TITLE:
A Model for a Spherically Symmetric Space Generated by a Spherical Gravitational Source and a Gravitational Medium with Constant Mass Density
AUTHORS:
Nikolaj N. Popov, Vladimir I. Tsurkov
KEYWORDS:
Spherically Symmetric Space with Discontinuous Scalar Curvature; Generalized Schwarzschild Metric; Radial Geodesic; Black Hole; Dark Energy
JOURNAL NAME:
International Journal of Astronomy and Astrophysics,
Vol.3 No.2A,
June
14,
2013
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.