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We generalize the notion of hidden conformal symmetry in Kerr/CFT to Kerr-(A)dS black holes in arbitrary dimensions. We build the SL(2, R) generators directly from the Killing tower, whose Killing tensors and Killing vectors enforce the…

High Energy Physics - Theory · Physics 2022-05-25 Cynthia Keeler , Victoria Martin , Alankrita Priya

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 role in the construction of generalisations of the Kerr metric, and…

High Energy Physics - Theory · Physics 2009-11-11 W. Chen , H. Lu , C. N. Pope

We revisit the previously known local inversion symmetry of the five-dimensional Kerr-AdS metric that relates the over-rotating black hole to the under-rotating one and reinterpret it as an interchanging symmetry between time and the…

High Energy Physics - Theory · Physics 2024-05-10 Si-Yue Lu , Peng Zhao , H. Lu

We examine the electromagnetic properties of Kerr-anti-de Sitter (Kerr-AdS) black holes in four and higher spacetime dimensions. Assuming that the black holes may carry a test electric charge we show that the Killing one-form which…

High Energy Physics - Theory · Physics 2008-11-26 Alikram N. Aliev

It was recently observed that Kerr-AdS metrics with negative mass describe smooth spacetimes that have a region with naked closed time-like curves, bounded by a velocity of light surface. Such spacetimes are sometimes known as time…

General Relativity and Quantum Cosmology · Physics 2018-08-15 M. Cvetic , Wei-Jian Geng , H. Lu , C. N. Pope

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…

High Energy Physics - Theory · Physics 2018-07-18 Pavel Krtous , David Kubiznak , Valeri P. Frolov , Ivan Kolar

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…

General Relativity and Quantum Cosmology · Physics 2008-11-26 David Kubiznak , Valeri P. Frolov

We present a theorem describing a dual relation between the local geometry of a space admitting a symmetric second-rank Killing tensor, and the local geometry of a space with a metric specified by this Killing tensor. The relation can be…

High Energy Physics - Theory · Physics 2008-11-26 R. H. Rietdijk , J. W. van Holten

Based on the work of Chen, L\"u and Pope, we derive expressions for the $D\geq 6$ dimensional metric for Kerr-(A)dS black holes with two independent rotation parameters and all others set equal to zero: $a_1\neq 0, a_2\neq0, a_3=a_4=...=0$.…

High Energy Physics - Theory · Physics 2011-07-06 H. T. Cho , Jason Doukas , Wade Naylor , A. S. Cornell

In this paper, following the work of Chen, L\"u and Pope, we present the general metric for Kerr-(A)dS black holes with two rotations. The corresponding Klein-Gordon equation is separated explicitly, from which we develop perturbative…

General Relativity and Quantum Cosmology · Physics 2015-05-28 H. T. Cho , A. S. Cornell , Jason Doukas , Wade Naylor

Generalizing the scaling limit of Martelli and Sparks [hep-th/0505027] into an arbitrary number of spacetime dimensions we re-obtain the (most general explicitly known) Einstein-Sasaki spaces constructed by Chen, Lu, and Pope…

High Energy Physics - Theory · Physics 2015-05-13 David Kubiznak

The Kerr spacetime in Kaluza-Klein theory describes a rotating black hole in four dimensions from the Kaluza-Klein point of view and involves the signature of an extra dimension that shows up through the appearance of the electric and…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Alikram N. Aliev , Goksel Daylan Esmer

We consider the metric of an axially symmetric rotating black hole. We do not specify the concrete form of a metric and rely on its behavior near the horizon only. Typically, it is characterized (in the coordinates that generalize the…

General Relativity and Quantum Cosmology · Physics 2023-09-01 H. V. Ovcharenko , O. B. Zaslavskii

We wish to carry forward to higher dimensions the insightful and novel method of obtaining the Kerr metric proposed by one of us [Gen. Relativ. Gravit. 45, 2383 (2013)] for deriving the Myers-Perry rotating black hole metric. We begin with…

General Relativity and Quantum Cosmology · Physics 2022-06-30 Amin Aghababaie Dastgerdi , Behrouz Mirza , Naresh Dadhich

We construct special solutions of the Nambu-Goto equations for stationary strings in a general Kerr-NUT-(A)dS spacetime in any number of dimensions. This construction is based on the existence of explicit and hidden symmetries generated by…

General Relativity and Quantum Cosmology · Physics 2018-04-18 Jens Boos , Valeri P. Frolov

This paper contains a brief review of the remarkable properties of higher dimensional rotating black holes with the spherical topology of the horizon. We demonstrate that these properties are connected with and generated by a special…

General Relativity and Quantum Cosmology · Physics 2012-10-29 Valeri P. Frolov

In General Relativity, the spacetimes of black holes have three fundamental properties: (i) they are the same, to lowest order in spin, as the metrics of stellar objects; (ii) they are independent of mass, when expressed in geometric units;…

General Relativity and Quantum Cosmology · Physics 2021-05-26 Dimitrios Psaltis , Colm Talbot , Ethan Payne , Ilya Mandel

The full metric describing two counter-rotating identical Kerr black holes separated by a massless strut is derived in the explicit analytical form. It contains three arbitrary parameters which are the Komar mass M, Komar angular momentum…

General Relativity and Quantum Cosmology · Physics 2008-12-30 V. S. Manko , E. D. Rodchenko , E. Ruiz , B. I. Sadovnikov

Starting from a recently constructed stealth Kerr solution of higher order scalar tensor theory involving scalar hair, we analytically construct disformal versions of the Kerr spacetime with a constant degree of disformality and a regular…

General Relativity and Quantum Cosmology · Physics 2021-01-07 Timothy Anson , Eugeny Babichev , Christos Charmousis , Mokhtar Hassaine

The nonlinear superposition of the delta-metric and the Kerr metric results in delta-Kerr metric that represents a deformed Kerr black hole with delta = 1 + q, where q > 0 is proportional to the nonrelativistic quadrupole moment of the…

General Relativity and Quantum Cosmology · Physics 2020-02-10 Alireza Allahyari , Hassan Firouzjahi , Bahram Mashhoon