Separability in cohomogeneity-2 Kerr-NUT-AdS metrics
نویسندگان
چکیده
منابع مشابه
Separability in Cohomogeneity - 2 Kerr - NUT - AdS Metrics
The remarkable and unexpected separability of the Hamilton-Jacobi and Klein-Gordon equations in the background of a rotating four-dimensional black hole played an important rôle in the construction of generalisations of the Kerr metric, and in the uncovering of hidden symmetries associated with the existence of Killing tensors. In this paper, we show that the Hamilton-Jacobi and Klein-Gordon eq...
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The study of the separability of the Hamilton–Jacobi and the corresponding scalar field equations in a curved spacetime has a long history. Robertson [1] and Eisenhart [2] discussed general conditions for such a separability in spaces which admit a complete set of mutually orthogonal families of hypersurfaces. An important class of 4-dimensional separable spacetimes, including several type D me...
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We demonstrate that the general (A)dS-Kerr-NUT solutions in D dimensions with ([D/2], [(D + 1)/2]) signature admit [D/2] linearly-independent, mutually-orthogonal and affinely-parameterised null geodesic congruences. This enables us to write the metrics in a multi-Kerr-Schild form, where the mass and all of the NUT parameters enter the metrics linearly. In the case of D = 2n, we also obtain n h...
متن کاملHidden Symmetry of Higher Dimensional Kerr–NUT–AdS Spacetimes
It is well known that 4–dimensional Kerr–NUT–AdS spacetime possesses the hidden symmetry associated with the Killing–Yano tensor. This tensor is ‘universal’ in the sense that there exist coordinates where it does not depend on any of the free parameters of the metric. Recently the general higher dimensional Kerr–NUT–AdS solutions of the Einstein equations were obtained. We demonstrate that all ...
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The four-dimensional Kerr-de Sitter and Kerr-AdS black hole metrics have cohomogeneity 2, and they admit a generalisation in which an additional parameter characterising a NUT charge is included. In this paper, we study the higher-dimensional Kerr-AdS metrics, specialised to cohomogeneity 2 by appropriate restrictions on their rotation parameters, and we show how they too admit a generalisation...
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2006
ISSN: 1029-8479
DOI: 10.1088/1126-6708/2006/04/008