Black holes in three-dimensional Einstein-Born-Infeld-dilaton theory

Abstract

The three-dimensional static and circularly symmetric solution of the Einstein-Born-Infeld-dilaton system is derived. The solutions corresponding to low energy string theory are investigated in detail, which include black hole solutions if the cosmological constant is negative and the mass parameter exceeds a certain critical value. Some differences between the Born-Infeld nonlinear electrodynamics and the Maxwell electrodynamics are revealed.

10 pages LaTeX, 2 eps figures, accepted for publication in PRD

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• Higher dimensional dilaton black holes in the presence of exponential nonlinear electrodynamics
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