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Gravitational lensing of luminous matter that surrounds a black hole or some other sufficiently compact object produces an infinite sequence of images. Besides the direct (or primary) image, it comprises demagnified and deformed replicas of…

General Relativity and Quantum Cosmology · Physics 2024-08-21 Fabio Aratore , Oleg Yu. Tsupko , Volker Perlick

We continue our series of papers where we study the quasinormal modes, and their excitation, of black holes in the simplest beyond general relativity model in which first-principle calculations are tractable: a nonrotating black hole in an…

General Relativity and Quantum Cosmology · Physics 2026-04-15 Hector O. Silva , Giovanni Tambalo , Kostas Glampedakis , Kent Yagi

We have studied quasinormal modes of scalar perturbations of a black hole in massive gravity. The parameters of the theory, such as the mass of the black hole, the scalar charge of the black hole and the spherical harmonic index is varied…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Sharmanthie Fernando , Tyler Clark

The deviations of non-linear perturbations of black holes from the linear case are important in the context of ringdown signals with large signal-to-noise ratio. To facilitate a comparison between the two we derive several results of linear…

General Relativity and Quantum Cosmology · Physics 2020-07-15 Maitraya K Bhattacharyya , David Hilditch , K Rajesh Nayak , Hannes R. Rüter , Bernd Bruegmann

In this work we study whether parametrized spherically symmetric black hole solutions in metric theories of gravity can appear to be isospectral when studying perturbations. From a theory agnostic point of view, the test scalar field wave…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Sebastian H. Völkel , Kostas D. Kokkotas

Quasinormal modes of black holes were previously calculated in a non-linear electrodynamics and in the Gauss-Bonnet gravity theory. Here we take into consideration both of the above factors and find quasinormal modes of a (massive) scalar…

General Relativity and Quantum Cosmology · Physics 2020-05-04 M. S. Churilova , Z. Stuchlik

Recently, two models of quantum-corrected Schwarzschild-like black holes were developed within Effective Quantum Gravity, and the spectra of bosonic perturbations have been analyzed in several recent studies. In this work, we investigate…

General Relativity and Quantum Cosmology · Physics 2025-05-08 Zainab Malik

In modified theories of gravity, the potentials appearing in the Schr\"odinger-like equations that describe perturbations of non-rotating black holes are also modified. In this paper we ask: can these modifications be constrained with…

General Relativity and Quantum Cosmology · Physics 2023-05-15 Sebastian H. Völkel , Nicola Franchini , Enrico Barausse , Emanuele Berti

Black holes have their proper oscillations, which are called the quasi-normal modes. The proper oscillations of astrophysical black holes can be observed in the nearest future with the help of gravitational wave detectors. Quasi-normal…

General Relativity and Quantum Cosmology · Physics 2009-05-26 Alexander Zhidenko

From the Schwarzschild metric we obtain the higher-order terms (up to 20-th order) for the deflection of light around a massive object using the Lindstedt-Poincar\'e method to solve the equation of motion of a photon around the stellar…

General Relativity and Quantum Cosmology · Physics 2017-01-20 Carlos Rodriguez , Carlos Marín

We derive a geometrical version of the Regge-Wheeler and Zerilli equations, which allows us to study gravitational perturbations on an arbitrary spherically symmetric slicing of a Schwarzschild black hole. We explain how to obtain the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Olivier Sarbach , Manuel Tiglio

Asymptotic symmetries are known to constrain the infrared behaviour of scattering processes in asymptotically flat spacetimes. By the same token, one expects symmetries of the black hole horizon to constrain near-horizon gravitational…

High Energy Physics - Theory · Physics 2025-01-06 Ankit Aggarwal , Nava Gaddam

From the Reissner-Nordstrom metric we obtain the higher-order terms for the deflection of light around a massive-charged black hole using the Lindstedt-Poincar\'e method to solve the equation of motion of a photon around the compact object.…

General Relativity and Quantum Cosmology · Physics 2019-08-01 Carlos A. Marín , Jorge Poveda

In bimetric gravity, nonbidiagonal solutions describing a static, spherically symmetric, and asymptotically flat black hole are given by a pair of Schwarzschild geometries, one in each metric sector. The two geometries are linked by a…

General Relativity and Quantum Cosmology · Physics 2025-05-12 David Brizuela , Marco de Cesare , Araceli Soler Oficial

We calculate the gravitational perturbations produced by a small mass in eccentric orbit about a much more massive Schwarzschild black hole and use the numerically computed perturbations to solve for the metric. The calculations are…

General Relativity and Quantum Cosmology · Physics 2010-11-23 Seth Hopper , Charles R. Evans

The quasinormal modes of black holes (BHs) in the large-angular-momentum limit can be computed within the eikonal approximation. This approximation is often extrapolated to low angular momentum to obtain a rough estimate of the dominant…

General Relativity and Quantum Cosmology · Physics 2026-03-11 Paolo Pani , Andrea P. Sanna

In this work, quasinormal modes (QNMs) of the Schwarzschild black hole are investigated by taking into account the quantum fluctuations. Gravitational and Dirac perturbations were considered for this case. The Regge-Wheeler gauge and the…

General Relativity and Quantum Cosmology · Physics 2016-04-05 Mahamat Saleh , Bouetou Bouetou Thomas , Kofané Timoléon Crépin

We develop a novel technique through spectral decompositions to study the gravitational perturbations of a black hole, without needing to decouple the linearized field equations into master equations and separate their radial and angular…

General Relativity and Quantum Cosmology · Physics 2023-06-19 Adrian Ka-Wai Chung , Pratik Wagle , Nicolas Yunes

The recent convergence of gravitational-wave (GW) observations and black hole imaging provides complementary probes of strong-gravity dynamics. While the black hole shadow is typically modeled as a static feature, a dynamically perturbed…

High Energy Physics - Theory · Physics 2026-03-03 Reggie C. Pantig

Recent studies based on the notion of black hole pseudospectrum indicated substantial instability of the fundamental and high-overtone quasinormal modes. Besides its theoretical novelty, the details about the migration of the quasinormal…

General Relativity and Quantum Cosmology · Physics 2022-11-23 Shui-Fa Shen , Wei-Liang Qian , Kai Lin , Cheng-Gang Shao , Yu Pan