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Spacetime perturbations due to scalar, vector, and tensor fields on a fixed background geometry can be described in the framework of Teukolsky's equation. In this work, wave scattering is treated analytically, using the Green's function…

General Relativity and Quantum Cosmology · Physics 2024-02-26 Felix Willenborg , Dennis Philipp , Claus Lämmerzahl

We establish an exact formulation for wave scattering of a massless field with spin and charge by a Kerr-Newman-de Sitter black hole. Our formulation is based on the exact solution of the Teukolsky equation in terms of the local Heun…

General Relativity and Quantum Cosmology · Physics 2021-08-31 Hayato Motohashi , Sousuke Noda

We study scattering of waves by black holes. Solving a massless scalar field with a point source in the Schwarzschild spacetime, waves scattered by the black hole is obtained numerically. We then reconstruct images of the black hole from…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Ken-ichiro Kanai , Yasusada Nambu

We study scattering coefficients in black hole spacetimes using analytic properties of complexified wave equations. For a concrete example, we analyze the singularities of the Teukolsky equation and relate the corresponding monodromies to…

High Energy Physics - Theory · Physics 2015-06-15 Alejandra Castro , Joshua M. Lapan , Alexander Maloney , Maria J. Rodriguez

We investigate the wave optics in the Schwarzschild spacetime. Applying the standard formalism of wave scattering problems, the Green function represented by the sum over the partial waves is evaluated using the Poisson sum formula. The…

General Relativity and Quantum Cosmology · Physics 2016-03-23 Yasusada Nambu , Sousuke Noda

This paper has three parts. In first step we use modified scalar tensor vector Brans Dicke gravity \cite{GH0} to obtain metric solution of a spherically symmetric static black hole via perturbation method which asymptotically behaves as…

General Physics · Physics 2022-01-19 Hossein Ghaffarnejad

We investigate the wave optics in spherically symmetric spacetimes: Schwarzschild black hole, spherical star with a perfect absorbing surface, and massless/massive Ellis wormholes. Assuming a point wave source, wave pattern and power…

General Relativity and Quantum Cosmology · Physics 2019-09-25 Yasusada Nambu , Sousuke Noda , Yuichiro Sakai

Black hole (BH) perturbation theory and the scattering models provide a powerful framework for studying gravitational lensing at the wave-optics level. However, conventional calculations encountered two issues: the divergence of the…

General Relativity and Quantum Cosmology · Physics 2025-12-02 Zhao Li , Wen Zhao

In this paper we study wave propagation and scattering near a rotating black hole. In particular, we assume a coherent emission source near the black hole and investigate the wavefront distortion as seen by a distant observer. Near the…

General Relativity and Quantum Cosmology · Physics 2014-08-05 Huan Yang , Marc Casals

We utilize three complementary approaches to pinpoint the exact form of scattering amplitudes in Schwarzschild spacetime. First, we solve the Regge-Wheeler equation perturbatively in the small-frequency regime. We use the obtained solutions…

High Energy Physics - Theory · Physics 2024-09-26 Gleb Aminov , Paolo Arnaudo

We investigate Hawking radiation from black holes in (d+1)-dimensional anti-de Sitter space. We focus on s-waves, make use of the geometrical optics approximation, and follow three approaches to analyze the radiation. First, we compute a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Samuli Hemming , Esko Keski-Vakkuri

The asymptotic nature of unbound binary-black-hole encounters provides a clean method for comparing different approaches for modeling the two-body problem in general relativity. In this work, we use numerical relativity simulations of…

General Relativity and Quantum Cosmology · Physics 2025-12-11 Oliver Long , Harald P. Pfeiffer , Lawrence E. Kidder , Mark A. Scheel

This paper employs the backward ray tracing method to study the optical images of neutron stars under the conditions of a spherical light source and a thin accretion disk, considering a polynomial equation of state given by $p = K \rho^{1 +…

General Relativity and Quantum Cosmology · Physics 2026-01-13 Chen-Yu Yang , Xiao-Xiong Zeng

The scattering of massless waves of helicity $|h|=0,\frac{1}{2},1$ in Schwarzschild and Kerr backgrounds is revisited in the long-wavelenght regime. Using a novel description of such backgrounds in terms of gravitating massive particles, we…

High Energy Physics - Theory · Physics 2023-02-22 Yilber Fabian Bautista , Alfredo Guevara , Chris Kavanagh , Justin Vines

Recent gravitational wave detections from black hole mergers have underscored the critical role black hole perturbation theory and the Teukolsky equation play in understanding the behaviour of black holes. The separable nature of the…

General Relativity and Quantum Cosmology · Physics 2024-06-14 Andrew Spiers

We use Heun type solutions given in \cite{Suzuki} for the radial Teukolsky equation, written in the background metric of the Kerr-Newman-de Sitter geometry, to calculate the quasinormal frequencies for polynomial solutions and the…

General Relativity and Quantum Cosmology · Physics 2021-01-05 M. Hortacsu

Gravitational waves can teach us not only about sources and the environment where they were generated, but also about the gravitational interaction itself. Here we study the features of gravitational radiation produced during the scattering…

General Relativity and Quantum Cosmology · Physics 2018-02-28 Seth Hopper , Vitor Cardoso

We develop a scattering theory for the linear wave equation $\Box_g \psi = 0$ on the interior of Reissner-Nordstr\"om black holes, connecting the fixed frequency picture to the physical space picture. Our main result gives the existence,…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Christoph Kehle , Yakov Shlapentokh-Rothman

We present a new method for the calculation of black hole perturbations induced by extended sources in which the solution of the nonlinear hydrodynamics equations is coupled to a perturbative method based on Regge-Wheeler/Zerilli and…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Valeria Ferrari , Leonardo Gualtieri , Luciano Rezzolla

We describe a unitary scattering process, as observed from spatial infinity, of massless scalar particles on an asymptotically flat Schwarzschild black hole background. In order to do so, we split the problem in two different regimes…

High Energy Physics - Theory · Physics 2021-07-21 Panos Betzios , Nava Gaddam , Olga Papadoulaki
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