The Gravitational Field of Massive Non-Charged Point Source in General Relativity
| dc.creator | Fiziev, Plamen | |
| dc.date | 2004-12-30 | |
| dc.date.accessioned | 2026-07-07T03:29:18Z | |
| dc.date.available | 2026-07-07T03:29:18Z | |
| dc.description | Utilizing various gauges of the radial coordinate we give a description of static spherically symmetric space-times with point singularity at the center and vacuum outside the singularity. We show that in general relativity (GR) there exist a two-parameters family of such solutions to the Einstein equations which are physically distinguishable but only some of them describe the gravitational field of a single massive point particle with nonzero bare mass $M_0$. In particular, the widespread Hilbert's form of Schwarzschild solution, which depends only on the Keplerian mass $M<M_0$, does not solve the Einstein equations with a massive point particle's stress-energy tensor as a source. Novel normal coordinates for the field and a new physical class of gauges are proposed, in this way achieving a correct description of a point mass source in GR. We also introduce a gravitational mass defect of a point particle and determine the dependence of the solutions on this mass defect. The result can be described as a change of the Newton potential $ϕ_{{}_N}=-G_{{}_N}M/r$ to a modified one: $ϕ_{{}_G}=-G_{{}_N}M/ (r+G_{{}_N} M/c^2\ln{{M_0}\over M})$ and a corresponding modification of the four-interval. In addition we give invariant characteristics of the physically and geometrically different classes of spherically symmetric static space-times created by one point mass. These space-times are analytic manifolds with a definite singularity at the place of the matter particle. | |
| dc.description | 12 pages, latex file, no figures | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0412131 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0412131 | |
| dc.identifier | in Proceedings of the Conference Contemporary Aspects of Astronomy, Theoretical and Gravitational Physics, May 20-22, 2004, Sofia, Bulgaria | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/35165 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | The Gravitational Field of Massive Non-Charged Point Source in General Relativity | |
| dc.type | text |