Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2010-05-11
Class.Quant.Grav.27:205024,2010
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
15 pages; submitted to Class. Quantum Grav.
Scientific paper
10.1088/0264-9381/27/20/205024
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.
Ferrando Joan Josep
Sáez Juan Antonio
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