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We study linear gravitational perturbations of Schwarzschild spacetime by solving numerically Regge-Wheeler-Zerilli equations in time domain using hyperboloidal surfaces and a compactifying radial coordinate. We stress the importance of…

General Relativity and Quantum Cosmology · Physics 2010-03-26 Anil Zenginoglu

We calculate analytically the asymptotic form of quasi-normal modes of perturbations of arbitrary spin of a Schwarzschild black hole including first-order corrections. We use the Teukolsky equation which applies to both bosonic and…

High Energy Physics - Theory · Physics 2009-11-11 Suphot Musiri , George Siopsis

We systematically investigate the quasinormal modes of thick branes in $f(R)$ gravity by numerically solving the Schr\"odinger-like perturbation equation of gravitational perturbations. To ensure the reliability of the results, we employ…

General Relativity and Quantum Cosmology · Physics 2025-12-22 Yu-Peng E , Chun-Chun Zhu , Yu-Xiao Liu

In this paper, we develop a quantum-optical treatment of acceleration radiation for atoms freely falling into a Schwarzschild black hole when the ambient field is a massive spin-1 (Proca) field. Building on the HBAR framework of Scully and…

General Relativity and Quantum Cosmology · Physics 2026-04-17 Reggie C. Pantig , Ali Övgün

We study the propagation of massless fermionic fields in the background of a three-dimensional Lifshitz black hole, which is a solution of conformal gravity. The black hole solution is characterized by a null dynamical exponent. Then, we…

High Energy Physics - Theory · Physics 2017-09-20 P. A. González , Yerko Vásquez , Ruth Noemi Villalobos

Recently, the anomalous decay rate of quasinormal modes has been studied for some geometries under scalar field perturbations, which occurs when the longest-lived modes are the ones with higher angular number, as well as, the existence of a…

General Relativity and Quantum Cosmology · Physics 2021-03-10 Almendra Aragón , Ramón Bécar , P. A. González , Yerko Vásquez

We study scalar test-field perturbations on top of a Kerr--black-bounce background, i.e. a family of rotating regular black holes and/or rotating traversable wormholes that can mimic Kerr black holes. We compute the quasi-normal modes for a…

General Relativity and Quantum Cosmology · Physics 2022-06-30 Edgardo Franzin , Stefano Liberati , Jacopo Mazza , Ramit Dey , Sumanta Chakraborty

The pure quadratic term of New Massive Gravity in three dimensions admits asymptotically locally flat, rotating black holes. These black holes are characterized by their mass and angular momentum, as well as by a hair of gravitational…

High Energy Physics - Theory · Physics 2019-05-01 Andres Anabalon , Octavio Fierro , Jose Figueroa , Julio Oliva

By using the complex angular momentum approach, we prove that the quasinormal mode complex frequencies of the Schwarzschild black hole are Breit-Wigner type resonances generated by a family of surface waves propagating close to the unstable…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Yves Décanini , Antoine Folacci , Bruce Jensen

Studies of quasinormal modes (QNMs) of black holes have a long and well established history. Predominantly, much research in this area has customarily focused on the equations given by Regge, Wheeler and Zerilli. In this work we study…

General Relativity and Quantum Cosmology · Physics 2025-02-05 Bishop Mongwane , Sipho Nkele , Didam G. A. Duniya , Nigel T. Bishop

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

We study the Schr\"odinger equation which comes from the paraxial approximation of the Helmholtz equation in the case where the direction of propagation is tilted with respect to the boundary of the domain. This model has been proposed in…

Analysis of PDEs · Mathematics 2013-01-21 Marie Doumic Jauffret

The Proca theory of the real massive vector field admits non-equilibrium solutions, where the asymptotic dynamics of the electric field is dominated by the periodically oscillating Coulomb component. We discuss how such field configurations…

High Energy Physics - Phenomenology · Physics 2024-03-29 Bogdan Damski

We revisit the quasinormal mode (QNM) problem in Schwarzschild--de Sitter spacetimes providing a unified infrastructure tailored for studying limiting configurations. Geometrically, we employ the hyperboloidal framework to explicitly…

General Relativity and Quantum Cosmology · Physics 2025-11-25 Yi Zhou , Rodrigo Panosso Macedo

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

This work presents a comparative analysis of the quasi-normal modes and ringdowns of scalar field perturbations in the non-commutative Schwarzschild black hole spacetime, focusing on two distinct non-minimal curvature couplings: in the…

General Relativity and Quantum Cosmology · Physics 2026-05-29 Majid Karimabadi , Davood Mahdavian Yekta , S. A. Alavi

In this paper, we consider the propagation of waves in the space-time of a single black hole with a static Schwarzschild radius in the expanding universe, namely, the solutions of the linear and semilinear Klein-Gordon equations.

Analysis of PDEs · Mathematics 2024-10-22 Karen Yagdjian , Anahit Galstian

We extend previous results on healthy derivative self-interactions for a Proca field to the case of a set of massive vector fields. We obtain non-gauge invariant derivative self-interactions for the vector fields that maintain the…

High Energy Physics - Theory · Physics 2017-03-15 Jose Beltrán Jiménez , Lavinia Heisenberg

In a scalar-vector-gravity theory with the vector sector described by nonlinear electrodynamics, the field equations are integrated using the well-known gravitational decoupling method. The resulting spacetime corresponds to a spherically…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Manuel Gonzalez-Espinoza , Y. Gómez-Leyton , Z. Stuchlik , Francisco Tello-Ortiz

We investigate the propagation of a scalar field in a $(2+1)$-dimensional accelerated black hole, recently revisited in \cite{Arenas_Henriquez_2022}. We briefly describe the minimally-coupled configuration as rendering a trivial scalar…

General Relativity and Quantum Cosmology · Physics 2024-04-16 R. D. B. Fontana , Angel Rincon