Charged particle in higher dimensional weakly charged rotating black hole spacetime

Article

Charged particle in higher dimensional weakly charged rotating black hole spacetime

Frolov, V. P.; Krtouš, P.

Phys. Rev. D 83, 024016 (2011)

Abstract

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.

Institute authors

Krtouš, Pavel

Supported by

GACR 202/08/0187 — Exact solutions in higher dimensional and classical gravity
MSM0021620860 — Fyzikální studium objektů a procesů ve sluneční soustavě a v astro-fyzikálních systémech

BibTeX

@article{UTF425,
  author        = {Frolov, V. P. and Krtouš, P.},
  title         = {{Charged particle in higher dimensional weakly charged rotating black hole spacetime}},
  journal       = {Phys. Rev. D},
  volume        = {83},
  pages         = {024016},
  year          = {2011},
  doi           = {10.1103/PhysRevD.83.024016},
  eprint        = {1010.2266},
  archivePrefix = {arXiv},
}