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We apply the Hamiltonian formalism to investigate the massless sector of scalar field theory coupled with Maxwell electrodynamics through the Pontryagin term. Specifically, we analyze asymptotic symmetries at the null infinity of this…

High Energy Physics - Theory · Physics 2024-12-20 Hernán A. González , Oriana Labrin , Olivera Miskovic

In this article we address the question of asymptotic symmetry of massless scalar field at null infinity. We slightly generalize notion of asymptotic symmetry in order to make sense for the theory without gauge symmetry. Derivations of the…

High Energy Physics - Theory · Physics 2023-10-26 Dejan Simić

We analyse the asymptotic symmetries of Maxwell theory at spatial infinity through the Hamiltonian formalism. Precise, consistent boundary conditions are explicitly given and shown to be invariant under asymptotic angle-dependent…

High Energy Physics - Theory · Physics 2018-05-30 Marc Henneaux , Cédric Troessaert

The asymptotic charges of spin-1 and spin-2 fields are studied near spatial infinity. We evaluate the charges at the critical sets where spatial infinity meets null infinity with the aim of finding the relation between the charges at future…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Mariem Magdy , Juan A. Valiente Kroon

Matching conditions relating the fields at the future of past null infinity with the fields at the past of future null infinity play a central role in the analysis of asymptotic symmetries and conservation laws in asymptotically flat…

General Relativity and Quantum Cosmology · Physics 2024-12-09 Oscar Fuentealba , Marc Henneaux

On any asymptotically-flat spacetime, we show that the asymptotic symmetries and charges of Maxwell fields on past null infinity can be related to those on future null infinity as recently proposed by Strominger. We extend the covariant…

General Relativity and Quantum Cosmology · Physics 2018-10-22 Kartik Prabhu

The behaviour of the Maxwell field near one of the spatial infinities of the Schwarzschild solution is analysed by means of the transport equations implied by the Maxwell equations on the cylinder at spatial infinity. Initial data for the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 JA Valiente Kroon

In this work, we investigate a Maxwell-scalar model that couples the scalar and gauge fields through the electric permittivity and another model, in which the scalar field lives in the presence of impurity. By considering a single spatial…

High Energy Physics - Theory · Physics 2023-10-17 I. Andrade , D. Bazeia , M. A. Marques , R. Menezes

An asymptotic investigation of monochromatic electromagnetic fields in a layered periodic medium is carried out under the assumption that the wave frequency is close to the frequency of a stationary point of the dispersion surface. We find…

Mathematical Physics · Physics 2016-05-10 Maria V. Perel , Mikhail S. Sidorenko

We use conformal geometry methods and the construction of Friedrich's cylinder at spatial infinity to study the propagation of spin-$0$ fields (solutions to the wave equation) on $n$-dimensional Minkowski spacetimes in a neighbourhood of…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Edgar Gasperín , Mariem Magdy , Filipe C. Mena

Recent work in the literature has studied a version of non-commutative Schwarzschild black holes where the effects of non-commutativity are described by a mass function depending on both the radial variable r and a non-commutativity…

High Energy Physics - Theory · Physics 2008-11-26 Elisabetta Di Grezia , Giampiero Esposito , Gennaro Miele

Relativistic field theories with a power law decay in $r^{-k}$ at spatial infinity generically possess an infinite number of conserved quantities because of Lorentz invariance. Most of these are not related in any obvious way to symmetry…

High Energy Physics - Theory · Physics 2019-06-26 Marc Henneaux , Cedric Troessaert

We consider the appearance of multiple scalar fields in SFT inspired non-local models with a single scalar field at late times. In this regime all the scalar fields are free. This system minimally coupled to gravity can be analyzed…

High Energy Physics - Theory · Physics 2011-01-24 Federico Galli , Alexey S. Koshelev

Linear perturbations on Minkowski space are used to probe numerically the remote region of an asymptotically flat space-time close to spatial infinity. The study is undertaken within the framework of Friedrich's conformal field equations…

General Relativity and Quantum Cosmology · Physics 2013-02-04 Florian Beyer , Georgios Doulis , Jörg Frauendiener , Ben Whale

We apply the method of matched asymptotic expansions to analyse whether cosmological variations in physical `constants' and scalar fields are detectable, locally, on the surface of local gravitationally bound systems such as planets and…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Douglas J. Shaw , John D. Barrow

The asymptotic symmetry analysis of Maxwell theory at spatial infinity of Minkowski space with $d\geq 3$ is performed. We revisit the action principle in de Sitter slicing and make it well-defined by an asymptotic gauge fixing. In…

High Energy Physics - Theory · Physics 2020-01-08 Erfan Esmaeili

We study the singularity created in the supercritical collapse of a spherical massless scalar field. We first model the geometry and the scalar field to be homogeneous, and find a generic solution (in terms of a formal series expansion)…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Lior M. Burko

The physical meaning, the properties and the consequences of a discrete scalar field are discussed; limits for the validity of a mathematical description of fundamental physics in terms of continuous fields are a natural outcome of discrete…

High Energy Physics - Theory · Physics 2007-05-23 Manoelito M. de Souza

The effect of the massless gravitational scalar field assumed to couple directly to the Maxwell field to the solar-system experiments is estimated. We start with discussing the theoretical significances of this coupling. Rather…

Astrophysics · Physics 2008-11-26 Yasunori Fujii , Misao Sasaki

We prove small data energy estimates of all orders of differentiability between past null infinity and future null infinity of de Sitter space for the conformally invariant Maxwell-scalar field system. This allows us to construct bounded…

Analysis of PDEs · Mathematics 2025-07-17 Grigalius Taujanskas
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