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In this work, we revisit unitary irreducible representations of the Bondi-Metzner-Sachs (BMS) group discovered by McCarthy. Representations are labelled by an infinite number of super-momenta in addition to four-momentum. Tensor products of…

High Energy Physics - Theory · Physics 2018-04-18 Atreya Chatterjee , David A. Lowe

We analyze three classical field theories based on the wave equation: scalar field, electrodynamics and linearized gravity. We derive certain generating formula on a hyperboloid and on a null surface for them. The linearized Einstein…

General Relativity and Quantum Cosmology · Physics 2013-11-12 Jacek Jezierski

False vacuum decay in field theory may be formulated as a boundary value problem in Euclidean space. In a previous work, we studied its solution in single scalar field theories with quadratic gravity and used it to find obstructions to…

General Relativity and Quantum Cosmology · Physics 2022-02-22 Silvia Vicentini , Massimiliano Rinaldi

The asymptotic symmetry group of general relativity in asymptotically flat spacetimes can be extended from the Bondi-Metzner-Sachs (BMS) group to the generalized BMS (GMBS) group suggested by Campiglia and Laddha, which includes arbitrary…

General Relativity and Quantum Cosmology · Physics 2025-01-22 Eanna E. Flanagan , David A. Nichols

We investigate the Einstein vacuum equations as well as the Einstein-null fluid equations describing neutrino radiation. We find new structures in gravitational waves and memory for asymptotically-flat spacetimes of slow decay. These…

General Relativity and Quantum Cosmology · Physics 2021-06-07 Lydia Bieri

Memory effects in the exact Kundt wave spacetimes are shown to arise in the behaviour of geodesics in such spacetimes. The types of Kundt spacetimes we consider here are direct products of the form $H^2\times M(1,1)$ and $S^2\times M(1,1)$.…

General Relativity and Quantum Cosmology · Physics 2020-07-22 Indranil Chakraborty , Sayan Kar

The asymptotic symmetry algebra of four-dimensional Einstein gravity in the asymptotically flat context has been shown recently to be the direct sum of the Poincar\'e algebra and of an infinite-dimensional abelian algebra (with central…

High Energy Physics - Theory · Physics 2024-02-21 Oscar Fuentealba , Marc Henneaux , Cédric Troessaert

The asymptotic structure of null and spatial infinities of asymptotically flat spacetimes plays an essential role in discussing gravitational radiation, gravitational memory effect, and conserved quantities in General Relativity. Bondi,…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Mariem Magdy

Flat-space limit is well-defined for asymptotically AdS spacetimes written in coordinates called the BMS gauge. For the three-dimensional Einstein gravity with a negative cosmological constant, we calculate the quasi-local energy momentum…

High Energy Physics - Theory · Physics 2014-03-06 Reza Fareghbal , Ali Naseh

The symmetries of asymptotically flat spacetimes in general relativity are given by the Bondi-Metzner-Sachs (BMS) group, though there are proposed generalizations of its symmetry algebra. Associated with each symmetry is a charge and a…

General Relativity and Quantum Cosmology · Physics 2021-09-28 Arwa Elhashash , David A. Nichols

In the framework of an effective field theory of general relativity a model of scalar and vector bosons interacting with the metric field is considered. It is shown in the framework of a two-loop order calculation that for the cosmological…

High Energy Physics - Theory · Physics 2019-08-30 J. Gegelia , Ulf-G. Meißner

The Bondi-Metzner-Sachs group in three dimensions is the symmetry group of asymptotically flat three-dimensional spacetimes. It is the semi-direct product of the diffeomorphism group of the circle with the space of its adjoint…

High Energy Physics - Theory · Physics 2015-06-19 Glenn Barnich , Blagoje Oblak

In this paper, we derive the generic solution of the Newman-Penrose equations in the Newman-Unti gauge with vanishing curvature tensor. The obtained solutions are the vacua of the gravitational theory which are connected to the derivations…

High Energy Physics - Theory · Physics 2024-09-04 Pujian Mao

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 discuss scalar quantum field theories in a Lorentz-invariant three-dimensional noncommutative space-time. We first analyze the one-loop diagrams of the two-point functions, and show that the non-planar diagrams are finite and have…

High Energy Physics - Theory · Physics 2014-11-18 Shin'ichi Imai , Naoki Sasakura

Asymptotically flat spacetimes have been studied in five separate regions: future/past timelike infinity $i^\pm$, future/past null infinity $\mathcal{I}^\pm$, and spatial infinity $i^0$. We formulate assumptions and definitions such that…

General Relativity and Quantum Cosmology · Physics 2023-11-21 Geoffrey Compère , Samuel E. Gralla , Hongji Wei

If the presence of a gravitational field breaks the Lorentz symmetry valid for special relativity, an "absolute motion" might be detectable. We summarize a scalar theory of gravity with a such "ether", which starts from a tentative…

General Physics · Physics 2011-12-09 Mayeul Arminjon

A framework that structures the gravitational memory effects and which is consistent with gravitational electric-magnetic duality is presented. A correspondence is described between memory observables, particular subleading residual gauge…

General Relativity and Quantum Cosmology · Physics 2019-07-17 Geoffrey Compère

I show that radiative space-times are not asymptotically flat; rather, the radiation field gives rise to holonomy at null infinity. (This was noted earlier, by Bramson.) This means that, when gravitational radiation is present,…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Adam D. Helfer

This article aims at comparing gravitational wave memory effect in a Schwarzschild spacetime with that of other compact objects with static and spherically symmetric spacetime, with the purpose of proposing a procedure for differentiating…

General Relativity and Quantum Cosmology · Physics 2023-09-12 Soumya Bhattacharya , Shramana Ghosh