English

Spherically-symmetric solutions with a chain of n internal Ricci-flat spaces

General Relativity and Quantum Cosmology 2011-04-19 v1 High Energy Astrophysical Phenomena

Abstract

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).]

Keywords

Cite

@article{arxiv.1006.4605,
  title  = {Spherically-symmetric solutions with a chain of n internal Ricci-flat spaces},
  author = {V. D. Ivashchuk},
  journal= {arXiv preprint arXiv:1006.4605},
  year   = {2011}
}

Comments

5 pages, Latex