Black holes, hidden symmetries, and complete integrability

VP Frolov, P Krtouš, D Kubizňák - Living reviews in relativity, 2017 - Springer
The study of higher-dimensional black holes is a subject which has recently attracted vast
interest. Perhaps one of the most surprising discoveries is a realization that the properties of …

[HTML][HTML] Separation of Maxwell equations in Kerr–NUT–(A) dS spacetimes

P Krtouš, VP Frolov, D Kubizňák - Nuclear Physics B, 2018 - Elsevier
In this paper we explicitly demonstrate separability of the Maxwell equations in a wide class
of higher-dimensional metrics which include the Kerr–NUT–(A) dS solution as a special …

Killing-Yano forms and Killing tensors on a warped space

P Krtouš, D Kubizňák, I Kolář - Physical Review D, 2016 - APS
We formulate several criteria under which the symmetries associated with the Killing and
Killing-Yano tensors on the base space can be lifted to the symmetries of the full warped …

NUT-like and near-horizon limits of Kerr-NUT-(A) dS spacetimes

I Kolář, P Krtouš - Physical Review D, 2017 - APS
We study a class of limits of the higher-dimensional Kerr-NUT-(A) dS spacetimes where
particular roots of metric functions degenerate. Namely, we obtain the Taub-NUT-(A) dS and …

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

I Kolář, P Krtouš - Physical Review D, 2019 - APS
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 …

Spacetimes with a separable Klein-Gordon equation in higher dimensions

I Kolář, P Krtouš - Physical Review D, 2016 - APS
We study spacetimes that lead to a separable Klein-Gordon equation in a general number of
dimensions. We introduce an ansatz for the metric in higher dimensions motivated by …

Higher-dimensional black holes with multiple equal rotations

E Polášková, P Krtouš - Physical Review D, 2022 - APS
We study a limit of the Kerr–(A) dS spacetime in a general dimension where an arbitrary
number of its rotational parameters is set equal. The resulting metric after the limit formally …

New metrics admitting the principal Killing–Yano tensor

VP Frolov, P Krtouš, D Kubizňák - Physical Review D, 2018 - APS
It is believed that in any number of dimensions the off-shell Kerr–NUT–(A) dS metric
represents a unique geometry admitting the principal (rank 2, non-degenerate, closed …

On the uniqueness of the Myers-Perry spacetime as a type II (D) solution in six dimensions

M Ortaggio - Journal of High Energy Physics, 2017 - Springer
A bstract We study the class of vacuum (Ricci flat) six-dimensional spacetimes admitting a
non-degenerate multiple Weyl aligned null direction ℓ, thus being of Weyl type II or more …

Properties and interpretation of black hole spacetimes

E Polášková - 2022 - dspace.cuni.cz
In this thesis, we study a limit of the Kerr-(A) dS spacetime in a general dimen-sion where an
arbitrary number of its rotational parameters is set equal. The resulting metric after the limit …