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Massive scalar test fields around Kerr black holes can form quasi-bound states with complex frequencies. Some of these states decay in time, but some others -- in the superradiant regime -- grow, causing a superradiant instability.…

General Relativity and Quantum Cosmology · Physics 2014-09-10 Marco O. P. Sampaio , Carlos Herdeiro , Mengjie Wang

We study a massive-photon electrodynamics and magnetohydrodynamics (MHD) in the curved spacetime of Einstein's gravity. We consider a Proca-type photon mass and present equations in terms of electric and magnetic (EM) fields and the vector…

General Relativity and Quantum Cosmology · Physics 2026-01-15 Jai-chan Hwang , Hyerim Noh

We study the superradiant instability of massive vector fields, i.e. Proca fields, around spinning black holes in the test field limit. This is motivated by the possibility that observations of astrophysical black holes can probe the…

General Relativity and Quantum Cosmology · Physics 2017-07-11 William E. East

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

We study quasinormal modes of a massive scalar field in the background of the regular, quantum-corrected Bonanno-Reuter black hole, which arises from the renormalization group improvement of the Schwarzschild solution within the framework…

General Relativity and Quantum Cosmology · Physics 2026-05-29 Zainab Malik

Using the Green's function representation technique, the late time behavior of localized scalar field distributions on Schwarzschild spacetimes is studied. Assuming arbitrary initial data we perform a spectral analysis, computing the…

General Relativity and Quantum Cosmology · Physics 2014-04-23 Juan Barranco , Argelia Bernal , Juan Carlos Degollado , Alberto Diez-Tejedor , Miguel Megevand , Miguel Alcubierre , Dario Nunez , Olivier Sarbach

We evaluate both the massless and the massive Dirac quasi-normal mode frequencies in the Schwarzschild black hole spacetime using the WKB approximation. For the massless case, we find that, similar to those for the integral spin fields, the…

General Relativity and Quantum Cosmology · Physics 2009-09-29 Hing Tong Cho

The large dimension ($D$) limit of general relativity has been used in problems involving black holes as an analytical approximation tool. Further it has been proposed that both linear and nonlinear problems involving black holes can be…

High Energy Physics - Theory · Physics 2018-10-23 Amruta Sadhu , Vardarajan Suneeta

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

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

We study the perturbations of scalar, vector, and tensor fields in a slowly rotating Kerr-(Anti-)de Sitter black hole spacetime, presenting new and existing Schr\"odinger style master equations for each type of perturbation up to linear…

General Relativity and Quantum Cosmology · Physics 2018-12-06 Oliver J. Tattersall

Massive vector fields feature in several areas of particle physics, e.g., as carriers of weak interactions, dark matter candidates, or as an effective description of photons in a plasma. Here we investigate vector fields with…

General Relativity and Quantum Cosmology · Physics 2022-10-14 Katy Clough , Thomas Helfer , Helvi Witek , Emanuele Berti

We study the neutral massive Maxwell (Proca) equation on subextremal Reissner--Nordstr\"om exteriors. After spherical-harmonic decomposition, the odd sector is scalar, while the even sector remains a genuinely coupled $2\times2$ system. Our…

Analysis of PDEs · Mathematics 2026-03-26 Bobby Eka Gunara

We consider the initial value problem for a massless scalar field in the Schwarzschild geometry. When constructed using a complex-frequency approach the necessary Green's function splits into three components. We discuss all of these in…

General Relativity and Quantum Cosmology · Physics 2016-08-24 Nils Andersson

To seek a deeper understanding of wave propagation on the Schwarzschild spacetime, we investigate the relationship between (i) the lightcone of an event and its caustics (self-intersections), (ii) the large-$l$ asymptotics of quasinormal…

General Relativity and Quantum Cosmology · Physics 2011-11-03 Sam R. Dolan , Adrian C. Ottewill

Using the method of covariant symbols we compute the divergent part of the effective action of the Proca field with non-minimal mass term. Specifically a quantum Abelian vector field with a non-derivative coupling to an external tensor…

High Energy Physics - Theory · Physics 2019-06-26 C. Garcia-Recio , L. L. Salcedo

We have studied quasinormal modes of spinor $\frac{1}{2}$, massless Dirac field 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, mode…

General Relativity and Quantum Cosmology · Physics 2015-09-23 Sharmanthie Fernando

We introduce a non-linear extension of Proca's field theory for massive vector (spin $1$) bosons. The associated relativistic nonlinear wave equation is related to recently advanced nonlinear extensions of the Schroedinger, Dirac, and…

General Physics · Physics 2016-07-20 F. D. Nobre , A. R. Plastino

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

We perform the study of perturbative aspects of a three-dimensional supersymmetric Maxwell-Chern-Simons-Proca theory minimally coupled to scalar superfields. Using the superfield formalism, we derive the propagators for both gauge and…

High Energy Physics - Theory · Physics 2025-06-10 A. C. Lehum , J. R. Nascimento , A. C. Pina Neto , A. Yu. Petrov