422 Citations
Separability and Killing tensors in Kerr–Taub-NUT–de Sitter metrics in higher dimensions
- Mathematics
- 2005
Higher-dimensional black holes with multiple equal rotations
- Mathematics
- 2021
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 splits into two…
Generalisations of the Kerr-Taub-NUT-de Sitter Metrics in Higher Dimensions
- Physics
- 2004
The generalisation of the four-dimensional Kerr-de Sitter metrics to include a NUT charge is well known, and is included within a class of metrics obtained by Plebanski. In this paper, we show how…
Higher dimensional Kerr–Schild spacetimes
- Physics, Mathematics
- 2009
We investigate general properties of Kerr–Schild (KS) metrics in n > 4 spacetime dimensions. First, we show that the Weyl tensor is of type II or more special if the null KS vector k is geodetic (or,…
Classification of Kerr–de Sitter-like spacetimes with conformally flat I
- Mathematics, PhysicsPhysical Review D
- 2022
We provide a classification of 0$ ?>Λ>0-vacuum spacetimes which admit a Killing vector field with respect to which the associated ‘Mars–Simon tensor’ (MST) vanishes and have a conformally flat I− (or…
Free data at spacelike I and characterization of Kerr-de Sitter in all dimensions
- Mathematics
- 2021
We study the free data in the Fefferman–Graham expansion of asymptotically Einstein ( n + 1 ) -dimensional metrics with non-zero cosmological constant. We analyze the relation between the electric…
Closed conformal Killing–Yano tensor and the uniqueness of generalized Kerr–NUT–de Sitter spacetime
- Physics, Mathematics
- 2009
The higher-dimensional Kerr–NUT–de Sitter spacetime describes the general rotating asymptotically de Sitter black hole with NUT parameters. It is known that such a spacetime possesses a rank-2 closed…
Uniqueness of the Kerr–de Sitter Spacetime as an Algebraically Special Solution in Five Dimensions
- Mathematics, PhysicsCommunications in Mathematical Physics
- 2015
We determine the most general solution of the five-dimensional vacuum Einstein equation, allowing for a cosmological constant, with (i) a Weyl tensor that is type II or more special in the…
References
SHOWING 1-10 OF 15 REFERENCES
Lorentz covariant treatment of the Kerr--Schild geometry
- Physics
- 1975
It is shown that a Lorentz covariant coordinate system can be chosen in the case of the Kerr–Schild geometry which leads to the vanishing of the pseudo energy–momentum tensor and hence to the…
New Infinite Series of Einstein Metrics on Sphere Bundles from AdS Black Holes
- Mathematics, Physics
- 2004
Abstract.A new infinite series of Einstein metrics is constructed explicitly on S2×S3, and the non-trivial S3-bundle over S2, containing infinite numbers of inhomogeneous ones. They appear as a…
Rotation and the AdS/CFT correspondence
- Physics
- 1998
In asymptotically flat space a rotating black hole cannot be in thermodynamic equilibrium because the thermal radiation would have to be co-rotating faster than light far from the black hole. However…
Hamilton-Jacobi and Schrodinger Separable Solutions of Einstein’s Equations
- Mathematics
- 1968
This paper contains an investigation of spaces with a two parameter Abelian isometry group in which the Hamilton-Jacobi equation for the geodesies is soluble by separation of variables in such a way…
Exact Solutions of Einstein's Field Equations
- Physics
- 2004
We examine various well known exact solutions available in the literature to investigate the recent criterion obtained in Negi and Durgapal [Gravitation and Cosmology7, 37 (2001)] which should be…