Unified geometrical basis for the generalized Ehlers identities and Raychaudhuri equations

DOI10.1016/S0034-4877(18)30033-8zbMath1402.83031arXiv1707.00862OpenAlexW2962990363WikidataQ126197832 ScholiaQ126197832MaRDI QIDQ1626297

Maxim A. Makukov, Eduard G. Mychelkin

Publication date: 27 November 2018

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.00862

zbMATH Keywords

Raychaudhuri equationnull congruencesspacelike congruencesEhlers identity

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20)

Related Items (1)

Classical defocussing of world lines -- cosmological implications

Cites Work

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• The general theory of space-like congruences with an application to vorticity in relativistic hydrodynamics
• Relativistic Cosmology. I
• On spacelike congruences in general relativity
• Fundamental scalar fields and the dark side of the universe
• The Large Scale Structure of Space-Time
• General Relativity

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