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This is a study of the scattering and absorption of planar gravitational waves by a Kerr black hole in vacuum. We apply the partial wave method to compute cross sections for the special case of radiation incident along the rotation axis. A…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sam R. Dolan

In a strong electromagnetic field, gravitational waves are converted into electromagnetic waves of the same frequency, and vice versa. Here we calculate the scattering and conversion cross sections for a planar wave impinging upon a…

General Relativity and Quantum Cosmology · Physics 2022-08-03 Mohamed Ould El Hadj , Sam R. Dolan

We consider a compact source of gravitational waves of frequency $\omega$, in or near a massive spherically symmetric distribution of matter or a black hole. Recent calculations have led to apparently contradictory results for the influence…

Astrophysics · Physics 2010-11-30 Richard H. Price , Jorge Pullin , Prasun Kundu

Binary-black-hole orbits precess when the black-hole spins are mis-aligned with the binary's orbital angular momentum. The apparently complicated dynamics can in most cases be described as simple precession of the orbital angular momentum…

General Relativity and Quantum Cosmology · Physics 2020-07-22 Stephen Fairhurst , Rhys Green , Charlie Hoy , Mark Hannam , Alistair Muir

Here we consider two phenomena in the vicinity of a black hole deformed by the tidal gravitational force of surrounding matter and by a strong magnetic field: equatorial motion of charged particles and the decay of a test scalar field. We…

General Relativity and Quantum Cosmology · Physics 2015-03-20 R. A. Konoplya , Yu-Chun Liu

We investigate the interference of electromagnetic long waves passing a binary black hole based on the approximate binary black hole metric. The interference pattern of long waves demonstrates strong contrast intensity and changes with…

General Relativity and Quantum Cosmology · Physics 2024-06-26 Qiyun Fu , Tieyan Si

We show that gravitational-wave astronomy has the potential to inform us on quantum aspects of black holes. Based on Bekenstein's quantization, we find that black hole area discretization could impart observable imprints to the…

General Relativity and Quantum Cosmology · Physics 2021-02-09 Ivan Agullo , Vitor Cardoso , Adrian del Rio , Michele Maggiore , Jorge Pullin

We revisit the problem of scalar and electromagnetic waves impinging upon a Schwarzschild black hole from complex angular momentum techniques. We focus more particularly on the associated differential scattering cross sections. We derive an…

General Relativity and Quantum Cosmology · Physics 2019-06-04 Antoine Folacci , Mohamed Ould El Hadj

We revisit the problem of plane monochromatic gravitational waves impinging upon a Schwarzschild black hole using complex angular momentum techniques. By extending our previous study concerning scalar and electromagnetic waves [A. Folacci…

General Relativity and Quantum Cosmology · Physics 2019-09-06 Antoine Folacci , Mohamed Ould El Hadj

Aspects of super-planckian gravitational scattering and black hole formation are investigated, largely via a partial-wave representation. At large and decreasing impact parameters, amplitudes are expected to be governed by single graviton…

High Energy Physics - Theory · Physics 2008-11-26 Steven B. Giddings , Mark Srednicki

Rainbow, glory and orbiting scattering are usually described by the properties of the classical deflection function related to the real part of the quantum mechanical scattering phase shift or by the diffractive pattern of the quantum…

General Relativity and Quantum Cosmology · Physics 2015-06-12 D. Batic , N. G. Kelkar , M. Nowakowski

A distorted black hole radiates gravitational waves in order to settle down in a smoother geometry. During that relaxation phase, a characteristic damped ringing is generated. It can be theoretically constructed from both the black hole…

General Relativity and Quantum Cosmology · Physics 2016-06-22 Yves Décanini , Antoine Folacci , Mohamed Ould El Hadj

The Kerr spacetime is symmetric with respect to a well-defined equatorial plane. When testing the equatorial reflection symmetry of an isolated black hole, one is at the same time testing the Kerr hypothesis in General Relativity. In this…

General Relativity and Quantum Cosmology · Physics 2024-09-23 Che-Yu Chen , Hung-Yi Pu

The scattering of charged massive scalar waves by Kerr-Newman black holes, with incidence along the equatorial plane, is investigated in this work. The differential scattering cross section is computed using the partial wave method, with…

General Relativity and Quantum Cosmology · Physics 2025-11-27 Qian Li , Qianchuan Wang , Junji Jia

We present an analysis of wave propagation and reflection in an acoustic waveguide with random sound soft boundary and a turning point. The waveguide has slowly bending axis and variable cross section. The variation consists of a slow and…

Analysis of PDEs · Mathematics 2016-09-16 Liliana Borcea , Josselin Garnier

This work investigates the echoes in axial gravitational perturbations in compact objects. To this end, we propose an alternative scheme of the finite difference method implemented in two coordinate systems, where the initial conditions are…

General Relativity and Quantum Cosmology · Physics 2023-09-04 Kai Lin , Wei-Liang Qian

We observe and characterize the scattering of acoustic wave packets by a sunspot, in a regime where the wavelength is comparable to the size of the sunspot. Spatial maps of wave traveltimes and amplitudes are measured from the…

Solar and Stellar Astrophysics · Physics 2010-10-04 Z. -C. Liang , L. Gizon , H. Schunker

We present a fully covariant and gauge-invariant formulation of electromagnetic wave propagation in static, spherically symmetric black hole spacetimes, developed entirely within Schwarzschild-like coordinates. Start ing from the…

General Relativity and Quantum Cosmology · Physics 2026-04-10 Abdullah Guvendi , Omar Mustafa Semra Gurtas Dogan , Hassan Hassanabadi

We study the properties of the outgoing gravitational wave produced when a non-spinning black hole is excited by an ingoing gravitational wave. Simulations using a numerical code for solving Einstein's equations allow the study to be…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Yosef Zlochower , Roberto Gomez , Sascha Husa , Luis Lehner , Jeffrey Winicour

We analyze the gravitational radiation emitted from a particle in circular motion around a Schwarzschild black hole using the framework of quantum field theory in curved spacetime at tree level. The gravitational perturbations are written…

General Relativity and Quantum Cosmology · Physics 2017-04-03 Rafael P. Bernar , Luís C. B. Crispino , Atsushi Higuchi