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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

In this article we analyze the geodesics of test particles and light in the five dimensional (charged) doubly spinning black ring spacetime. Apparently it is not possible to separate the Hamilton-Jacobi-equation for (charged) doubly…

General Relativity and Quantum Cosmology · Physics 2013-03-27 Saskia Grunau , Valeria Kagramanova , Jutta Kunz

The geodesics of the rotating extreme black hole in five spacetime dimensions found by Breckenridge, Myers, Peet and Vafa are Liouville integrable and may be integrated by additively separating the Hamilton-Jacobi equation. This allows us…

High Energy Physics - Theory · Physics 2009-10-07 G. W. Gibbons , C. A. R. Herdeiro

We construct analytic extensions across the Killing horizons of non-extremal and extremal dipole black rings in Einstein-Maxwell's theory using different methods. We show that these extensions are non-globally hyperbolic, have multiple…

High Energy Physics - Theory · Physics 2014-12-23 Jay Armas

The paper contains a brief review of recent results on hidden symmetries in higher dimensional black hole spacetimes. We show how the existence of a principal CKY tensor (that is a closed conformal Killing-Yano 2-form) allows one to…

General Relativity and Quantum Cosmology · Physics 2009-11-05 Valeri P. Frolov

In this work the possible geodesic completeness of an electromagnetic dipole wormhole is studied in detail. The space-time contains a curvature singularity and belongs to a class of solutions to the Einstein-Maxwell equations with a coupled…

General Relativity and Quantum Cosmology · Physics 2023-03-23 Juan Carlos Del Águila , Tonatiuh Matos

The Kerr-Taub-NUT spacetime in the Kaluza-Klein theory represents a localized stationary and axisymmetric object in four dimensions from the Kaluza-Klein viewpoint. That is, it harbors companion electromagnetic and dilaton fields, thereby…

General Relativity and Quantum Cosmology · Physics 2013-04-03 Göksel Daylan Esmer

We present analytical solutions of the geodesic equations of test particles and light in the five dimensional singly spinning black ring spacetime for special cases, since it does not appear possible to separate the Hamilton-Jacobi-equation…

General Relativity and Quantum Cosmology · Physics 2012-12-05 Saskia Grunau , Valeria Kagramanova , Jutta Kunz , Claus Lämmerzahl

Recently, a remarkable new class of spacetimes describing black holes immersed in a non-aligned electromagnetic field has been found. While still of type D, this class goes beyond the famous Pleba\'nski--Demia\'nski family. Here we…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Finnian Gray , David Kubiznak , Hryhorii Ovcharenko , Jiri Podolsky

A generalization of the Majumdar-Papapetrou multi-black hole spacetime was recently constructed by Teo and Wan [1], describing charged and spinning (extremal) balanced black holes in asymptotically flat spacetime. We explore the dynamics of…

General Relativity and Quantum Cosmology · Physics 2025-02-05 Zeus S. Moreira , Carlos A. R. Herdeiro , Luís C. B. Crispino

We elaborate on basic properties of generalized Killing-Yano tensors which naturally extend Killing-Yano symmetry in the presence of skew-symmetric torsion. In particular, we discuss their relationship to Killing tensors and the…

High Energy Physics - Theory · Physics 2010-07-29 Tsuyoshi Houri , David Kubiznak , Claude M. Warnick , Yukinori Yasui

We examine the separability properties of the equation of motion for a stationary string near a rotating charged black hole with two independent angular momenta in five-dimensional minimal gauged supergravity. It is known that the…

High Energy Physics - Theory · Physics 2009-02-20 Haji Ahmedov , Alikram N. Aliev

Important classes of null geodesics and hidden symmetries in the Sen black hole are investigated. First, we obtain the principal null geodesics and circular photon orbits. Then, an irreducible rank-two Killing tensor and a conformal Killing…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kenta Hioki , Umpei Miyamoto

Recently, the current authors have formulated and extensively explored a rather novel Painleve-Gullstrand variant of the slow-rotation Lense-Thirring spacetime, a variant which has particularly elegant features -- including unit lapse,…

General Relativity and Quantum Cosmology · Physics 2021-12-13 Joshua Baines , Thomas Berry , Alex Simpson , Matt Visser

Assuming the existence of a single rank-2 closed conformal Killing-Yano tensor with a certain symmetry we show that there exist mutually commuting rank-2 Killing tensors and Killing vectors. We also discuss the condition of separation of…

High Energy Physics - Theory · Physics 2008-11-26 Tsuyoshi Houri , Takeshi Oota , Yukinori Yasui

We study the physics of photon rings in a wide range of axisymmetric black holes admitting a separable Hamilton-Jacobi equation for the geodesics. Utilizing the Killing-Yano tensor, we derive the Penrose limit of the black holes, which…

General Relativity and Quantum Cosmology · Physics 2025-01-22 D. Giataganas , A. Kehagias , A. Riotto

We analyze the origin of separability for rotating black holes in string theory, considering both massless and massive geodesic equations as well as the corresponding wave equations. We construct a conformal Killing-Stackel tensor for a…

High Energy Physics - Theory · Physics 2015-06-05 Finn Larsen , Cynthia Keeler

The paper contains a brief review of recent results on hidden symmetries in higher dimensional black hole spacetimes. We show how the existence of a principal CKY tensor (that is a closed non-degenerate conformal Killing-Yano 2-form) allows…

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

General higher-dimensional rotating black hole spacetimes of any dimensions admit the Killing and Killing-Yano tensors, which generate the hidden symmetries just as in four-dimensional Kerr spacetime. We study these properties of the black…

High Energy Physics - Theory · Physics 2009-11-06 Haji Ahmedov , Alikram N. Aliev

We provide a detailed analysis of the doubly spinning black ring, investigating both its general properties and its shape. We also examine the geometry of the ergosurface, illustrating the process of self-merging and discussing the physics…

General Relativity and Quantum Cosmology · Physics 2009-02-27 Matthew Carlton
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