Bimetric general relativity and cosmology

Computer Science

Scientific paper

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Cosmology, Gravitation Theory, Relativity, Space-Time Functions, Abundance, Cosmic Dust, Einstein Equations, Metric Space, Tensor Analysis, Universe

Scientific paper

A modification of the general relativity theory is proposed (bimetric general relativity) in which, in addition to the usual metric tensor g(mu-nu) describing the space-time geometry and gravitation, there exists also a background metric tensor gamma(mu-nu). The latter describes the spacetime of the universe if no matter were present and is taken to correspond to a space-time of constant curvature with positive spatial curvature (k = 1). Field equations are obtained, and these agree with the Einstein equations for systems that are small compared to the size of the universe, such as the solar system. Energy considerations lead to a generalized form of the De Donder condition.

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