General relativity: An erfc metric

Autor: Réjean Plamondon
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Results in Physics, Vol 9, Iss , Pp 456-462 (2018)
Druh dokumentu: article
ISSN: 2211-3797
DOI: 10.1016/j.rinp.2018.02.035
Popis: This paper proposes an erfc potential to incorporate in a symmetric metric. One key feature of this model is that it relies on the existence of an intrinsic physical constant σ, a star-specific proper length that scales all its surroundings. Based thereon, the new metric is used to study the space–time geometry of a static symmetric massive object, as seen from its interior. The analytical solutions to the Einstein equation are presented, highlighting the absence of singularities and discontinuities in such a model. The geodesics are derived in their second- and first-order differential formats. Recalling the slight impact of the new model on the classical general relativity tests in the solar system, a number of facts and open problems are briefly revisited on the basis of a heuristic definition of σ. A special attention is given to gravitational collapses and non-singular black holes.
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