On singular solutions in multidimensional gravity

Details On singular solutions in multidimensional gravity On singular solutions in multidimensional gravity

1995-07-28

arxiv.org/abs/gr-qc/9507056v1

Grav.Cosmol. 1 (1995) 204-210

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, LaTex. Submitted to Gravitation and Cosmology (new Russian journal)

Scientific paper

It is proved that the Riemann tensor squared is divergent as $\tau \ra 0$ for a wide class of cosmological metrics with non-exceptional Kasner-like behaviour of scale factors as $\tau \ra 0$, where $\tau$ is synchronous time. Using this result it is shown that any non-trivial generalization of the spherically-symmetric Tangherlini solution to the case of $n$ Ricci-flat internal spaces \cite{FIM} has a divergent Riemann tensor squared as $R \ra R_0$, where $R_0$ is parameter of length of the solution. Multitemporal naked singularities are also considered.

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