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A static Einstein metric that generalizes the Schwarzschild metric | José L. Martínez-Morales
; | Date: |
18 Aug 2005 | Subject: | gr-qc | Abstract: | A 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 | Services: | Forum | Review | PDF | Favorites |
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