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Multitemporal generalization of the Tangherlini solution

Vladimir D. Ivashchuk·Vitaly N. Melnikov
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Abstract

The n-time generalization of the Tangherlini solution [1] is considered. The equations of geodesics for the metric are integrated. For $n = 2$ it is shown that the naked singularity is absent only for two sets of parameters, corresponding to the trivial extensions of the Tangherlini solution. The motion of a relativistic particle in the multitemporal background is considered. This motion is governed by the gravitational mass tensor. Some generalizations of the solution, including the multitemporal analogue of the Myers-Perry charged black hole solution, are obtained.

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Vladimir D. Ivashchuk, Vitaly N. Melnikov. 1994-05-26. Multitemporal generalization of the Tangherlini solution. https://doi.org/10.1088/0264-9381%2F11%2F7%2F016

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