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Four-dimensional asymptotically flat spacetimes at spatial infinity are defined from first principles without imposing parity conditions or restrictions on the Weyl tensor. The Einstein-Hilbert action is shown to be a correct variational…

High Energy Physics - Theory · Physics 2015-05-28 Geoffrey Compère , François Dehouck

We show that in an asymptotically flat space where an S-Matrix can be defined, dual supertranslations leave all its matrix elements invariant and the Hilbert space of asymptotic states factorizes into distinct super-selection sectors,…

High Energy Physics - Theory · Physics 2020-07-01 Uri Kol , Massimo Porrati

Writing the metric of an asymptotically flat spacetime in Bondi coordinates provides an elegant way of formulating the Einstein equation as a characteristic value problem. In this setting, we find that a specific class of asymptotically…

High Energy Physics - Theory · Physics 2021-02-24 Hadi Godazgar , Mahdi Godazgar , C. N. Pope

We consider massless higher spin gauge theories with both electric and magnetic sources, with a special emphasis on the spin two case. We write the equations of motion at the linear level (with conserved external sources) and introduce…

High Energy Physics - Theory · Physics 2008-11-26 C. Bunster , S. Cnockaert , M. Henneaux , R. Portugues

In this paper we establish two results concerning four-dimensional asymptotically flat spacetimes at spatial infinity. First, we show that the six conserved Lorentz charges are encoded in two unique, distinct, but mutually dual symmetric…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Geoffrey Compère , François Dehouck , Amitabh Virmani

We address the problem of consistent Campiglia-Laddha superrotations in $d>4$ by solving Bondi-Sachs gauge vacuum Einstein equations at the non-linear level with the most general boundary conditions preserving the null nature of infinity.…

High Energy Physics - Theory · Physics 2022-02-08 Federico Capone

A new local, covariant ``counter-term'' is used to construct a variational principle for asymptotically flat spacetimes in any spacetime dimension $ d \ge 4$. The new counter-term makes direct contact with more familiar background…

High Energy Physics - Theory · Physics 2009-11-11 Robert B. Mann , Donald Marolf

We study several properties of some new charges of asymptotically flat spacetimes. These dual supertranslation charges are akin to the magnetic large $U(1)$ charges in QED. In this paper we find the symmetries associated with these charges…

High Energy Physics - Theory · Physics 2020-03-23 Uri Kol , Massimo Porrati

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 present a new application of the Regge-Teitelboim method for treating symmetries which are defined asymptotically. It may be regarded as complementary to the one in their original 1974 paper. The formulation is based on replacing an…

High Energy Physics - Theory · Physics 2019-05-21 Claudio Bunster , Andrés Gomberoff , Alfredo Pérez

Hypertranslations and hyperrotations are asymptotic symmetries of flat space, on top of the familiar supertranslations and superrotations. They were discovered in arXiv:2205.01422 by working in the Special Double Null (SDN) gauge, where…

High Energy Physics - Theory · Physics 2023-01-12 Chethan Krishnan , Jude Pereira

This is a review of selected topics from recent work on symmetry charges in asymptotically flat spacetime done by the author in collaboration with U. Kol and R. Javadinezhad. First we reinterpret the reality constraint on the boundary…

High Energy Physics - Theory · Physics 2021-08-18 M. Porrati

We begin by emphasizing that we are dealing with standard Einstein or Einstein-Maxwell theory - absolutely no new physics has been inserted. The fresh item is that the well-known asymptotically flat solutions of the Einstein-Maxwell theory…

General Relativity and Quantum Cosmology · Physics 2016-02-24 Ezra T. Newman

We analyze the asymptotic symmetries and their associated charges at spatial infinity in $4$-dimensional asymptotically-flat spacetimes. We use the covariant formalism of Ashtekar and Hansen where the asymptotic fields and symmetries live…

General Relativity and Quantum Cosmology · Physics 2020-08-05 Kartik Prabhu , Ibrahim Shehzad

We propose a definition of asymptotic flatness at timelike infinity in four spacetime dimensions. We present a detailed study of the asymptotic equations of motion and the action of supertranslations on asymptotic fields. We show that the…

High Energy Physics - Theory · Physics 2022-02-15 Sumanta Chakraborty , Debodirna Ghosh , Sk Jahanur Hoque , Aniket Khairnar , Amitabh Virmani

We describe asymptotic symmetries at spatial infinity of asymptotically flat spacetimes within the context of a generalization of the Beig-Schmidt-Ashtekar-Romano-framework. We demonstrate that it is possible to relax certain smoothness…

General Relativity and Quantum Cosmology · Physics 2025-10-10 Sharad Mishra , Kinjal Banerjee , Jishnu Bhattacharyya

By extending Ashtekar and Romano's definition of spacelike infinity to the timelike direction, a new definition of asymptotic flatness at timelike infinity for an isolated system with a source is proposed. The treatment provides unit…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Uchida Gen , Tetsuya Shiromizu

We analyze asymptotic properties of higher-dimensional vacuum spacetimes admitting a "non-degenerate" geodetic multiple WAND. After imposing a fall-off condition necessary for asymptotic flatness, we determine the behaviour of the Weyl…

General Relativity and Quantum Cosmology · Physics 2009-11-15 Marcello Ortaggio , Vojtech Pravda , Alena Pravdova

We consider $(p+1)$-form gauge fields in flat $(2p+4)$-dimensions for which the radiation and the Coulomb solutions have the same asymptotic falloff behavior. Imposing appropriate falloff behavior on fields and adopting a Maxwell-type…

High Energy Physics - Theory · Physics 2018-08-28 Hamid Afshar , Erfan Esmaeili , M. M. Sheikh-Jabbari

We extend the Bondi formalism to describe asymptotically-flat spacetimes where the outgoing null geodesic congruence is not hypersurface-orthogonal, i.e. has non-vanishing twist. In the Newman-Penrose formulation, the twist…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Marc Geiller , Pujian Mao , Antoine Vincenti
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