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We study the propagation of a massive vector or Proca field on the Schwarzschild spacetime. The field equations are reduced to a one-dimensional wave equation for the odd-parity part of the field and two coupled equations for the…

High Energy Physics - Theory · Physics 2015-05-30 Joao G. Rosa , Sam R. Dolan

In this study, we investigate the quasinormal modes, pseudospectrum and time evolution of a massive vector field around a quantum corrected black hole in de-Sitter spacetime. We start by parameterization and using orthonormal tetrads to get…

General Relativity and Quantum Cosmology · Physics 2025-11-07 Shu Luo

Proca and Maxwell fields in $d$-dimensional Schwarzschild black holes with anti-de Sitter (AdS) asymptotics are investigated through their linear perturbations and associated quasinormal modes (QNMs) with Dirichlet boundary conditions at…

General Relativity and Quantum Cosmology · Physics 2026-05-20 David C. Lopes , Tiago V. Fernandes , José P. S. Lemos

We study the quasinormal modes (QNMs) of dilaton black holes in Einstein-Maxwell-dilaton gravity through a correspondence with the quantum Seiberg-Witten (SW) curve of $\mathcal{N}=2$ SU(2) gauge theory with $N_f=3$ hypermultiplets. By…

High Energy Physics - Theory · Physics 2026-02-13 Jiahui Jiang , Wenhe Cai

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

We study perturbations of massive and massless vector fields on a Schwarzschild black-hole background, including a non-minimal coupling between the vector field and the curvature. The coupling is given by the Horndeski vector-tensor…

General Relativity and Quantum Cosmology · Physics 2022-06-08 Sebastian Garcia-Saenz , Aaron Held , Jun Zhang

We demonstrate the separability of the massive vector (Proca) field equation in general Kerr-NUT-(A)dS black hole spacetimes in any number of dimensions, filling a long-standing gap in the literature. The obtained separated equations are…

High Energy Physics - Theory · Physics 2018-06-13 Valeri P. Frolov , Pavel Krtouš , David Kubizňák , Jorge E. Santos

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 investigate the quasinormal modes (QNMs) of a massive scalar field in the background of a regular black hole arising from the proper-time flow in asymptotically safe gravity. This quantum-corrected geometry, characterized by a…

General Relativity and Quantum Cosmology · Physics 2025-09-23 Milena Skvortsova

We present new analytic results on black hole perturbation theory. Our results are based on a novel relation to four-dimensional $\mathcal{N}=2$ supersymmetric gauge theories. We propose an exact version of Bohr-Sommerfeld quantization…

High Energy Physics - Theory · Physics 2020-06-12 Gleb Aminov , Alba Grassi , Yasuyuki Hatsuda

We consider the perturbations of the massive vector field around Schwarzschild black hole, (generally, with non-vanishing $\Lambda$ - term). The monopole massive vector perturbation equations can be reduced to a single wave-like equation.…

General Relativity and Quantum Cosmology · Physics 2009-11-11 R. A. Konoplya

We perform a first-principles canonical quantization of a massive vector field, often referred to as the Proca field, in a Schwarzschild spacetime background. While scalar, fermionic, and electromagnetic fields are well studied in this…

General Relativity and Quantum Cosmology · Physics 2026-05-27 Chandra Prakash , Rajesh Karmakar

The newly established Seiberg-Witten (SW)/Quasinormal Modes (QNM) correspondence offers an efficient analytical approach to calculate the QNM frequencies, which was only available numerically before. This is based on the fact that both…

High Energy Physics - Theory · Physics 2024-06-05 Xian-Hui Ge , Masataka Matsumoto , Kilar Zhang

We consider Proca field perturbations in a five-dimensional Schwarzschild-anti-de Sitter (Schwarzschild-AdS$_{5}$) black hole geometry. Using the vector spherical harmonic (VSH) method, we show that the Proca field decomposes into…

General Relativity and Quantum Cosmology · Physics 2025-04-02 Julián Barragán Amado , Tiago V. Fernandes , David C. Lopes

The superradiant instability modes of ultralight massive vector bosons are studied for weakly charged rotating black holes in Einstein--Maxwell gravity (the Kerr--Newman solution) and low-energy heterotic string theory (the Kerr--Sen black…

The Proca wave equation describes a classical massive spin 1 particle. We analyze the gravitational interaction of this vector field. In particular, the spherically symmetric solutions of the Einstein-Proca coupled system are obtained…

General Relativity and Quantum Cosmology · Physics 2017-09-27 Yuri N. Obukhov , Eugen J. Vlachynsky

We study the scalar perturbations of asymptotically flat extremal Reissner-Nordstr\"om black holes via the quantum Seiberg-Witten geometry of $\mathcal{N}=2$ SU(2) gauge theory with $N_f=2$ flavors. The radial master equation, governed by a…

High Energy Physics - Theory · Physics 2026-05-18 Yi-Rong Wang , Peng Yang , Kilar Zhang

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 study quasinormal modes and time-domain profiles of a massive scalar field in the background of black holes arising in Einstein--Gauss--Bonnet--Proca gravity. The black holes in this theory possess \emph{primary Proca hair}, which…

General Relativity and Quantum Cosmology · Physics 2025-10-01 B. C. Lütfüoğlu

We study the spectrum of quasinormal mode frequencies for a Proca field on a rotating black hole spacetime. First, we review how the introduction of field mass modifies the spectrum in the scalar-field case, leading to evanescent modes and…

General Relativity and Quantum Cosmology · Physics 2022-02-11 Jake Percival , Sam R Dolan
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