Astronomy and Astrophysics – Astronomy
Scientific paper
Feb 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983ap%26ss..90..127l&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 90, no. 1, Feb. 1983, p. 127-138.
Astronomy and Astrophysics
Astronomy
1
Binary Stars, Black Holes (Astronomy), Field Theory (Physics), Relativity, Roche Limit, Schwarzschild Metric, Potential Fields, Tensor Analysis
Scientific paper
A mathematical solution for general relativistic binary systems is obtained. An approximation for the Roche potential in the vicinity of a component is described. The general form of the metric tensor in the vicinity of a component of the binary system is assumed in the light of Schwarzschild's solution, and the Christoffel symbols of the second kind as well as the Ricci tensor for this metric tensor are calculated. The field equations and their mathematical solutions are obtained, and a conclusion concerning the black hole in some binary systems is deduced from the mathematical solution.
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