1995/07/28 by V. D. Ivashchuk, V. N. Melnikov
Physics and Astronomy · #gr-qc
published as Grav.Cosmol. 1 (1995) 204-210 · 16 pages, LaTex. Submitted to Gravitation and Cosmology (new Russian journal)
arxiv created 1995/07/28 · arxiv updated 2009/11/30
It is proved that the Riemann tensor squared is divergent as τ\ra 0 for a wide class of cosmological metrics with non-exceptional Kasner-like behaviour of scale factors as τ\ra 0, where τ 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 \citeFIM has a divergent Riemann tensor squared as R \ra R0, where R0 is parameter of length of the solution. Multitemporal naked singularities are also considered.