of Liouville-type dilaton potentials. These solutions, which describe charged topological dilaton black holes with nonlinear electrodynamics, have unusual asymptotics. They are neither asymptotically flat nor (anti)-de Sitter. The event horizons of these black holes can be an (n - 1)-dimensional positive, zero or negative constant curvature hypersurface. We also analyze the thermodynamics and stability of these solutions and disclose the effect of the dilaton and Born–Infeld fields on the thermal stability in the canonical ensemble.

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Vol. 18, No. 01

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Received 20 February 2008

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