Multitemporal generalization of the Tangherlini solution

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.

14 pages. RGA-CSVR-005/94

References in corpus (2)

• Vacuum interpolation in supergravity via super p-branes
• On black holes in multidimensional theory with Ricci-flat internal spaces

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