Geodesic motion and test fields in the background of higher-dimensional black holes

Conference paper

Geodesic motion and test fields in the background of higher-dimensional black holes

Krtouš, P.

In: Proceedings of RAGtime 8/9, 15-19/19-21 September, 2006/2007, Hradec nad Moravicí, Opava, Czech Republic, ed. S. Hledík and Z. Stuchlík, Silesian University in Opava, Opava, pp. 139-149 (2007)

Abstract

In a series of papers, we recently investigated properties of geodesic motion and
test scalar fields in the background of generic rotating higherdimensional black
holes. In this contribution, we briefly discuss the integrability of geodesic motion,
the construction of constants of motion, and the relation to the separability of the
Hamilton-Jacobi equation. We also present a class of algebraically special test
electromagnetic fields which generalize the electromagnetic field of a charged black
hole in four dimensions. It will be, however, shown that in higher dimensions such
fields cannot be easily modified in such a way that they would satisfy full
Maxwell-Einstein equations.

Institute authors

Krtouš, Pavel

Supported by

GACR 202/06/0041 — Contemporary problems of general relativity and gravitation
LC06014 — Centrum teoretické astrofyziky

BibTeX

@inproceedings{UTF61,
  author        = {Krtouš, P.},
  title         = {{Geodesic motion and test fields in the background of higher-dimensional black holes}},
  booktitle     = {Proceedings of RAGtime 8/9, 15-19/19-21 September, 2006/2007, Hradec nad Moravicí, Opava, Czech Republic},
  editor        = {S. Hledík and Z. Stuchlík},
  publisher     = {Silesian University in Opava},
  address       = {Opava},
  pages         = {139-149},
  year          = {2007},
}