Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2003-06-19
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
16 pages, no figures, latex file, changes in the Abstract,typos corrected
Scientific paper
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, we show that the widespread Hilbert's form of Schwarzschild solution, which depends only on the Keplerian mass $M
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