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RESEARCH PRODUCT

Intrinsic, deductive, explicit, and algorithmic characterization of the Szekeres-Szafron solutions

Juan Antonio SáezJoan Josep Ferrando

subject

PhysicsPure mathematics010308 nuclear & particles physics0103 physical sciencesFOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)Invariant (mathematics)010306 general physics01 natural sciencesGeneral Relativity and Quantum Cosmology

description

We write the known invariant definition of the Szekeres-Szafron family of solutions in an intrinsic, deductive, explicit and algorithmic form. We also intrinsically characterize the two commonly considered subfamilies, and analyze other subclasses, also defined by first-order differential conditions. Furthermore, we present a Rainich-like approach to these metrics.

https://doi.org/10.1103/physrevd.97.044026