Publikace ÚTF

Charged particle in higher dimensional weakly charged rotating black hole spacetime

Frolov, V. P.; Krtouš, P.

We study charged particle motion in weakly charged higher dimensional black holes. To describe the electromagnetic field we use a test field approximation and use the higher dimensional Kerr-NUT-(A)dS metric as a background geometry. It is shown that for a special configuration of the electromagnetic field the equations of motion of charged particles are completely integrable. The vector potential of such a field is proportional to one of the Killing vectors (called primary Killing vector) from the `Killing tower' of symmetry generating objects which exists in the background geometry. A free constant in the definition of the adopted electromagnetic potential is proportional to the electric charge of the higher dimensional black hole. The full set of independent conserved quantities in involution is found. It is demonstrated, that Hamilton-Jacobi equations are separable, as well as the corresponding Klein-Gordon equation and its symmetry operators.
type:article
journal:Phys. Rev. D
volume:83
pages:024016
year:2011
eprint:arXiv:1010.2266
grants:Exact solutions in higher dimensional and classical gravity, GAČR 202/08/0187; 2008-2011; hlavní řešitel: Jiří Podolský
Fyzikální studium objektů a procesů ve sluneční soustavě a v astro-fyzikálních systémech, výzkumný záměr MSM0021620860; 2007-2013; hlavní řešitel: Jiří Bičák
files:
phyrevd83(2011)024016.pdf (157.47 kB)

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