The relativistic uniform model: the metric of the covariant theory of gravitation inside a body

Autor: Fedosin Sergey
Jazyk: English<br />Russian
Rok vydání: 2021
Předmět:
Zdroj: St. Petersburg Polytechnical University Journal: Physics and Mathematics, Vol 14, Iss 3 (2021)
Druh dokumentu: article
ISSN: 2405-7223
DOI: 10.18721/JPM.14313
Popis: In the paper, it has been established that the sum of stress-energy tensors of the electromagnetic and gravitational fields, the acceleration and the pressure ones inside a stationary uniform spherical body vanishes within the framework of relativistic uniform model. This fact significantly simplifies a solution of the equation for the metric in the covariant theory of gravitation (CTG). The metric tensor components inside the body were calculated, and then they were combined with those of external metric tensor on the body’s surface. The latter procedure also allowed us to exactly determine one of two unknown coefficients in the metric outside the body. The comparison between the CTG metric and the Reissner – Nordström one in general theory of relativity clearly demonstrated their difference caused by discrepancy between equations for the metric and a difference in formulations of the cosmological constant.
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