Static Einstein-Maxwell Solutions in 2+1 dimensions

Details Static Einstein-Maxwell Solutions in 2+1 dimensions Static Einstein-Maxwell Solutions in 2+1 dimensions

1996-05-22

arxiv.org/abs/gr-qc/9605049v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1103/PhysRevD.54.2971

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.

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