Hydrodynamics in the O4 gravity

Details Hydrodynamics in the O4 gravity Hydrodynamics in the O4 gravity

Dec 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981gregr..13.1161o&link_type=abstract

General Relativity and Gravitation, vol. 13, Dec. 1981, p. 1161-1176.

Mathematics

2

Cosmology, Fluid Flow, Gravitation Theory, Hydrodynamics, Manifolds (Mathematics), Equations Of Motion, Gravitational Fields, Kinetic Energy, Momentum Theory, Quantum Theory, Scalars, Variational Principles, Vector Analysis

Scientific paper

A hydrodynamics, expressing the coupling between a fluid and the gravitational field, is constructed for the O4 gravitational theory, a scalar-tensor theory based on a specially applied form of Schouten's linear connection manifold L4. The equation of motion for the fluid is derived from the variation of flow lines in an action integral, resulting in an Euler equation which includes a nonconservation parameter for matter. The energy momentum tensor of the fluid is calculated, and it is shown that, despite the nonconservation of matter, the first law of thermodynamics applies in the constant mass gauge. An attempt is then made to evaluate the matter nonconservation parameter on the basis of quantum theory and a variational principle similar to that of Hoyle's C field. Results are noted to support the previously derived universal mass function for the O4 theory.

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