Electric field in 3D gravity with torsion

Abstract

It is shown that in static and spherically symmetric configurations of the system of Maxwell field coupled to 3D gravity with torsion, at least one of the Maxwell field components has to vanish. Restricting our attention to the electric sector of the theory, we find an interesting exact solution, corresponding to the azimuthal electric field. Its geometric structure is to a large extent influenced by the values of two different central charges, associated to the asymptotic AdS structure of spacetime.

LATEX, 15 pages, v2: minor corrections

References in corpus (26)

• The Black Hole in Three Dimensional Space Time
• Geometry of the 2+1 Black Hole
• Charged Rotating Black Hole in Three Spacetime Dimensions
• Conformal Field Theory, (2+1)-Dimensional Gravity, and the BTZ Black Hole
• Spinning charged BTZ black holes and self-dual particle-like solutions
• Magnetic Solutions to 2+1 Gravity
• Exact vacuum solution of a (1+2)-dimensional Poincare gauge theory: BTZ solution with torsion
• The electrically charged BTZ black hole with self(anti-self) dual Maxwell field
• Static Einstein-Maxwell Solutions in 2+1 dimensions
• Three-dimensional supergravity reloaded
• Chern-Simons formulation of three-dimensional gravity with torsion and nonmetricity
• 3D gravity with torsion as a Chern-Simons gauge theory
• Comment on the Calculation of the Angular Momentum and Mass for the (Anti-) Self Dual Charged Spinning $BTZ$ Black Hole
• Azimuthal electric field in a static rotationally symmetric (2+1)-dimensional spacetime
• Black hole entropy in 3D gravity with torsion
• New solutions in 3D gravity
• Interior Structure of a Charged Spinning Black Hole in $(2+1)$-Dimensions
• The CFT dual of AdS gravity with torsion
• General analysis of self-dual solutions for the Einstein-Maxwell-Chern-Simons theory in (1+2) dimensions
• 2+1 dimensional charged black hole with (anti-)self dual Maxwell fields
• Magnetically charged solutions via an analog of the electric-magnetic duality in (2+1)-dimensional gravity theories
• Charged Rotating Black Hole Formation from Thin Shell Collapse in Three Dimensions
• Supersymmetric 3D gravity with torsion: asymptotic symmetries
• Self-dual Maxwell field in 3D gravity with torsion
• Stability of 3D black hole with torsion
• Geodesic Motions in 2+1 Dimensional Charged Black Holes

Cited by in corpus (8)

• f(T) teleparallel gravity and cosmology
• Circularly symmetric solutions in three-dimensional Teleparallel, f(T) and Maxwell-f(T) gravity
• Born-Infeld and Charged Black Holes with non-linear source in $f(T)$ Gravity
• Dirac quasinormal modes of Chern-Simons and BTZ black holes with torsion
• Nonlinear electrodynamics in 3D gravity with torsion
• Self-dual Maxwell field in 3D gravity with torsion
• A note on the pp-wave solution of Minimal Massive 3D Gravity coupled with Maxwell-Chern-Simons theory
• Bosonic (p - 1)-forms in Einstein-Cartan theory of gravity