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The spacetime models with dust matter that admit separation of variables in Hamilton–Jacobi equations of a test particle

Konstantin Osetrin

http://orcid.org/0000-0003-4739-2788

Theoretical Physics Department, Tomsk State Pedagogical University, Tomsk 634061, Russia

National Research Tomsk State University, Tomsk 634050, Russia

E-mail Address: osetrin@tspu.edu.ru

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Altair Filippov

Department of Informatics, Tomsk State Pedagogical University, Tomsk 634061, Russia

E-mail Address: altair@tspu.edu.ru

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, and

Evgeny Osetrin

Theoretical Physics Department, Tomsk State Pedagogical University, Tomsk 634061, Russia

E-mail Address: evgeny.osetrin@gmail.com

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https://doi.org/10.1142/S0217732316500279Cited by:22 (Source: Crossref)

Abstract

The characteristics of dust matter in spacetime 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.

Keywords:

PACS: 04.20.Jb, 11.30.Ly

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