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General relativity: an erfc metric

Réjean Plamondon

Article (2018)

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Cite this document: Plamondon, R. (2018). General relativity: an erfc metric. Results in Physics, 9, p. 456-462. doi:10.1016/j.rinp.2018.02.035
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Abstract

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.

Open Access document in PolyPublie
Subjects: 2500 Génie électrique et électronique > 2500 Génie électrique et électronique
2600 Robotique > 2605 Analyse de formes et intelligence artificielle
2700 Technologie de l'information > 2717 Études de modélisation et de simulation
Department: Département de génie électrique
Research Center: Non applicable
Funders: CRSNG/NSERC
Date Deposited: 26 Mar 2020 16:25
Last Modified: 27 Mar 2020 01:20
PolyPublie URL: https://publications.polymtl.ca/3572/
Document issued by the official publisher
Journal Title: Results in Physics (vol. 9)
Publisher: Elsevier
Official URL: https://doi.org/10.1016/j.rinp.2018.02.035

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