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We study the scattering of surface water waves with irrotational draining vortices. At small depth, this system is a mathematical analogue of a rotating black hole and can be used to mimic some of its peculiar phenomenon. Using ray-tracing…

General Relativity and Quantum Cosmology · Physics 2019-02-20 Theo Torres , Antonin Coutant , Sam Dolan , Silke Weinfurtner

We examine the spectrum of a massive scalar particle interacting with the strong gravitational field of a static, spherically symmetric object which is not quite massive enough to be a black hole. As was found in the case of massless…

General Relativity and Quantum Cosmology · Physics 2014-11-20 G. H. Gossel , J. C. Berengut , V. V. Flambaum

An axisymmetric collapse of non-rotating gravitational waves is numerically investigated in the subcritical regime where no black holes form but where curvature attains a maximum and decreases, following the dispersion of the initial wave…

General Relativity and Quantum Cosmology · Physics 2011-01-17 Evgeny Sorkin

We apply the confluent Heun functions to study the resonant frequencies (quasispectrum), the Hawking radiation and the scattering process of scalar waves, in a class of spacetimes, namely, the ones generated by a Kerr-Newman-Kasuya…

General Relativity and Quantum Cosmology · Physics 2016-07-28 H. S. Vieira , V. B. Bezerra

Detection of gravitational waves (GWs) paves the beginning of a new era of gravitational wave astronomy. Black holes (BHs) in their ringdown phase provide the cleanest signal of emitted GWs that imprint the fundamental nature of BHs under…

General Relativity and Quantum Cosmology · Physics 2025-10-28 Rajesh Karmakar , Debaprasad Maity

We study the problem of plane monochromatic scalar waves impinging upon a Schwarzschild dirty black hole -- a Schwarzschild black hole surrounded by a thin spherical shell of matter -- using the complex angular momentum approach. We first…

General Relativity and Quantum Cosmology · Physics 2023-03-15 Theo Torres , Mohamed Ould El Hadj , Shi-Qian Hu , Ruth Gregory

We consider several intriguingly connected topics in the theory of wave propagation: geometrical characterizations of radiationless sources, non-radiating incident waves, interior transmission eigenfunctions, and their applications to…

Analysis of PDEs · Mathematics 2021-03-23 Emilia Blåsten , Hongyu Liu

In this work, we investigate the gravitational wave emission from the periodic orbital motion of a test particle around two specific types of black holes in Einstein-\AE{}ther theory, a modified gravity that locally breaks Lorentz symmetry…

General Relativity and Quantum Cosmology · Physics 2025-05-02 Shuo Lu , Tao Zhu

In this paper we aim to investigate the process of massless scalar wave scattering due to a self-dual black hole through the partial wave method. We calculate the phase shift analytically at the low energy limit and we show that the…

High Energy Physics - Theory · Physics 2020-02-28 M. A. Anacleto , F. A. Brito , J. A. V. Campos , E. Passos

Quantum nature of black hole horizons has been a subject of recent interest and scrutiny. In particular, a near-horizon quantum violation of the equivalence principle has been proposed as a resolution of the black hole information paradox.…

General Relativity and Quantum Cosmology · Physics 2019-02-14 Naritaka Oshita , Niayesh Afshordi

Merger gravitational waves from binary black hole coalescence carry rich information about the underlying spacetime dynamics. We analyze merger waves from comparable-mass and extreme-mass-ratio binaries, obtained from numerical relativity…

General Relativity and Quantum Cosmology · Physics 2025-09-12 Naritaka Oshita , Sizheng Ma , Yanbei Chen , Huan Yang

Astrophysical black holes are embedded in surrounding dark and baryonic matter that can measurably perturb the spacetime. We construct a self-consistent spacetime describing a slowly rotating black hole embedded in an external matter…

General Relativity and Quantum Cosmology · Physics 2026-02-12 Sayak Datta , Chiranjeeb Singha

Fourier power spectra and phases of a signal from a large number of radiating sources orbiting around a black hole are investigated. It is assumed that the individual sources (bright spots) are located in an accretion disc and their…

Astrophysics · Physics 2015-06-24 V. Karas

We derive a relativistic field equation for the trace of the metric perturbation beyond the weak field approximation to the Einstein field equations. The dynamics is governed by a massive Klein-Gordon equation on curved space-time, where…

General Physics · Physics 2025-05-02 Victor Atanasov , Avadh Saxena

Supermassive black holes at the center of each galaxy may be surrounded by dark matter. Such dark matter admits a spike structure and vanishes at a certain distance from the black hole. This dark matter will impact the spacetime near the…

General Relativity and Quantum Cosmology · Physics 2023-08-02 Yuqian Zhao , Bing Sun , Kai Lin , Zhoujian Cao

We study the propagation of massless scalar waves in static, spherically symmetric Lorentz-violating wormhole spacetimes within a geometric-optical framework. Starting from a general metric characterized by an arbitrary lapse function and…

General Relativity and Quantum Cosmology · Physics 2026-02-12 Semra Gurtas Dogan , Omar Mustafa , Abdulkerim Karabulut , Abdullah Guvendi

A toy model based upon the $q$-deformation description for studying the radiation spectrum of black hole is proposed. The starting point is to make an attempt to consider the spacetime noncommutativity in the vicinity of black hole horizon.…

High Energy Physics - Theory · Physics 2008-11-26 Xin Zhang

We study the absorption of monochromatic electromagnetic plane waves impinging upon a Kerr black hole, in the general case that the direction of incidence is not aligned with the black hole spin axis. We present numerical results that are…

General Relativity and Quantum Cosmology · Physics 2018-08-01 Luiz C. S. Leite , Sam Dolan , Luís C. B. Crispino

Gravitational radiation with roughly spherical wavefronts, produced by roughly spherical black holes or other astrophysical objects, is described by an approximation scheme. The first quasi-spherical approximation, describing radiation…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Sean A. Hayward

We study gravitational wave emission from periodic orbits of a test particle around a noncommutative-inspired black hole surrounded by quintessence. Using the zoom-whirl taxonomy, which is characterized by three topological numbers $(z, w,…

General Relativity and Quantum Cosmology · Physics 2026-02-12 Fazlay Ahmed , Qiang Wu , Sushant G Ghosh , Tao Zhu