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

Abstract

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.

12 pages; Accepted in Phys. Rev. D

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