RUSSIAN GRAVITATIONAL ASSOCIATION CENTER FOR GRAVITATION AND FUNDAMENTAL METROLOGY ALL-RUSSIAN RESEARCH INSTITUTE OF METROLOGICAL SERVICE RGA-VNIIMS-004/95 gr-qc/9507056 On singular solutions in multidimensional gravity
نویسنده
چکیده
It is proved that the Riemann tensor squared is divergent as τ → 0 for a wide class of cosmological metrics with non-exceptional Kasner-like behaviour of scale factors as τ → 0, where τ is synchronous time. Using this result it is shown that non-trivial generalization of the spherically-symmetric Tangherlini solution to the case of n Ricci-flat internal spaces [13] has a divergent Riemann tensor squared as R → R0, where R0 is parameter of length of the solution. Multitemporal naked singularities are also considered. PACS numbers: 04.20, 04.40.
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