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The existence of stable bound orbits of test particles is one of the most characteristic properties in black hole spacetimes. In higher-dimensional black holes, due to the dimensionality of gravity, there is no stable bound orbit balanced…

General Relativity and Quantum Cosmology · Physics 2015-07-08 Takahisa Igata

As is well-known, asymptotically flat, static and spherically symmetric black holes do not admit stable bound orbits of massive/massless particles outside the horizon in higher-dimensional Einstein gravity. However, for massive particles,…

High Energy Physics - Theory · Physics 2022-06-20 Ryotaku Suzuki , Shinya Tomizawa

Assessing the stability of higher-dimensional rotating black holes requires a study of linearized gravitational perturbations around such backgrounds. We study perturbations of Myers-Perry black holes with equal angular momenta in an odd…

High Energy Physics - Theory · Physics 2009-05-29 Hari K. Kunduri , James Lucietti , Harvey S. Reall

We consider the dynamics of particles, particularly focusing on circular orbits in the higher-dimensional Majumdar-Papapetrou (MP) spacetimes with two equal mass black holes. It is widely known that in the 5D Schwarzschild-Tangherlini and…

High Energy Physics - Theory · Physics 2020-10-07 Takahisa Igata , Shinya Tomizawa

We study motion around a static Einstein and pure Lovelock black hole in higher dimensions. It is known that in higher dimensions, bound orbits exist only for pure Lovelock black hole in all even dimensions, D=2N+2, where N is degree of…

General Relativity and Quantum Cosmology · Physics 2015-05-05 Mukul Bhattacharya , Naresh Dadhich , Banibrata Mukhopadhyay

It can be easily shown that bound orbits around a static source can exist only in 4 dimension and in none else for any long range force. This is so not only for Maxwell's electromagnetic and Newton's gravity but also for Einstein's…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Naresh Dadhich , Sushant G. Ghosh , Sanjay Jhingan

We examine bound orbits of particles around singly rotating black rings. We show that there exist stable bound orbits in toroidal spiral shape near the axis of the ring, and also exist stable circular orbits on the axis as special cases.…

High Energy Physics - Theory · Physics 2010-12-13 Takahisa Igata , Hideki Ishihara , Yohsuke Takamori

We consider several different classes of asymptotically flat, rotating black objects in d = 5 Einstein-Gauss-Bonnet (EGB) theory. These are first the black holes with two equal-magnitude angular momenta, in which case extremal…

General Relativity and Quantum Cosmology · Physics 2023-03-23 Burkhard Kleihaus , Jutta Kunz , Eugen Radu

It has been conjectured that higher-dimensional rotating black holes become unstable at a sufficiently large value of the rotation, and that new black holes with pinched horizons appear at the threshold of the instability. We search…

High Energy Physics - Theory · Physics 2010-01-07 Oscar J. C. Dias , Pau Figueras , Ricardo Monteiro , Jorge E. Santos , Roberto Emparan

Generalizations of the Schwarzschild and Kerr black holes are discussed in an astrophysically viable generalized theory of gravity, which includes higher curvature corrections in the form of the Gauss-Bonnet term, coupled to a dilaton. The…

In order to perform model-dependent tests of general relativity with gravitational wave observations, we must have access to numerical relativity binary black hole waveforms in theories beyond general relativity (GR). In this study, we…

General Relativity and Quantum Cosmology · Physics 2020-01-01 Maria Okounkova

It has long been known that, in higher-dimensional general relativity, there are black hole solutions with an arbitrarily large angular momentum for a fixed mass. We examine the geometry of the event horizon of such ultra-spinning black…

High Energy Physics - Theory · Physics 2011-05-05 Roberto Emparan , Robert C. Myers

In higher-dimensional Schwarzschild black hole spacetimes, there are no stable bound orbits of particles. In contrast to this, it is shown that there are stable bound orbits in a five-dimensional black lens spacetime.

High Energy Physics - Theory · Physics 2019-12-18 Shinya Tomizawa , Takahisa Igata

We consider the motion of massive and massless particles in a five-dimensional spacetime with a compactified extra-dimensional space where a black hole is localized, i.e., a caged black hole spacetime. We show the existence of circular…

General Relativity and Quantum Cosmology · Physics 2021-04-12 Takahisa Igata , Shinya Tomizawa

We present the first example of a linearized gravitational instability of an asymptotically flat vacuum black hole. We study perturbations of a Myers-Perry black hole with equal angular momenta in an odd number of dimensions. We find no…

High Energy Physics - Theory · Physics 2010-12-03 Oscar J. C. Dias , Pau Figueras , Ricardo Monteiro , Harvey S. Reall , Jorge E. Santos

A (3+1)-dimensional Einstein-Gauss-Bonnet effective description of gravity has been recently formulated as the $D \to 4$ limit of the higher dimensional field equations after the rescaling of the coupling constant. This approach has been…

General Relativity and Quantum Cosmology · Physics 2020-08-11 R. A. Konoplya , A. Zhidenko

The stability of five-dimensional singly rotating Myers-Perry Black Holes against massive scalar perturbations is studied. Both the quasibound states and quasinormal modes of the massive scalar field are considered. For the quasibound…

General Relativity and Quantum Cosmology · Physics 2023-09-26 Wenbin Li , Kai-Peng Lu , W. LiMing , Jia-Hui Huang

We study the stability of $D \geq 7$ asymptotically flat black holes rotating in a single two-plane against tensor-type gravitational perturbations. The extensive search of quasinormal modes for these black holes did not indicate any…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Hideo Kodama , R. A. Konoplya , Alexander Zhidenko

Exact solutions describing rotating black holes can offer important tests for alternative theories of gravity, motivated by the dark energy and dark matter problems. We present an analytic rotating black hole solution for a class of…

High Energy Physics - Theory · Physics 2018-04-10 Francesco Filippini , Gianmassimo Tasinato

We investigate the bound orbits of massive/massless, neutral particles and photons moving around regular black holes of Fan and Wang. For massive particles, we show the existence of stable/unstable circular orbits and the charge dependence…

General Relativity and Quantum Cosmology · Physics 2023-04-19 Kenshin Isomura , Ryotaku Suzuki , Shinya Tomizawa
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