Magnetic Solutions to 2+1 Gravity
Eric W. Hirschmann, Dean L. Welch
TL;DR
This paper presents a new static, rotationally symmetric magnetic solution to the Einstein-Maxwell equations in 2+1 dimensions with negative cosmological constant, characterized by a finite energy monopole-like configuration.
Contribution
It introduces a novel magnetic solution in 2+1 gravity with negative cosmological constant, expanding the set of known exact solutions.
Findings
The solution is static and rotationally symmetric.
It features a non-zero magnetic field.
The energy density is finite everywhere.
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.
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