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We discuss a systematic method of analytically calculating the asymptotic form of quasi-normal frequencies of a four-dimensional Schwarzschild black hole by expanding around the zeroth-order approximation to the wave equation proposed by…

High Energy Physics - Theory · Physics 2009-11-10 Suphot Musiri , George Siopsis

We investigate the influence of vacuum polarization of quantum massive fields on the scalar sector of quasinormal modes in spherically symmetric black holes. We consider the evolution of a massless scalar field on the spacetime…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Owen Pavel Fernandez Piedra , Jeferson de Oliveira

We compute quasinormal mode frequencies for static limits of physical black holes - semi-classical black hole solutions to Einstein-Hilbert gravity characterized by the finite formation time of an apparent horizon and its weak regularity.…

General Relativity and Quantum Cosmology · Physics 2024-11-11 Fil Simovic , Daniel R. Terno

We present a fully covariant and gauge-invariant formulation of electromagnetic wave propagation in static, spherically symmetric black hole spacetimes, developed entirely within Schwarzschild-like coordinates. Start ing from the…

General Relativity and Quantum Cosmology · Physics 2026-04-10 Abdullah Guvendi , Omar Mustafa Semra Gurtas Dogan , Hassan Hassanabadi

For a massive vector field with derivative self-interactions, the breaking of the gauge invariance allows the propagation of a longitudinal mode in addition to the two transverse modes. We consider generalized Proca theories with…

General Relativity and Quantum Cosmology · Physics 2016-05-18 Antonio De Felice , Lavinia Heisenberg , Ryotaro Kase , Shinji Tsujikawa , Ying-li Zhang , Gong-Bo Zhao

We investigate the intrinsic uncertainty in the accuracy to which a static spacetime can be measured from scattering experiments. In particular, we focus on the Schwarzschild black hole and a spatially kinked metric that has some…

Quantum Physics · Physics 2014-07-16 Jason Doukas , Luke Westwood , Daniele Faccio , Andrea Di Falco , Ivette Fuentes

In beyond-generalized Proca theories including the extension to theories higher than second order, we study the role of a spatial component $v$ of a massive vector field on the anisotropic cosmological background. We show that, as in the…

General Relativity and Quantum Cosmology · Physics 2016-11-15 Lavinia Heisenberg , Ryotaro Kase , Shinji Tsujikawa

The QED vacuum polarization in external monochromatic plane-wave electromagnetic fields is calculated with spatial and temporal variations of the external fields being taken into account. We develop a perturbation theory to calculate the…

High Energy Physics - Phenomenology · Physics 2019-12-06 Akihiro Yatabe , Shoichi Yamada

We develop a new perturbation method to study the dynamics of massive tensor fields on extremal and near-extremal static black hole spacetimes in arbitrary dimensions. On such backgrounds, one can classify the components of massive tensor…

General Relativity and Quantum Cosmology · Physics 2019-08-14 Vitor Cardoso , Takahisa Igata , Akihiro Ishibashi , Kodai Ueda

We adopt Leaver's method to determine quasi normal frequencies of the Schwarzschild black hole in higher (D >= 10) dimensions. In D-dimensional Schwarzschild metric, when D increases, more and more singularities, spaced uniformly on the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Andrzej Rostworowski

We present a new vector field approach to almost-sharp decay for the wave equation on spherically symmetric, stationary and asymptotically flat spacetimes. Specifically, we derive a new hierarchy of higher-order weighted energy estimates by…

Analysis of PDEs · Mathematics 2019-01-17 Yannis Angelopoulos , Stefanos Aretakis , Dejan Gajic

A strong background field will change the vacuum structure and the proper basis of a system drastically in both classical and quantum mechanics, e.g. the Landau levels in a background magnetic field. The situation is the same for the…

High Energy Physics - Theory · Physics 2021-11-17 Tian Xu , Yin Jiang

It is shown how the gauge of the ``regular finite initial value problem at spacelike infinity'' can be used to construct a certain type of estimates for the Maxwell field propagating on a Schwarzschild background. These estimates are…

General Relativity and Quantum Cosmology · Physics 2008-02-29 Juan A. Valiente Kroon

We compute the quasinormal frequencies for scalar and electromagnetic perturbations of an improved Schwarzschild geometry in the framework of asymptotically safe gravity, which is one of the approaches to quantum gravity. Adopting the…

General Relativity and Quantum Cosmology · Physics 2020-07-03 Angel Rincon , Grigoris Panotopoulos

The ringdown of perturbed black holes has been studied since the 1970s, but until recently, studies have focused on linear perturbations. There is now burgeoning interest in nonlinear perturbative effects during ringdown. Here, using a…

General Relativity and Quantum Cosmology · Physics 2025-03-11 Patrick Bourg , Rodrigo Panosso Macedo , Andrew Spiers , Benjamin Leather , Bonga Béatrice , Adam Pound

We analytically investigate the quasinormal modes of the massive scalar field with a nonminimal coupling in the higher-dimensional de Sitter black hole with a single rotation. According to the separated scalar field equation, the boundary…

General Relativity and Quantum Cosmology · Physics 2019-12-25 Bogeun Gwak

In this paper, we prove the existence of global in time small data solutions of semilinear Klein-Gordon equations in space-time with a static Schwarzschild radius in the expanding universe.

Analysis of PDEs · Mathematics 2024-08-19 Karen Yagdjian

We review recent calculations of quasinormal modes and asymptotic tails of the Bardeen spacetime interpreted as a quantum corrected Schwarzschild-like black holes. Massless electromagnetic and Dirac fields and massive scalar field are…

General Relativity and Quantum Cosmology · Physics 2023-11-15 Dmitriy Ovchinnikov

In this paper we follow an effective theory approach to study the nonrelativistic limit of a selfgravitating and selfinteracting massive vector field. Our effective theory is characterized by three parameters: the field's mass $m_0$ and the…

General Relativity and Quantum Cosmology · Physics 2025-03-28 Emmanuel Chávez Nambo , Alberto Diez-Tejedor , Edgar Preciado-Govea , Armando A. Roque , Olivier Sarbach

We investigate the scalar, gravitational, and electromagnetic quasinormal mode spectra of Schwarzschild anti-de Sitter black holes using the numerical continued fraction method. The spectra have similar, almost linear structures. With a few…

General Relativity and Quantum Cosmology · Physics 2023-02-01 Ramin G. Daghigh , Michael D. Green , Jodin C. Morey