Static Einstein-Maxwell Solutions in 2+1 dimensions

Abstract

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.

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

References in corpus (3)

• The Black Hole in Three Dimensional Space Time
• Magnetic Solutions to 2+1 Gravity
• Superposition of a static perfect fluid and a radial elecric field

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