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An intrinsic characterization of spherically symmetric spacetimes
- Source :
- Class.Quant.Grav.27:205024,2010
- Publication Year :
- 2010
-
Abstract
- We give the necessary and sufficient (local) conditions for a metric tensor to be a non conformally flat spherically symmetric solution. These conditions exclusively involve explicit concomitants of the Riemann tensor. As a direct application we obtain the {\em ideal} labeling of the Schwarzschild, Reissner-Nordstr\"om and Lema\^itre-Tolman-Bondi solutions.<br />Comment: 15 pages; submitted to Class. Quantum Grav.
- Subjects :
- General Relativity and Quantum Cosmology
Subjects
Details
- Database :
- arXiv
- Journal :
- Class.Quant.Grav.27:205024,2010
- Publication Type :
- Report
- Accession number :
- edsarx.1005.1780
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1088/0264-9381/27/20/205024