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Spherically-symmetric solutions with a chain of n internal Ricci-flat spaces
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Spherically-symmetric solutions with a chain of n internal Ricci-flat spaces
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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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Cited by 1 Pith paper
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Generalized Fisher-Janis-Newman-Winicour (FJNW) and Yilmaz-Rosen solutions in the higher-dimensional scalar-tensor theory with nonminimal coupling
Reconstructed f(φ) is positive (attractive, stable, canonical) for special FJNW (s=2,D=6) but always negative (repulsive, unstable, phantom) for generalized Yilmaz-Rosen metrics.
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