Motions of a material point in the Friedmann-Lobachevsky space

Details Motions of a material point in the Friedmann-Lobachevsky space Motions of a material point in the Friedmann-Lobachevsky space

Dec 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990primm..54..926m&link_type=abstract

Prikladnaia Matematika i Mekhanika (ISSN 0032-8235), vol. 54, Nov.-Dec. 1990, p. 926-930. In Russian.

Mathematics

Logic

Equations Of Motion, Gravitational Fields, Riemann Manifold, Three Dimensional Motion, Circular Orbits, Cosmology, Relativistic Theory, Space-Time Functions

Scientific paper

Some simple motions of a material point in the Friedmann-Lobachevsky space are synthesized and investigated. Like the Galilean space, the Friedmann-Lobachevsky space is assumed to be hollow (i.e., free of matter); the forces (including gravitational forces) acting on the point are assumed to be external factors relative to the space. The problem is analyzed in terms of non-Einsteinian relativity. The difference between this kind of relativity and Einsteinian relativity is quantitatively small and is controlled by a slowly varying cosmological multiplier in the pseudo-Euclidian space metric of special relativity.

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