On the description of open cosmological models with matter by harmonic functions.

Details On the description of open cosmological models with matter by harmonic functions. On the description of open cosmological models with matter by harmonic functions.

Sep 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990izvf...33...62b&link_type=abstract

Izv. Vyssh. Uchebn. Zaved., Fiz., Vol. 33, No. 9, p. 62 - 65

Mathematics

Logic

Relativity Theory: Cosmological Models

Scientific paper

An approach to the description of conformal-plane open models in general theory of relativity is considered with the energy-momentum tensor of an ideal liquid for an equation of state of the form p = β·ɛ. In the approximation of rational β for the description of these models by harmonic functions it is necessary to increase the dimension of the spatial hypersurface N of the four-dimensional space-time. An analogy of N and N·β with orbital and magnetic quantum numbers in quantum mechanics is observed. It is shown that by the transition to a new variable the considered problem can be reduced to the equivalent problem of the planetary model of a hydrogen-like atom.

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