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We discuss the relation between the superradiance phenomenon and the instability of rotating black holes in higher dimensions. In particular, we point out that the superradiant instability of a massless scalar field around a simply rotating…

High Energy Physics - Theory · Physics 2008-11-26 Hideo Kodama

On the lines of the 4-dimensional Kerr black hole we consider the particle acceleration near a 5-dimensional Kerr black hole which has the two rotation parameters. It turns out that the center of mass energy of the two equal mass colliding…

General Relativity and Quantum Cosmology · Physics 2013-12-12 Ahmadjon Abdujabbarov , Naresh Dadhich , Bobomurat Ahmedov , Husan Eshkuvatov

We use a Monte Carlo code to calculate the geodesic orbits of test particles around Kerr black holes, generating a distribution function of both bound and unbound populations of dark matter particles. From this distribution function, we…

High Energy Astrophysical Phenomena · Physics 2015-06-23 Jeremy D. Schnittman

We find rotating black hole solutions in the Randall-Sundrum II (RSII) model, by numerically solving a three-dimensional PDE problem using pseudospectral collocation methods. We compute the area and equatorial inner-most stable orbits of…

High Energy Physics - Theory · Physics 2022-01-19 William D. Biggs , Jorge E. Santos

The Cauchy problem is considered for the scalar wave equation in the Kerr geometry. We prove that by choosing a suitable wave packet as initial data, one can extract energy from the black hole, thereby putting supperradiance, the wave…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Felix Finster , Niky Kamran , Joel Smoller , Shing-Tung Yau

We consider the propagation of a generic scalar field around a rotating and charged black hole. Using the partial wave method, we find, numerically, the total and partial absorption cross sections for different incidence angles. We…

General Relativity and Quantum Cosmology · Physics 2019-02-27 Carolina L. Benone , Luís C. B. Crispino

In this paper we consider the motion of a rotating black hole through a static, homogeneous, massless scalar field. In the general case, a constant vector of the field gradient can be timelike, spacelike or null. We consider and compare all…

General Relativity and Quantum Cosmology · Physics 2024-08-29 Valeri P. Frolov , Alex Koek

We study the absorption probability and Hawking radiation of the scalar field in the rotating G\"{o}del black hole in minimal five-dimensional gauged supergravity. We find that G\"{o}del parameter $j$ imprints in the greybody factor and…

General Relativity and Quantum Cosmology · Physics 2009-02-20 Songbai Chen , Bin Wang , Jiliang Jing

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

A charge-free, point particle of infinitesimal mass orbiting a Kerr black hole is known to move along a geodesic. When the particle has a finite mass or charge, it emits radiation which carries away orbital energy and angular momentum, and…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Yasushi Mino

WKB approximation methods are applied to the case of a massive scalar field around a 5-dimensional Reissner-Nordstr\"om black hole. The divergences are explicitly isolated and the cancellation against the Schwinger-De Witt counter-terms…

General Relativity and Quantum Cosmology · Physics 2018-02-07 Gonçalo M. Quinta , Antonino Flachi , José P. S. Lemos

We calculate the total flux of Hawking radiation from Kerr-(anti)de Sitter black holes by using gravitational anomaly method developed in gr-qc/0502074. We consider the general Kerr-(anti)de Sitter black holes in arbitrary $D$ dimensions…

High Energy Physics - Theory · Physics 2008-11-26 Zhibo Xu , Bin Chen

As a consequence of Birkhoff's theorem, the exterior gravitational field of a spherically symmetric star or black hole is always given by the Schwarzschild metric. In contrast, the exterior gravitational field of a rotating (axisymmetric)…

General Relativity and Quantum Cosmology · Physics 2022-09-22 R. Meinel

The separated radial part of a massive complex scalar wave equation in the Kerr- Sen geometry is shown to satisfy the generalized spheroidal wave equation which is, in fact, a confluent Heun equation up to a multiplier. The Hawking…

General Relativity and Quantum Cosmology · Physics 2015-06-25 S. Q. Wu , X. Cai

We construct new stationary Ricci-flat metrics of cohomogeneity 2 in five dimensions, which generalise the Myers-Perry rotating black hole metrics by adding a further non-trivial parameter. We obtain them via a construction that is…

High Energy Physics - Theory · Physics 2008-11-26 H. Lu , Jianwei Mei , C. N. Pope

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

This thesis is concerned with the development of a general method to compute renormalised local observables for quantum matter fields, in a given quantum state, on a rotating black hole spacetime. The rotating black hole may be surrounded…

General Relativity and Quantum Cosmology · Physics 2015-09-28 Hugo R. C. Ferreira

Usually alternative theories of gravity imply deviations from the well-known Kerr space-time, a model of an isolated black hole in General Relativity. In the dominant order, the deformed Kerr metric, free of closed time-like curves outside…

General Relativity and Quantum Cosmology · Physics 2013-02-06 R. A. Konoplya , A. Zhidenko

The non-equatorial spherical null geodesics of rotating Kerr black holes are studied analytically. Unlike the extensively studied equatorial circular orbits whose radii are known analytically, no closed-form formula exists in the literature…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Shahar Hod

This paper gives a survey of wave dynamics in the Kerr space-time geometry, the mathematical model of a rotating black hole in equilibrium. After a brief introduction to the Kerr metric, we review the separability properties of linear wave…

Mathematical Physics · Physics 2009-07-25 Felix Finster , Niky Kamran , Joel Smoller , Shing-Tung Yau
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