English

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

General Relativity and Quantum Cosmology 2019-10-16 v1

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.

Keywords

Cite

@article{arxiv.1802.07066,
  title  = {Intrinsic, deductive, explicit, and algorithmic characterization of the Szekeres-Szafron solutions},
  author = {Joan Josep Ferrando and Juan Antonio Sáez},
  journal= {arXiv preprint arXiv:1802.07066},
  year   = {2019}
}

Comments

12 pages; Accepted in Phys. Rev. D