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28 March 2024
 
  » arxiv » gr-qc/0508074

 Article overview


A static Einstein metric that generalizes the Schwarzschild metric
José L. Martínez-Morales ;
Date 18 Aug 2005
Subject gr-qc
AbstractA static Einstein metric that generalizes the Schwarzschild metric is considered. The event horizon is not necessarily a sphere and the term $dtsp2$ is a function on such horizon. That the metric is Einstein establishes a relation between its terms. One demonstrates that the scalar curvature of the horizon is constant, and that the term $dtsp2$ gives rise to (i) the metric of the horizon being Einstein, or (ii) the scalar curvature of the horizon being proportional to an eigenvalue of the Laplace operator.
Source arXiv, gr-qc/0508074
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