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

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.

14 pages

References in corpus (1)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models

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