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We discuss the issue of radiation extraction in asymptotically flat space-times within the framework of conformal methods for numerical relativity. Our aim is to show that there exists a well defined and accurate extraction procedure which…

广义相对论与量子宇宙学 · 物理学 2009-10-31 J. Frauendiener

We review the proof of existence and uniqueness of solutions of the Maxwell-Schr"odinger system in a neighborhood of infinity in time, with prescribed asymptotic behaviour defined in terms of asymptotic data, without any restriction on the…

偏微分方程分析 · 数学 2008-04-04 J. Ginibre , G. Velo

A definition of asymptotic flatness at spatial infinity in $d$ dimensions ($d\geq 4$) is given using the conformal completion approach. Then we discuss asymptotic symmetry and conserved quantities. As in four dimensions, in $d$ dimensions…

广义相对论与量子宇宙学 · 物理学 2009-11-19 Kentaro Tanabe , Norihiro Tanahashi , Tetsuya Shiromizu

The recently proposed theory of "Asymptotically Free Mimetic Gravity" is extended to the general non-homogeneous, spatially non-flat case. We present a modified theory of gravity which is free of higher derivatives of the metric. In this…

高能物理 - 理论 · 物理学 2020-08-05 Ali H. Chamseddine , Viatcheslav Mukhanov , Tobias B. Russ

We consider the Cauchy problem for the (non-linear) Maxwell-Charged-Scalar-Field equations with spherically symmetric initial data, on a sub-extremal Reissner--Nordstr\"{o}m or Schwarzschild exterior space-time. We prove that the solutions…

广义相对论与量子宇宙学 · 物理学 2020-10-07 Maxime Van de Moortel

We describe our present understanding of the relations between the behaviour of asymptotically flat Cauchy data for Einstein's vacuum field equations near space-like infinity and the asymptotic behaviour of their evolution in time at null…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Helmut Friedrich

A representation of spatial infinity based in the properties of conformal geodesics is used to obtain asymptotic expansions of the gravitational field near the region where null infinity touches spatial infinity. These expansions show that…

广义相对论与量子宇宙学 · 物理学 2015-06-25 Juan A. Valiente Kroon

Various equivalences between so-called soft theorems which constrain scattering amplitudes and Ward identities related to asymptotic symmetries have recently been established in gauge theories and gravity. So far these equivalences have…

高能物理 - 理论 · 物理学 2015-05-21 Miguel Campiglia , Alok Laddha

In this paper, we provide a comprehensive study of asymptotically flat spacetime in even dimensions $d\geq 4$. We analyze the most general boundary condition and asymptotic symmetry compatible with Penrose's definition of asymptotic null…

广义相对论与量子宇宙学 · 物理学 2024-10-18 Laurent Freidel , Aldo Riello

This paper is the fourth in a series dedicated to the mathematically rigorous asymptotic analysis of gravitational radiation under astrophysically realistic setups. It provides an overview of the physical ideas involved in setting up the…

广义相对论与量子宇宙学 · 物理学 2025-08-20 Lionor Kehrberger

Weinberg's celebrated factorisation theorem holds for soft quanta of arbitrary integer spin. The same result, for spin one and two, has been rederived assuming that the infinite-dimensional asymptotic symmetry group of Maxwell's equations…

高能物理 - 理论 · 物理学 2018-08-07 A. Campoleoni , D. Francia , C. Heissenberg

We present a novel approach to the analysis of regularity and decay for solutions of wave equations in a neighborhood of null infinity in asymptotically flat spacetimes of any dimension. The classes of metrics and wave type operators we…

微分几何 · 数学 2025-12-03 Peter Hintz , András Vasy

Gravitational radiation and some global properties of spacetimes can only be unambiguously measured at future null infinity . This motivates the interest in reaching it within simulations of coalescing compact objects, whose waveforms are…

广义相对论与量子宇宙学 · 物理学 2023-08-24 Alex Vañó-Viñuales

We review issues related to conservation laws for gravity with a negative cosmological constant subject to asymptotically (locally) anti-de Sitter boundary conditions. Beginning with the empty AdS spacetime, we introduce asymptotically…

广义相对论与量子宇宙学 · 物理学 2014-04-25 Sebastian Fischetti , William Kelly , Donald Marolf

In this article the static Einstein-Vlasov-Maxwell system is considered in spherical symmetry. This system describes an ensemble of charged particles interacting by general relativistic gravity and Coulomb forces. First, a proof for local…

广义相对论与量子宇宙学 · 物理学 2019-10-09 Maximilian Thaller

We investigate the relationship between asymptotic symmetries of QCD and vacuum transitions induced during scattering. Starting with the Fock vacuum in the far past, the infinity of conservation laws associated to (non-Abelian) asymptotic…

高能物理 - 理论 · 物理学 2020-11-04 Anupam A H , Athira P.

Using a set of field equations in the null surface formulation we obtain the linearized coupling between the gravitational and matter fields. We first derive a formula for the metric of the space time and then we use this formula to study…

广义相对论与量子宇宙学 · 物理学 2023-10-25 Carlos N. Kozameha , Emmanuel A. Tassone

We derive hamiltionian generators of asymptotic symmetries for general relativity with asymptotic AdS boundary conditions using the ``covariant phase space'' method of Wald et al. We then compare our results with other definitions that have…

高能物理 - 理论 · 物理学 2009-11-11 S. Hollands , A. Ishibashi , D. Marolf

In this paper, the effects of adding spatial conformal symmetry to the asymptotic symmetry group of an asymptotically conformally flat spacetime are studied. It is shown that, in addition to the BMS group, only the dilations of the spatial…

广义相对论与量子宇宙学 · 物理学 2019-12-24 Sepideh Bakhoda , Fatemeh Mahdieh , Hossein Shojaie

The purpose of the present work is to extend the earlier results for asymptotically flat vacuum space-times to asymptotically flat solutions of the Einstein-Maxwell equations. Once again, in this case, we get a class of asymptotically…

广义相对论与量子宇宙学 · 物理学 2011-07-19 Ezra T. Newman , Gilberto Silva-Ortigoza