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Related papers: On Born approximation in black hole scattering

200 papers

We analyze quasinormal modes, grey-body factors, and absorption cross-sections of a massive scalar field in four-dimensional Einstein--Gauss--Bonnet black-hole spacetimes within a stability-constrained coupling window. High-order WKB-Pad\'e…

General Relativity and Quantum Cosmology · Physics 2026-03-26 Bekir Can Lütfüoğlu

We discuss simple integration methods for the calculation of rotating black hole scattering resonances both in the complex frequency plane (quasinormal modes) and the complex angular momentum plane (Regge poles). Our numerical schemes are…

General Relativity and Quantum Cosmology · Physics 2009-11-10 K. Glampedakis , N. Andersson

This paper aims to investigate the scattering of fermions by spherically symmetric MOG black holes, which are a type of black holes encountered in scalar-tensor-vector modified gravitational theories. After determining the scattering modes…

General Relativity and Quantum Cosmology · Physics 2020-02-27 Ciprian A. Sporea

The Klein-Gordon equation for the wave function of a single massive scalar is written in spherical and parabolic coordinates in the presence of a Schwarzschild background, and some semi-classical techniques for deriving asymptotic results…

General Relativity and Quantum Cosmology · Physics 2011-06-15 Derek Lee

A new branch of quasinormal modes for a massless scalar field propagating on the Schwarzschild spacetime was recently announced [1807.04513]. We review the quasinormal modes characterisation and arguments and identify the flaws in their…

General Relativity and Quantum Cosmology · Physics 2019-04-24 Rodrigo Panosso Macedo

It is known that the imaginary parts of the quasi normal mode (QNM) frequencies for the Schwarzschild black hole are evenly spaced with a spacing that depends only on the surface gravity. On the other hand, for massless minimally coupled…

General Relativity and Quantum Cosmology · Physics 2009-11-10 T. Roy Choudhury , T. Padmanabhan

We study the absorption and scattering of massless scalar waves by Frolov black holes, a regular deformation of the Reissner--Nordstr\"om geometry. A null-geodesic analysis provides the photon-sphere radius and the critical impact…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Jining Tang , Yang Huang , Hongsheng Zhang

In this paper, we analyze the scalar field (quasi-)normal modes of recently derived rotating black holes within the framework of Einstein-Gauss-Bonnet theory at the Chern-Simons point in five dimensions. We also examine the mode spectrum of…

The expression of the impact parameter, in the analysis for classical and semiclassical scattering cross sections for black holes, is obtained with nonlinear electrodynamics (NLED) while the absorption section is studied with the sinc…

General Relativity and Quantum Cosmology · Physics 2020-01-29 J. C. Olvera , L. A. López

We study explicit formulas for phaseless inverse scattering in the Born approximation at high energies for the Schr\"odinger equation with compactly supported potential in dimension d $\ge$ 2. We obtain error estimates for these formulas in…

Analysis of PDEs · Mathematics 2016-12-13 Alexey Agaltsov , Roman Novikov

The quasi-bound states of charged massive scalar fields in the near-extremal charged Reissner-Nordstr\"om black-hole spacetime are studied {\it analytically}. These discrete resonant modes of the composed black-hole-field system are…

High Energy Physics - Theory · Physics 2017-06-08 Shahar Hod

This study revisits the absorption and scattering process by which a massless scalar field impinges on a charged dilatonic black hole. First, we review the classical analysis to obtain the deflection angle and the differential scattering…

General Relativity and Quantum Cosmology · Physics 2022-03-28 Martín G. Richarte , Ébano L. Martins , Júlio C. Fabris

Black holes provide a natural laboratory to study particle physics and astrophysics. When black holes are surrounded by matter fields, there will be plenty of phenomena which can have observational consequences, from which we can learn…

General Relativity and Quantum Cosmology · Physics 2023-02-22 Zhen Li

In this paper we consider spin-3/2 fields in a $D$-dimensional Reissner-Nordstr\"om black hole spacetime. As these spacetimes are not Ricci-flat, it is necessary to modify the covariant derivative to the supercovariant derivative, by…

General Relativity and Quantum Cosmology · Physics 2018-01-31 C. -H. Chen , H. T. Cho , A. S. Cornell , G. Harmsen , X. Ngcobo

We study quasinormal modes for massive scalar fields in Schwarzschild-anti-de Sitter black holes. When the mass-squared is above the Breitenlohner-Freedman bound we show that for large angular momenta, $\ell$, there exist quasinormal modes…

Spectral Theory · Mathematics 2013-08-13 Oran Gannot

We study quasinormal modes, including the quasi-resonant regime, grey-body factors, and absorption cross sections of a massive scalar field in a Reissner--Nordstr\"om-like brane-world black hole endowed with a tidal-charge parameter induced…

General Relativity and Quantum Cosmology · Physics 2026-05-06 Zainab Malik

We consider effects of non-uniformity of quasi-spherical small black hole horizons on scattering massless spineless particles in the long-wave approximation. Focusing on 4D flat and AdS neutral black hole backgrounds with conformally…

General Relativity and Quantum Cosmology · Physics 2016-08-15 Tatiana Moskalets , Alexei Nurmagambetov

In this article we prove the existence of the Born approximation in the context of the radial Calder\'on problem for Schr\"odinger operators. The Born approximation naturally appears as the linear component of a factorization of the…

Analysis of PDEs · Mathematics 2025-10-10 Thierry Daudé , Fabricio Macià , Cristóbal J. Meroño , François Nicoleau

We derive an expression for the quasinormal modes of scalar perturbations in near extreme d-dimensional Schwarzschild-de Sitter and Reissner-Nordstrom-de Sitter black holes. We show that, in the near extreme limit, the dynamics of the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 C. Molina

We employ a recently developed spectral method to obtain the spectrum of quasinormal modes of rapidly rotating black holes in alternative theories of gravity and apply it to the black holes of shift-symmetric Einstein-scalar-Gauss-Bonnet…

General Relativity and Quantum Cosmology · Physics 2025-12-03 Fech Scen Khoo , Jose Luis Blázquez-Salcedo , Burkhard Kleihaus , Jutta Kunz