Relativity and Cosmology

    

A Critical Analysis of Schwarzschild-Like Metrics

Authors: Valery Borisovich Morozov, Stefan Bernhard Ruester

By neglecting the cosmological constant Lambda, Einstein's field equations in absence of matter and other fields read G_{ik} = 0, which is not reasonable, since it violates the conservation law of total energy, momentum, and stress, because the gravitational field energy and momentum density cannot be represented by a vanishing Einstein tensor. In order to remedy this shortcoming, we construct a uniform metric, which allows us later to get a more general one, that is asymptotically equal to the Schwarzschild metric. This metric has a plausible energy-momentum density tensor of the gravitational field and correctly describes the effect of light deflection, but the perihelion shift of Mercury is overestimated. Because of the authors' different view in order to overcome the shortcomings, different solutions are obtained.

Comments: 7 Pages. Parana J. Sci. Educ., v.7, n.5, (1-7), June 18, 2021 [Corrections are made in order to comply with the rules of viXra.org]

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[v1] 2022-02-13 05:05:49

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