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arXiv · 1005.1780

An intrinsic characterization of spherically symmetric spacetimes

Joan Josep Ferrando·Juan Antonio Sáez
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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-Nordström and Lemaître-Tolman-Bondi solutions.

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Joan Josep Ferrando, Juan Antonio Sáez. 2010-05-11. An intrinsic characterization of spherically symmetric spacetimes. https://doi.org/10.1088/0264-9381%2F27%2F20%2F205024

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