Magnetic Solutions to 2+1 Gravity

Abstract

We report on a new solution to the Einstein-Maxwell equations in 2+1 dimensions with a negative cosmological constant. The solution is static, rotationally symmetric and has a non-zero magnetic field. The solution can be interpreted as a monopole with an everywhere finite energy density.

9 pages, harvmac; we correct a reference and a typo

References in corpus (3)

• The (2+1)-Dimensional Black Hole
• Spinning charged BTZ black holes and self-dual particle-like solutions
• The electrically charged BTZ black hole with self(anti-self) dual Maxwell field

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• Regular black holes in three dimensions
• Quasinormal Modes of Charged Scalars around Dilaton Black Holes in 2+1 Dimensions: Exact Frequencies
• Azimuthal electric field in a static rotationally symmetric (2+1)-dimensional spacetime
• $(2+1)$-dimensional regular black holes with nonlinear electrodynamics sources
• On Magnetic solution to 2+1 Einstein--Maxwell gravity
• 2+1 dimensional magnetically charged solutions in Einstein - Power - Maxwell theory
• Electron-spin-resonance in the doped spin-Peierls compound Cu(1-x)Ni(x)GeO3
• Interior Structure of a Charged Spinning Black Hole in $(2+1)$-Dimensions
• No hair conjecture, nonabelian hierarchies and anti-de Sitter spacetime
• Three dimensional nonlinear magnetic AdS solutions through topological defects
• 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
• Quantum singularities in (2+1) dimensional matter coupled black hole spacetimes
• Static and rotating electrically charged black holes in three-dimensional Brans-Dicke gravity theories
• Magnetic brane solutions of Lovelock gravity with nonlinear electrodynamics
• Magnetic solutions to 2+1 dimensional gravity with dilaton field
• Magnetic point sources in three dimensional Brans-Dicke gravity theories
• Entropy for Asymptotically AdS_3 Black Holes
• Cloud of strings as source in $2+1$-dimensional $f(R)=R^n$ gravity
• Asymptotic structure of the Einstein-Maxwell theory on AdS${}_3$
• Features of gravity-Yang-Mills hierarchies in d-dimensions
• T-Duality and Spinning Solutions in 2 + 1 Gravity
• Regular BTZ black holes from an infinite tower of corrections
• Spinning Charged Solutions in 2+1 Dimensional Einstein-Maxwell-Dilaton Gravity
• Electric field in 3D gravity with torsion
• Electromagnetic Generalized Quasi-topological gravities in $(2+1)$ dimensions
• 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
• Static Einstein-Maxwell Magnetic Solitons and Black Holes in an Odd Dimensional AdS Spacetime
• Adiabatic pumping solutions in global AdS
• On the static solutions in gravity with massive scalar field in three dimensions
• Electrically charged black hole on AdS${}_3$: scale invariance and the Smarr formula
• Analytical approach to phase transitions in rotating and non-rotating 2D holographic superconductors
• On regular charged black holes in three dimensions
• Thermodynamics of BTZ Black Holes in Nonlinear Electrodynamics
• Four-dimensional anti-de Sitter black holes from a three-dimensional perspective: Full complexity
• Three dimensional stationary cyclic symmetric Einstein-Maxwell solutions; energy, mass, momentum, and algebraic tensors characteristics
• Spherical and planar three-dimensional anti-de Sitter black holes
• Radiation in (2+1)-dimensions
• Duality mappings within three-dimensional nonlinear electrodynamics
• Stable Magnetic Universes Revisited
• Three Dimensional Black Hole in the Low Energy Heterotic String Theory
• On the magnetic 2+1- D space-time and its non-relativistic counterpart