An intrinsic characterization of spherically symmetric spacetimes

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.

15 pages; submitted to Class. Quantum Grav.

References in corpus (3)

• An intrinsic characterization of the Kerr metric
• An intrinsic characterization of 2+2 warped spacetimes
• Rainich theory for type D aligned Einstein-Maxwell solutions

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