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The construction of a theory of quantum gravity is an outstanding problem that can benefit from better understanding the laws of nature that are expected to hold in regimes currently inaccessible to experiment. Such fundamental laws can be…

High Energy Physics - Theory · Physics 2020-03-17 Friedrich Schöller

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

Gravitational waves with a space-translation Killing field are considered. In this case, the 4-dimensional Einstein vacuum equations are equivalent to the 3-dimensional Einstein equations with certain matter sources. This interplay between…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Abhay Ashtekar , Jiri Bicak , Bernd G. Schmidt

We discuss the asymptotic structure of null infinity in five dimensional space-time. Since it is known that the conformal infinity is not useful for odd higher dimensions, we shall employ the coordinate based method like the Bondi…

General Relativity and Quantum Cosmology · Physics 2010-06-18 Kentaro Tanabe , Norihiro Tanahashi , Tetsuya Shiromizu

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

We show that the BMS-supertranslations and their associated supermomenta on past null infinity can be related to those on future null infinity, proving the conjecture of Strominger for a class of spacetimes which are asymptotically-flat in…

General Relativity and Quantum Cosmology · Physics 2019-04-02 Kartik Prabhu

It is argued that the symmetry algebra of asymptotically flat spacetimes at null infinity in 4 dimensions should be taken as the semi-direct sum of supertranslations with infinitesimal local conformal transformations and not, as usually…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Glenn Barnich , Cedric Troessaert

We show that the asymptotic charges associated with Lorentz symmetries on past and future null infinity match in the limit to spatial infinity in a class of asymptotically-flat spacetimes. These are spacetimes that obey the Ashtekar-Hansen…

General Relativity and Quantum Cosmology · Physics 2022-08-08 Kartik Prabhu , Ibrahim Shehzad

We give a full analysis of the conservation along null surfaces of generalized energy and super-momenta, for gravitational systems enclosed by a finite boundary. In particular we interpret the conservation equations in a canonical manner,…

General Relativity and Quantum Cosmology · Physics 2018-06-20 Florian Hopfmüller , Laurent Freidel

In asymptotically Minkowski space-times, one finds a surprisingly rich interplay between geometry and physics in both the classical and quantum regimes. On the mathematical side it involves null geometry, infinite dimensional groups,…

General Relativity and Quantum Cosmology · Physics 2015-04-29 Abhay Ashtekar

We define the asymptotic flatness and discuss asymptotic symmetry at null infinity in arbitrary dimensions using the Bondi coordinates. To define the asymptotic flatness, we solve the Einstein equations and look at the asymptotic behavior…

General Relativity and Quantum Cosmology · Physics 2011-09-01 Kentaro Tanabe , Shunichiro Kinoshita , Tetsuya Shiromizu

The ``standard'' expressions for total energy, linear momentum and also angular momentum of asymptotically flat Bondi metrics at null infinity are also obtained from differential conservation laws on asymptotically flat backgrounds, derived…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Joseph Katz , Dorit Lerer

A new quasigroup approach to conservation laws in general relativity is applied to study asymptotically flat at future null infinity spacetime. The infinite-parametric Newman-Unti group of asymptotic symmetries is reduced to the Poincar\'e…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Alexander I. Nesterov

The aim of this paper is to investigate the properties of magnetic reconnection at a 3D null point, with respect to their dependence on the symmetry of the magnetic field around the null. In particular we examine the rate of flux transport…

Solar and Stellar Astrophysics · Physics 2015-05-14 A. K. Al-Hachami , D. I. Pontin

We propose a definition of asymptotically flat spacetimes that is consistent with both null infinities and compatible with known properties of gravitational scattering, incoming and outgoing radiation, and interactions with matter. For this…

High Energy Physics - Theory · Physics 2026-04-21 Geoffrey Compère , Sébastien Robert

It is pointed out that if we allow for the possibility of a multilayered universe, it is possible to maintain exact supersymmetry and arrange, in principle, for the vanishing of the cosmological constant. Superpartner(s) of a known particle…

High Energy Physics - Theory · Physics 2007-05-23 Freydoon Mansouri

The symmetry algebra of asymptotically flat spacetimes at null infinity in three dimensions is the semi-direct sum of the infinitesimal diffeomorphisms on the circle with an abelian ideal of supertranslations. The associated charge algebra…

General Relativity and Quantum Cosmology · Physics 2010-11-02 Glenn Barnich , Geoffrey Compere

Asymptotic symmetries of the five dimensional noncompact symmetric space SL(3)/SO(3) are found to form an infinite dimensional Lie algebra, analogously to the asymptotic symmetries of anti-de Sitter spaces in two and three dimensions.…

High Energy Physics - Theory · Physics 2015-06-03 Heikki Arponen

For static reductions of isotropic and anisotropic Magnetohydrodynamics plasma equilibrium models, a complete classification of admitted point symmetries and conservation laws up to first order is presented. It is shown that the symmetry…

Mathematical Physics · Physics 2009-11-13 Alexei F. Cheviakov , Stephen C. Anco

An idealized observer of an astronomical event is situated at future null infinity, where light rays emitted from the source approach. Mathematically, null infinity corresponds to the portion of the spacetime boundary defined by equivalence…

General Relativity and Quantum Cosmology · Physics 2020-03-18 Mu-Tao Wang
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