Abstract
We construct a new class of vacuum black hole solutions whose geometry is
deformed and twisted by the presence of NUT charges. The solutions are
obtained by ‘unspinning’ the general Kerr-NUT-(A)dS spacetimes, effectively
switching off some of their rotation parameters. The resulting geometry has a
structure of warped space with the Kerr-like Lorentzian part warped to a
Euclidean metric of a deformed and/or twisted sphere, with the deformation
and twist characterized by the ‘Euclidean NUT’ parameters. In the absence of
NUTs, the solution reduces to a well known Kerr-(A)dS black hole with
several rotations switched off. New geometries inherit the original symmetry
of the Kerr-NUT-(A)dS family, namely, they possess the full Killing tower of
hidden and explicit symmetries. As expected, for vanishing NUT, twist, and
deformation parameters, the symmetry is further enlarged.
deformed and twisted by the presence of NUT charges. The solutions are
obtained by ‘unspinning’ the general Kerr-NUT-(A)dS spacetimes, effectively
switching off some of their rotation parameters. The resulting geometry has a
structure of warped space with the Kerr-like Lorentzian part warped to a
Euclidean metric of a deformed and/or twisted sphere, with the deformation
and twist characterized by the ‘Euclidean NUT’ parameters. In the absence of
NUTs, the solution reduces to a well known Kerr-(A)dS black hole with
several rotations switched off. New geometries inherit the original symmetry
of the Kerr-NUT-(A)dS family, namely, they possess the full Killing tower of
hidden and explicit symmetries. As expected, for vanishing NUT, twist, and
deformation parameters, the symmetry is further enlarged.
| Original language | English |
|---|---|
| Article number | 115016 |
| Journal | Classical and Quantum Gravity |
| Volume | 33 |
| Issue number | 11 |
| DOIs | |
| Publication status | Published - 2016 |
| Externally published | Yes |