(2+1)-Dimensional Black Hole with Coulomb-like Field

Details (2+1)-Dimensional Black Hole with Coulomb-like Field (2+1)-Dimensional Black Hole with Coulomb-like Field

2000-08-17

arxiv.org/abs/hep-th/0008138v1

Phys.Lett. B484 (2000) 154

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, Latex, Phys. Lett. B. 484, 154 (2000)

Scientific paper

10.1016/S0370-2693(00)00609-2

A (2+1)-static black hole solution with a nonlinear electric field is derived. The source to the Einstein equations is a nonlinear electrodynamics, satisfying the weak energy conditions, and it is such that the energy momentum tensor is traceless. The obtained solution is singular at the origin of coordinates. The derived electric field E(r) is given by $E(r)=q/r^2$, thus it has the Coulomb form of a point charge in the Minkowski spacetime. This solution describes charged (anti)--de Sitter spaces. An interesting asymptotically flat solution arises for $\Lambda=0$.

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