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Related papers: Normal modes of Proca fields in AdS$_d$ spacetime

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Perturbations of asymptotically Anti-de-Sitter (AdS) spacetimes are often considered by imposing field vanishing boundary conditions (BCs) at the AdS boundary. Such BCs, of Dirichlet-type, imply a vanishing energy flux at the boundary, but…

General Relativity and Quantum Cosmology · Physics 2015-12-04 Mengjie Wang , Carlos Herdeiro , Marco O. P. Sampaio

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

We study a massive vector tensor theory that acquires mass via a standard Proca term but also via a higher order term containing an explicit coupling to curvature. We find static solutions that are asymptotically flat, adS or Lifshitz black…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Eugeny Babichev , Christos Charmousis , Mokhtar Hassaine

We unify the dynamics of massive vector (Proca) fields in Schwarzschild spacetime with supersymmetric gauge theories through the Seiberg-Witten/quasinormal mode (SW/QNM) duality. By mapping Proca perturbations-specifically monopole and…

High Energy Physics - Theory · Physics 2025-09-01 Xian-Hui Ge , Masataka Matsumoto , Kilar Zhang

We investigate the decay of a scalar field outside a Schwarzschild anti de Sitter black hole. This is determined by computing the complex frequencies associated with quasinormal modes. There are qualitative differences from the…

High Energy Physics - Theory · Physics 2009-07-09 Gary T. Horowitz , Veronika E. Hubeny

We study scalar condensations around asymptotically Anti-de Sitter(AdS) regular reflecting shells. We show that the charged scalar field can condense around charged reflecting shells with both Dirichlet and Neumann boundary conditions. In…

General Relativity and Quantum Cosmology · Physics 2018-08-29 Yan Peng , Bin Wang , Yunqi Liu

We study massive charged scalar field perturbations in four- and five- dimensional charged anti-de Sitter soliton spacetimes. Appropriate boundary conditions are established via a local analysis of the perturbation equations. The normal…

General Relativity and Quantum Cosmology · Physics 2025-08-07 Mengqi Lu , Ming Zhang , Robert B. Mann

In this thesis we investigate the Proca field in arbitrary globally hyperbolic curved spacetimes. We rigorously construct solutions to the classical Proca equation, including external sources and without restrictive assumptions on the…

Mathematical Physics · Physics 2017-09-04 Maximilian Schambach

We study the Casimir effect in the presence of an extra dimension compactified on a circle of radius R ($M^4\times S^1$ spacetime). Our starting point is the Kaluza Klein decomposition of the 5D Maxwell action into a massless sector…

High Energy Physics - Theory · Physics 2011-04-28 Ariel Edery , Valery Marachevsky

We discuss a general method to study linear perturbations of slowly rotating black holes which is valid for any perturbation field, and particularly advantageous when the field equations are not separable. As an illustration of the method…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Paolo Pani , Vitor Cardoso , Leonardo Gualtieri , Emanuele Berti , Akihiro Ishibashi

The AdS/CFT duality has established a mapping between quantities in the bulk AdS black-hole physics and observables in a boundary finite-temperature field theory. Such a relationship appears to be valid for an arbitrary number of spacetime…

High Energy Physics - Theory · Physics 2009-10-16 Jaqueline Morgan , Vitor Cardoso , Alex S. Miranda , C. Molina , Vilson T. Zanchin

We summarize previous results on the most general Proca theory in 4 dimensions containing only first-order derivatives in the vector field (second-order at most in the associated St\"uckelberg scalar) and having only three propagating…

High Energy Physics - Theory · Physics 2016-09-20 Erwan Allys , Juan P. Beltran Almeida , Patrick Peter , Yeinzon Rodriguez

Greybody factors for Proca fields in Schwarzschild black hole spacetime are investigated. The radial equations are derived by separating the field equations using vector spherical harmonics and decoupling the even-parity sector through…

General Relativity and Quantum Cosmology · Physics 2026-04-10 Supanat Bunjusuwan , Chun-Hung Chen

We study the quasinormal mode of the perturbation of the scalar field interacting with the electromagnetic field in the backgrounds of Schwarzschild AdS black hole, the Reissner-Nordstrom AdS black hole and the Born-Infeld AdS black hole.…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Yunqi Liu , Bin Wang

We derive an expression for the quasinormal modes of scalar perturbations in near extreme d-dimensional Schwarzschild-de Sitter and Reissner-Nordstrom-de Sitter black holes. We show that, in the near extreme limit, the dynamics of the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 C. Molina

Massive scalar perturbations of asymptotically de Sitter black holes in generalized Proca theory display a sharp interplay between primary hair, horizon structure, and field mass. Using high-order WKB calculations supplemented by…

General Relativity and Quantum Cosmology · Physics 2026-05-22 S. V. Bolokhov

In the context of Cartan theory, we will show that the Proca action can be obtained from the Gauss-Bonnet action for a special choice of the torsion tensor. This in fact equivalent to the special case of the 4th vector Galileon Lagrangian.…

General Relativity and Quantum Cosmology · Physics 2018-10-10 Shahab Shahidi

We study Proca stars in a vector-tensor gravity model inspired by Horndeski's generalized Einstein-Maxwell field equations, supplemented with a mass term for the vector field. We discuss the effects of the non-minimal coupling term on the…

General Relativity and Quantum Cosmology · Physics 2022-03-09 Y. Brihaye , B. Hartmann , B. Kleihaus , J. Kunz

Quasinormal modes describe the relaxation of perturbed black holes and relate ringdown observables to the background geometry. In this work we study the problem in a de Sitter setting within a generalized Proca branch that generates an…

General Relativity and Quantum Cosmology · Physics 2026-04-02 Zainab Malik

Advection-diffusion problems of magnetic field and tracer field are analyzed using the field theoretic perturbative renormalization group. Both advected fields are considered to be passive, i.e., without any influence on the turbulent…

Chaotic Dynamics · Physics 2019-09-20 N. V. Antonov , N. M. Gulitskiy , M. M. Kostenko , T. Lučivjanský