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We investigate the gravitational lensing effect around a spherically symmetric black hole, whose metric is obtained from the Einstein field equation with electric charge and perfect-fluid dark matter contributing to its energy-momentum…

General Relativity and Quantum Cosmology · Physics 2023-04-13 Xiao-Jun Gao , Xiao-kun Yan , Yihao Yin , Ya-Peng Hu

We study the absorption and scattering of massless scalar waves propagating in spherically symmetric spacetimes with dynamical cosmological constant both in low-energy and high-energy zones. In the former low-energy regime, we solve…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Molin Liu , Benhai Yu , Rumin Wang , Lixin Xu

Photon spheres have attracted considerable interest in the studies of black holes and other astrophysical objects. For different categories of spacetimes (or gravitational sources), the existence of photon spheres and their distributions…

General Relativity and Quantum Cosmology · Physics 2026-02-05 Chen-Kai Qiao , Ping Su , Yang Huang

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

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

Realistic modelling of radiation transfer in and from variable accretion disks around black holes requires the solution of the problem: find the constants of motion and equation of motion of a light-like geodesic connecting two arbitrary…

General Relativity and Quantum Cosmology · Physics 2009-03-01 Andrej Cadez , Uros Kostic

The bell-like ringdown of the gravitational field in the last stage of the merging of massive black holes is now routinely detected on earth by the last generation of gravitational wave detectors. Its spectrum is interpreted as a sum of…

The scattering cross section for a long-wavelength planar gravitational wave impinging upon a rotating black hole is calculated, for the special case in which the direction of incidence is aligned with the rotation axis. We show that black…

General Relativity and Quantum Cosmology · Physics 2008-11-14 Sam R. Dolan

We study the scattering of massless scalar waves by a Kerr black hole by letting plane monochromatic waves impinge on the black hole. We calculate the relevant scattering phase-shifts using the Pruefer phase-function method, which is…

General Relativity and Quantum Cosmology · Physics 2016-08-31 K Glampedakis , N Andersson

We study a collapsing system attracted by a spherically symmetric gravitational source, with an increasing mass, that generates back-reaction effects that are the source of space-time waves. As an example, we consider an exponential…

General Relativity and Quantum Cosmology · Physics 2021-05-07 Jaime Mendoza Hernandez , Mauricio Bellini , Claudia Moreno

The scalar scattering cross section is computed for Schwarzschild-Tangherlini black holes on the brane. The cross sections are computed numerically via the partial-wave method. The phase shifts are found numerically and also via the Born…

General Relativity and Quantum Cosmology · Physics 2017-01-13 Cássio I. S. Marinho , Ednilton S. de Oliveira

In our work, we present a calculation based on an exact, non-approximated wave equation, as described by the Teukolsky equation, for a Taub-NUT-de Sitter spacetime. We observe the scattering of a monochromatic point source by an observer…

General Relativity and Quantum Cosmology · Physics 2026-01-07 Felix Willenborg

The photon sphere concept in Schwarzschild space-time is generalized to a definition of a photon surface in an arbitrary space-time. A photon sphere is then defined as an SO(3)xR-invariant photon surface in a static spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2010-02-22 Clarissa-Marie Claudel , K. S. Virbhadra , G. F. R. Ellis

We present a study of scattering of massless planar scalar waves by a charged non-rotating black hole. Partial wave methods are applied to compute scattering and absorption cross sections, for a range of incident wavelengths. We compare our…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Luis C. B. Crispino , Sam R. Dolan , Ednilton S. Oliveira

The geometrical-optics expansion reduces the problem of solving wave equations to one of solving transport equations along rays. Here we consider scalar, electromagnetic and gravitational waves propagating on a curved spacetime in general…

General Relativity and Quantum Cosmology · Physics 2018-06-25 Sam R Dolan

The effect of the existence of tails on the propagation of scalar waves in curved space-time is considered via an analysis of flux integrals of the energy-stress-momentum tensor of the waves. The geometric optics approximation is formulated…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Brien C. Nolan

We study the strongly singular volume integral equation that describes the scattering of time-harmonic electromagnetic waves by a penetrable obstacle. We consider the case of a cylindrical obstacle and fields invariant along the axis of the…

Analysis of PDEs · Mathematics 2015-09-30 Martin Costabel , Eric Darrigrand , Hamdi Sakly

We consider a situation in which light emitted from the neighborhood of a binary interacts with gravitational waves from the binary (e.g., a supermassive black hole binary in a quasar, a binary pulsar, etc.). The effect is cumulative over…

General Relativity and Quantum Cosmology · Physics 2025-05-20 Dong-Hoon Kim

Gravitational waves emitted from compact binary coalescence can be subject to wave diffraction if they are gravitationally lensed by an intervening mass clump whose Schwarzschild timescale matches the wave period. Waves in the ground-based…

General Relativity and Quantum Cosmology · Physics 2018-11-28 Liang Dai , Shun-Sheng Li , Barak Zackay , Shude Mao , Youjun Lu

In this paper, we consider the Schwarzschild-Tangherlini black hole to investigate the process of scalar wave scattering by the black hole in a spacetime of (d + 1) dimensions and also with the generalized uncertainty principle (GUP). In…

General Relativity and Quantum Cosmology · Physics 2024-07-11 M. A. Anacleto , J. A. V. Campos , F. A. Brito , E. Maciel , E. Passos