6533b827fe1ef96bd1285b87

RESEARCH PRODUCT

An intrinsic characterization of spherically symmetric spacetimes

Joan Josep FerrandoJuan Antonio Sáez

subject

PhysicsRiemann curvature tensorIdeal (set theory)Physics and Astronomy (miscellaneous)FOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)Characterization (mathematics)General Relativity and Quantum CosmologyPhysics::History of PhysicsGeneral Relativity and Quantum Cosmologysymbols.namesakesymbolsSymmetric solutionMetric tensor (general relativity)Schwarzschild radiusMathematical physics

description

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.

yearjournalcountryeditionlanguage
2010-05-11Classical and Quantum Gravity
https://doi.org/10.1088/0264-9381/27/20/205024