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A Model for a Spherically Symmetric Space Generated by a Spherical Gravitational Source and a Gravitational Medium with Constant Mass Density
Dorodnitsyn Computing Center, Russian Academy of Sciences, Moscow, Russia
Dorodnitsyn Computing Center, Russian Academy of Sciences, Moscow, Russia
- 1 Dorodnitsyn Computing Center, Russian Academy of Sciences, Moscow, Russia
- 2 Dorodnitsyn Computing Center, Russian Academy of Sciences, Moscow, Russia
International Journal of Astronomy and Astrophysics·Volume 03 (2013)·Pages 21–27·Published 13 June 2013·DOI10.4236/ijaa.2013.32A004
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Abstract
A metric on a spherically symmetric space generated by a spherical source of gravity and filled with a gravitational medium is constructed, and criteria for the continuity of this metric on the entire space (which is equivalent to the absence of black holes) are found. Properties of radial geodesics under various constraints on the size of the gravitational source, its mass, and the mass density of the gravitational medium are studied.
KeywordsSpherically Symmetric Space with Discontinuous Scalar CurvatureGeneralized Schwarzschild MetricRadial GeodesicBlack HoleDark Energy
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