A Model for a Spherically Symmetric Space Generated by a Spherical Gravitational Source and a Gravitational Medium with Constant Mass Density

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.

Cite this paper

N. Popov and V. Tsurkov, "A Model for a Spherically Symmetric Space Generated by a Spherical Gravitational Source and a Gravitational Medium with Constant Mass Density,"*International Journal of Astronomy and Astrophysics*, Vol. 3 No. 2, 2013, pp. 21-27. doi: 10.4236/ijaa.2013.32A004.

N. Popov and V. Tsurkov, "A Model for a Spherically Symmetric Space Generated by a Spherical Gravitational Source and a Gravitational Medium with Constant Mass Density,"

References

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[1] S. Permutter, et al., “Measurements of Ω and Λ from 42 High-Redshift Supernovae,” The Astrophysical Journal, Vol. 517, No. 2, 1999, pp. 565-586. doi:10.1086/307221

[2] A. G. Ries, et al., “Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant,” The Astronomical Journal, Vol. 116, No. 3, 1998, pp. 1009-1038.

[3] A. D. Chermin, “Dark Energy and Universal Antigravitation,” Physics-Uspekhi, Vol. 51, No. 3, 2008, pp. 253-282.

[4] L. D. Landau and E. M. Lifshiz, “The Field Theory,” Nauka, Moscow, 1973.

[5] N. N. Popov, “A Geometric Interpretation of Gravity Theory,” Advances in Systems Science and Application, Vol. 12, No. 3, 2012, pp. 53-66.

[6] W. de Sitter.,” On Einstein’s Theory of Gravitation and Its Astronomical Consequences,” Monthly Notices of the Royal Astronomical Society, Vol. 78, No. 3, 1917, pp. 3-28.

[7] S. Chandrasekhar, “The Mathematical Theory of Black Holes,” Clarendon Press, Oxford, 1983.