Static Einstein-Maxwell Solutions in 2+1 dimensions

Mauricio Cataldo; Patricio Salgado

doi:10.1103/PhysRevD.54.2971

Static Einstein-Maxwell Solutions in 2+1 dimensions

广义相对论与量子宇宙学 2009-10-28 v1

作者: Mauricio Cataldo , Patricio Salgado

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摘要

We obtain the Einstein-Maxwell equations for (2+1)-dimensional static space-time, which are invariant under the transformation $q_0=i\,q_2,q_2=i\,q_0,\alpha \rightleftharpoons \gamma$ . It is shown that the magnetic solution obtained with the help of the procedure used in Ref.~\cite{Cataldo}, can be obtained from the static BTZ solution using an appropriate transformation. Superpositions of a perfect fluid and an electric or a magnetic field are separately studied and their corresponding solutions found.

关键词

general relativity static spherically symmetric solutions in general relativity electromagnetism

引用

@article{arxiv.gr-qc/9605049,
  title  = {Static Einstein-Maxwell Solutions in 2+1 dimensions},
  author = {Mauricio Cataldo and Patricio Salgado},
  journal= {arXiv preprint arXiv:gr-qc/9605049},
  year   = {2009}
}

备注

8 pages, LaTeX, no figures, to appear in Physical Review D

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