18-49 N. Tsitverblit

Gravitation and energy-momentum conservation in nonsingular general relativity (305K, pdf) Apr 29, 18

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Abstract. Forced to be flat when nonsingularly described by the equations of general relativity in a synchronous frame, a region outside matter sources is recognized to fail in defining space-time curvature consistently with the material nature of the Lorentz transformation. The curvature then extends to such a region only when there is a continuous background medium there. Arising from vacuum decay in the universe, as any matter, this medium is thus capable of avoiding the singularity of gravitational collapse as well. The theory of general relativity is then suggested to stem from such a formulation of the generalized postulate of relativity as also includes the covariance of energy-momentum conservation for a macroscopically continuous material system, namely the universe. Implying identity between gravitation and inertia, this formulation does not need the principle of equivalence as a separate postulate. The Einstein tensor is thus interpretable as standing for the energy-momentum of the gravitational field. In terms of the background medium, its small-amplitude approximation underlain by matter dynamics and phase transitions also describes what is viewable as gravitational waves. In the framework of such a macroscopic interpretation, gravitation ought to be irrelevant to purely microscopic interactions.

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