Integrability and the Kerr-(A)dS black hole in five dimensions

Hari K. Kunduri; James Lucietti

doi:10.1103/PhysRevD.71.104021

Integrability and the Kerr-(A)dS black hole in five dimensions

Hari K. Kunduri, James Lucietti

School of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this note we prove that the Hamilton-Jacobi equation for a particle in the five dimensional Kerr-(A)dS black hole is separable, for arbitrary rotation parameters. As a result we find an irreducible Killing tensor. We also consider the Klein-Gordon equation in this background and show that this is also separable. Finally we comment on extensions and implications of these results.

Original language	English
Journal	Physical Review D, particles, fields, gravitation, and cosmology
DOIs	https://doi.org/10.1103/PhysRevD.71.104021
Publication status	Published - 19 May 2005

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hep-th

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10.1103/PhysRevD.71.104021

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title = "Integrability and the Kerr-(A)dS black hole in five dimensions",

abstract = "In this note we prove that the Hamilton-Jacobi equation for a particle in the five dimensional Kerr-(A)dS black hole is separable, for arbitrary rotation parameters. As a result we find an irreducible Killing tensor. We also consider the Klein-Gordon equation in this background and show that this is also separable. Finally we comment on extensions and implications of these results.",

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AU - Lucietti, James

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N2 - In this note we prove that the Hamilton-Jacobi equation for a particle in the five dimensional Kerr-(A)dS black hole is separable, for arbitrary rotation parameters. As a result we find an irreducible Killing tensor. We also consider the Klein-Gordon equation in this background and show that this is also separable. Finally we comment on extensions and implications of these results.

AB - In this note we prove that the Hamilton-Jacobi equation for a particle in the five dimensional Kerr-(A)dS black hole is separable, for arbitrary rotation parameters. As a result we find an irreducible Killing tensor. We also consider the Klein-Gordon equation in this background and show that this is also separable. Finally we comment on extensions and implications of these results.

KW - hep-th

U2 - 10.1103/PhysRevD.71.104021

DO - 10.1103/PhysRevD.71.104021

M3 - Article

JO - Physical Review D, particles, fields, gravitation, and cosmology

JF - Physical Review D, particles, fields, gravitation, and cosmology

ER -

Integrability and the Kerr-(A)dS black hole in five dimensions

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