Publikace ÚTF

Symmetry axes of Kerr-NUT-(A)dS spacetimes

Kolář, I.; Krtouš, P.

We study fixed points of isometries of the higher-dimensional Kerr-NUT-(A)dS spacetimes that form generalizations of symmetry axes. It turns out that, in the presence of nonzero NUT charges, some parts of the symmetry axes are necessarily singular and their intersections are surrounded by regions with closed timelike curves. Motivated by similarities with the spacetime of a spinning cosmic string, we introduce geometric quantities that characterize various types of singularities on symmetry axes. Expanding the Kerr-NUT-(A)dS spacetimes around candidates for possible fixed points, we find the Killing vectors associated with generalized symmetry axes. By means of these Killing vectors, we calculate the introduced geometric quantities describing axial singularities and show their relation to the parameters of the Kerr-NUT-(A)dS spacetimes. In addition, we identify the Killing coordinates that may be regarded as generalization of the Boyer-Lindquist coordinates.
type:article
journal:Phys. Rev. D
volume:100
pages:064014
year:2019
eprint:arxiv:1905.06585
grants:Spacetimes and Fields in Einstein's Theory of Gravity and its Generalizations, GAČR 17-01625S; 2017-2019; hlavní řešitel: Jiří Podolský
Black Holes and Related Spacetimes in Four and Higher Dimensions, GAUK 196516/2016; 2016-2018; řešitelé: Ivan Kolář, Filip Hejda, Ondřej Hruška
Aktuální problémy teoretické fyziky, astronomie a astrofyziky; 2017-2019; řešitel: Oldřich Semerák
files:
physrevd100(2019)064014.pdf (4733 kB)

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