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

Authors
  • Cataldo, M.
  • Cruz, N.
  • del Campo, S.
  • Garcia, A.
Type
Published Article
Publication Date
Aug 17, 2000
Submission Date
Aug 17, 2000
Identifiers
DOI: 10.1016/S0370-2693(00)00609-2
Source
arXiv
License
Unknown
External links

Abstract

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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