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Book ChapterDOI

The Space-Time of the Bimetric General Relativity Theory

TLDR
In this article, the authors describe recent developments in the bimetric general relativity theory and discuss the space-time of the theory, in particular the relation between the theory and the theory itself.
Abstract
Several years ago, at the Sixth Course of the International School of Cosmology and Gravitation, I presented a report1 on the bimetric general relativity theory. This time I would like to describe recent developments in this theory and to discuss, in particular, the space-time of the theory.

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Gravity at Finite Temperature, Equivalence Principle,and Local Lorentz Invariance

TL;DR: In this paper, the authors illustrate the connection between the violation of the weak equivalence principle typical of gravitational interactions at finite temperature, and similar violations induced by a breaking of the local Lorentz symmetry.
Book ChapterDOI

Impenetrability of the Schwarzschild sphere in a Lorentz non-invariant theory of gravity

TL;DR: In this paper, a bimetric theory of gravity has been developed with the aim of removing some of the singularities that are present in the usual general relativity theory, in particular, solving the field equations of the BIMET theory in the case of a static and spherically symmetric source.
References
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Journal ArticleDOI

General Relativity with a Background Metric

TL;DR: In this article, a background metric γμν (in addition to gμν) was introduced to describe a spacetime of constant curvature with positive spatial curvature, which was used to remove singularities arising in general relativity by modifying it so as to take into account the existence of a fundamental rest frame in the universe.
Journal ArticleDOI

Bimetric general relativity and cosmology

TL;DR: In this article, a modification of the general relativity theory is proposed (bimetric general relativity) in which, in addition to the usual metric tensor describing the space-time geometry and gravitation, there exists also a background metric tensors γ� μv======, 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).
Journal ArticleDOI

Particle field in bimetric general relativity

TL;DR: The field equations of the bimetric general relativity theory proposed by one of the authors (N. Rosen) are put into a static form in this paper, and the equations are solved near the Schwarzschild sphere, and it is found that the field differs from that of the EGM theory: instead of a black hole, one has an impenetrable sphere.
Journal ArticleDOI

The collapsed state of a star

N. Rosen
TL;DR: In the case of pressureless matter, the metric is continuous on the stellar surface as mentioned in this paper, but there is a discontinuity of the metric across this surface in case of nonzero pressure.