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Generalized Einstein gravitational theory with vacuum vectorial field

A S Rabinowitch

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In this paper a new generalized Einstein gravitational theory with four physical vacuum potentials and the Weyl connection is proposed. In the examined case of dust-like matter, differential equations of the second order for the vacuum potentials consistent with the proposed gravitational equations are obtained. A nonsingular cosmological solution for the homogeneous and isotropic physical vacuum and a vacuum cosmological influence on particles are found. Astronomical applications of this solution are discussed.


PACS

04.20.-q Classical general relativity

98.80.-k Cosmology

MSC

83F05 Cosmology

83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)

Subjects

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 7 (7 April 2003)

Received 1 November 2002

Published 17 March 2003



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