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We study a massless scalar field propagating in the background of a five-dimensional rotating black hole. We showed that in the Myers-Perry metric describing such a black hole the massless field equation allows the separation of variables.…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Valeri Frolov , Dejan Stojkovic

It is well-known that the Kerr-metric (rotating black hole in four dimensions) has Petrov type D. We prove a similar property in five dimensions. The Myers-Perry metric (rotating black hole in five dimensions) with one non-zero angular…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Pieter-Jan De Smet

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

We study motion of particles and light in a space-time of a 5-dimensional rotating black hole. We demonstrate that the Myers-Perry metric describing such a black hole in addition to three Killing vectors possesses also a Killing tensor. As…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Valeri Frolov , Dejan Stojkovic

We present a new family of multi-centered rotating black hole solutions in 5D vacuum Einstein gravity, providing explicit examples of cohomogeneity-three spacetimes. It is well known that, in the presence of two commuting Killing vector…

High Energy Physics - Theory · Physics 2026-03-02 Shinya Tomizawa , Jun-ichi Sakamoto , Ryotaku Suzuki

Using the inverse scattering method we construct a six-parameter family of exact, stationary, asymptotically flat solutions of the 4+1 dimensional vacuum Einstein equations, with U(1)^2 rotational symmetry. It describes the superposition of…

High Energy Physics - Theory · Physics 2009-12-07 Carlos A. R. Herdeiro , Carmen Rebelo , Miguel Zilhao , Miguel S. Costa

We clarify the relationship between rotation and the energy condition for stationary rotating wormhole solutions of the Einstein equations coupled to a phantom field in five-dimensional spacetime with equal angular momenta, particularly…

General Relativity and Quantum Cosmology · Physics 2026-03-16 Keiya Uemichi , Yasutaka Koga , Daiki Saito , Chul-Moon Yoo , Daisuke Yoshida

It has been shown that black holes could be used as particle accelerators to create arbitrarily high center-of-mass (CM) energy if certain critical conditions are satisfied. Most studies so far are confined in four-dimensional spacetimes.…

General Relativity and Quantum Cosmology · Physics 2017-09-01 Jincheng An , Sijie Gao

Classical black hole spacetimes can be recovered from the classical limit of quantum scattering amplitudes in a low-energy effective field theory of gravity. In this work we compute, at first post-Minkowskian and dipole order, the metric…

High Energy Physics - Theory · Physics 2026-02-10 Claudio Gambino , Fabio Riccioni , Victor Sanz Sanchis

It is unlikely that uniqueness theorem holds for stationary black holes in higher dimensional spacetimes. However, we will examine the possibility that the higher multipole moments classify vacuum solutions uniquely. Especially, we compute…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Shinya Tomizawa , Yuki Uchida , Tetsuya Shiromizu

It is widely believed that the curvature singularities are an artifact of general relativity and may not exist in the Universe, and likely to be defined by the quantum gravity. In the absence of successful quantum gravity, significant…

General Relativity and Quantum Cosmology · Physics 2020-08-25 Fazlay Ahmed , Dharm Veer Singh , Sushant G Ghosh

We obtain a new exact solution of the 5D Einstein equations in vacuum describing a distorted Myers-Perry black hole with a single angular momentum. Locally, the solution is interpreted as a black hole distorted by a stationary $U(1)\times…

General Relativity and Quantum Cosmology · Physics 2015-04-08 Shohreh Abdolrahimi , Jutta Kunz , Petya Nedkova

We construct exact charged rotating black holes in Einstein-Maxwell-dilaton theory in $D$ spacetime dimensions, $D \ge 5$, by embedding the $D$ dimensional Myers-Perry solutions in $D+1$ dimensions, and performing a boost with a subsequent…

High Energy Physics - Theory · Physics 2008-11-26 Jutta Kunz , Dieter Maison , Francisco Navarro-Lerida , Jan Viebahn

We construct a new class of perturbative extremal charged rotating black hole solutions in five dimensions in the Einstein--Born-Infeld theory. We start with an extremal five-dimensional Myers-Perry black hole seed in which the two possible…

General Relativity and Quantum Cosmology · Physics 2014-08-18 Masoud Allahverdizadeh , Jose P. S. Lemos , Ahmad Sheykhi

We study electromagnetic test fields in the background of vacuum black rings using Killing vectors as vector potentials. We consider both spacetimes with a rotating S^1 and with a rotating S^2 and we demonstrate, in particular, that the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Marcello Ortaggio , Vojtech Pravda

We study the canonical quantization of a massive scalar field on a five dimensional, rotating black hole space-time. We focus on the case where the space-time is asymptotically anti-de Sitter and the black hole's two angular momentum…

High Energy Physics - Theory · Physics 2025-11-27 Alessandro Monteverdi , Elizabeth Winstanley

We present an exact five-dimensional ($5D$) rotating regular black hole metric, with a deviation parameter $k\geq 0$, that interpolates between the $5D$ Kerr black hole ($k=0$) and $5D$ Kerr-Newman ($r \gg k$). This $5D$ rotating regular…

General Relativity and Quantum Cosmology · Physics 2022-06-02 Fazlay Ahmed , Dharm Veer Singh , Sushant G. Ghosh

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

Inspired by the recent work on the spacetime structure near generic black hole horizons [1], the near horizon charges for an explicit example in higher dimensions than four (d > 4), namely for the five dimensional Myers-Perry metric with…

High Energy Physics - Theory · Physics 2021-03-18 Zahra Mirzaiyan

We examine the gyromagnetic ratios of rotating and charged AdS black holes in four and higher spacetime dimensions. We compute the gyromagnetic ratio for Kerr-AdS black holes with an arbitrary electric charge in four dimensions and show…

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