Stationary strings and branes in the higher-dimensional Kerr-NUT-(A)dS spacetimes

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We demonstrate complete integrability of the Nambu-Goto equations for a stationary string in the general Kerr-NUT-(A)dS spacetime describing the higher-dimensional rotating black hole. The stationary string in D dimensions is generated by a 1-parameter family of Killing trajectories and the problem of finding a string configuration reduces to a problem of finding a geodesic line in an effective (D-1)-dimensional space. Resulting integrability of this geodesic problem is connected with the existence of hidden symmetries which are inherited from the black hole background. In a spacetime with p mutually commuting Killing vectors it is possible to introduce a concept of a $ξ$-brane, that is a p-brane with the worldvolume generated by these fields and a 1-dimensional curve. We discuss integrability of such $ξ$-branes in the Kerr-NUT-(A)dS spacetime.
8 pages, no figures

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High Energy Physics - Theory, General Relativity and Quantum Cosmology

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http://salesiana.dossiersoluciones.com/handle/123456789/191635

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0711.2300
 http://arxiv.org/abs/0711.2300
 JHEP0802:007,2008
 doi:10.1088/1126-6708/2008/02/007

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arXiv