Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2010-06-23
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
5 pages, Latex
Scientific paper
The Schwarzschild solution is generalized for the case of n internal Ricci-flat spaces. It is shown that in the four-dimensional section of the metric a horizon exists only when the internal space scale factors are constant. The scalar-vacuum generalization of the solution is also presented. [This paper is the English translation of the part of Chapter. 2.4 of the author's PhD dissertation (Moscow, 1989).]
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