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Infinite sets of asymptotic soft-charges were recently shown to be related to new symmetries of the $S$-matrix, spurring a large amount of research on this and related questions. Notwithstanding, the raison-d'\^etre of these soft-charges…

High Energy Physics - Theory · Physics 2020-06-24 Aldo Riello

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

In the spherically symmetric case the requirements of regularity of density and pressures and finiteness of the ADM mass $m$, together with the weak energy condition, define the family of asymptotically flat globally regular solutions to…

High Energy Physics - Theory · Physics 2007-05-23 Irina Dymnikova

We consider diagonal cylindrically symmetric metrics, with an interior representing a general non-rotating fluid with anisotropic pressures. An exterior vacuum Einstein-Rosen spacetime is matched to this using Darmois matching conditions.…

General Relativity and Quantum Cosmology · Physics 2009-11-06 A. di Prisco , L. Herrera , M. A. H. MacCallum , N. O. Santos

We study a class of shear-free, homogeneous but anisotropic cosmological models with imperfect matter sources in the context of f(R) gravity. We show that the anisotropic stresses are related to the electric part of the Weyl tensor in such…

General Relativity and Quantum Cosmology · Physics 2016-04-01 Amare Abebe , Davood Momeni , Ratbay Myrzakulov

We investigate asymptotic symmetries which preserve the Bondi gauge conditions but do not preserve the asymptotic falloff conditions for the metric near the null boundary, and their connection to soft graviton theorems for scattering…

High Energy Physics - Theory · Physics 2022-12-07 Bart Horn

We consider several geometric inequalities in general relativity involving mass, area, charge, and angular momentum for asymptotically hyperboloidal initial data. We show how to reduce each one to the known maximal (or time symmetric) case…

General Relativity and Quantum Cosmology · Physics 2016-01-27 Ye Sle Cha , Marcus Khuri , Anna Sakovich

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

In this work we analyze the asymptotic symmetries of the three-dimensional Chern-Simons (CS) gravity theory for a higher spin extension of the so-called Maxwell algebra. We propose a generalized set of asymptotic boundary conditions for the…

High Energy Physics - Theory · Physics 2025-02-26 Patrick Concha , Javier Matulich , Daniel Pino , Evelyn Rodríguez

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

The residual gauge freedom within the null quasi-spherical coordinate condition is studied, for spacetimes admitting an expanding, shear-free null foliation. The freedom consists of a boost and rotation at each coordinate sphere,…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Robert Bartnik

In this paper we calculate the Bondi mass of asymptotically flat spacetimes with interacting electromagnetic and scalar fields. The system of coupled Einstein-Maxwel-Klein-Gordon equations is investigated and corresponding field equations…

General Relativity and Quantum Cosmology · Physics 2014-01-24 Martin Scholtz , Lukáš Holka

Starting from Post-Newtonian predictions for a system of $N$ infalling masses from the infinite past, we formulate and solve a scattering problem for the system of linearised gravity around Schwarzschild as introduced in [DHR19]. The…

General Relativity and Quantum Cosmology · Physics 2026-02-06 Lionor Kehrberger , Hamed Masaood

Discussed is relationship between nonlinearity and symmetry of dynamical models. The special stress is laid on essential, non-perturbative nonlinearity, when none linear background does exist. This is nonlinearity essentially different from…

Mathematical Physics · Physics 2010-03-17 Jan Jerzy Sławianowski , Vasyl Kovalchuk

We present a study of shearfree gravitational collapse using cylindrically symmetric spacetimes whose interior is a non-rotating dissipative fluid bounded by a cylindrical hypersurface beyond which is an Einstein-Rosen vacuum exterior. We…

General Relativity and Quantum Cosmology · Physics 2025-04-23 Marie-Noëlle Célérier , Nilton O. Santos

It is proved in the manuscript that as long as the proper coordinate transformation is introduced,, the equations of geodetic lines described in curved space-time can be transformed into the dynamic equations in flat space-time, that is to…

General Physics · Physics 2011-08-24 Mei Xiaochun

Extensions of Einstein gravity with quadratic curvature terms in the action arise in most effective theories of quantised gravity, including string theory. This article explores the set of static, spherically symmetric and asymptotically…

High Energy Physics - Theory · Physics 2015-12-22 H. Lü , A. Perkins , C. N. Pope , K. S. Stelle

We study the motion of particles in the background of a scalar-tensor theory of gravity in which the scalar field is kinetically coupled to the Einstein tensor and we present the null geodesic structure for asymptotically flat, AdS, and dS…

General Relativity and Quantum Cosmology · Physics 2025-08-15 D. A. Carvajal , P. A. González , Marco Olivares , Eleftherios Papantonopoulos , Yerko Vásquez

An interesting question is to characterize the general class of allowed boundary conditions for gauge theories, including gravity, at spatial and null infinity. This has played a role in discussions of soft charges, where antipodal symmetry…

High Energy Physics - Theory · Physics 2020-01-08 Steven B. Giddings

We study null hypersurfaces approaching null infinity in asymptotically flat spacetimes within the Bondi-Sachs gauge. The null Raychaudhuri constraint is shown to asymptote to the Bondi mass-loss formula, interpreted as a stress tensor…

High Energy Physics - Theory · Physics 2025-12-01 Luca Ciambelli