Magnetic solutions to 2+1 dimensional gravity with dilaton field

Abstract

We show a general method to solve 2+1 dimensional dilatonic Maxwell-Einstein equation with a positive or negative cosmological constant. All the physical solutions are listed with assumptions that they are static, rotationally symmetric, and has a nonzero magnetic field and a nonzero dilaton field. On the contrary to the magnetic solution without a dilaton field, some of the present solutions with a dilaton field possess a horizon.

10 pages, Latex format

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Cited by in corpus (18)

• No Black Hole Theorem in Three-Dimensional Gravity
• Regular black holes in three dimensions
• Born-Infeld Determinantal gravity and the taming of the conical singularity in 3-dimensional spacetime
• Three dimensional magnetic solutions in massive gravity with (non)linear field
• General analysis of self-dual solutions for the Einstein-Maxwell-Chern-Simons theory in (1+2) dimensions
• Static and rotating electrically charged black holes in three-dimensional Brans-Dicke gravity theories
• Magnetic brane solutions of Lovelock gravity with nonlinear electrodynamics
• Magnetic point sources in three dimensional Brans-Dicke gravity theories
• Entropy for Asymptotically AdS_3 Black Holes
• T-Duality and Spinning Solutions in 2 + 1 Gravity
• Spinning Charged Solutions in 2+1 Dimensional Einstein-Maxwell-Dilaton Gravity
• Electromagnetic Generalized Quasi-topological gravities in $(2+1)$ dimensions
• On regular charged black holes in three dimensions
• Rotating Dilaton Solutions in 2+1 Dimensions
• New Charged Dilaton Solutions in 2+1 Dimensions and Solutions with Cylindrical Symmetry in 3+1 Dimensions
• Thin-shell wormholes in 2+1-dimensional Einstein-Scalar Theory
• Non-Singular Stationary Global Strings
• Thermodynamics and the Joule-Thomson expansion of dilaton black holes in 2+1 dimensions