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arXiv · gr-qc/9605049

Static Einstein-Maxwell Solutions in 2+1 dimensions

Mauricio Cataldo·Patricio Salgado
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Abstract

We obtain the Einstein-Maxwell equations for (2+1)-dimensional static space-time, which are invariant under the transformation $q_0=i\,q_2,q_2=i\,q_0,α\rightleftharpoons γ$. 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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Mauricio Cataldo, Patricio Salgado. 1996-05-22. Static Einstein-Maxwell Solutions in 2+1 dimensions. https://doi.org/10.1103/physrevd.54.2971

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