## 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…