The space-time models with dust matter that admit separation of variables in Hamilton-Jacobi equations of a test particle

2015/10/12 by Konstantin Osetrin, Altair Filippov, Evgeny Osetrin · 1 citation
Mathematics · Physics and Astronomy · #gr-qc #hep-th #math-ph #math.MP

paper · pdf · doi:10.1142/s0217732316500279

14 pages

arxiv created 2015/10/12 · arxiv updated 2016/03/16

Abstract

The characteristics of dust matter in space-time models, admitting the existence of privilege coordinate systems are given, where the single-particle Hamilton-Jacobi equation can be integrated by the method of complete separation of variables. The resulting functional form of the 4-velocity field and energy density of matter for all types of spaces under consideration is presented.

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