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Related papers: Asymptotic Limit of Null Hypersurfaces

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Various works have suggested that the Bondi--Sachs--Penrose decay conditions on the gravitational field at null infinity are not generally representative of asymptotically flat space--times. We have made a detailed analysis of the…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Lars Andersson , Piotr T. Chrusciel

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

Inspired by interaction of gravitational waves and dark matters, we study the Bondi-Sachs formalism for Einstein massless scalar field with zero cosmological constant. We provide asymptotic expansions for the Bondi-Sachs metrics as well as…

General Relativity and Quantum Cosmology · Physics 2024-10-29 Jialue Li , Xiao Zhang

Null infinity in asymptotically flat spacetimes posses a rich mathematical structure; including the BMS group and the Bondi news tensor that allow one to study gravitational radiation rigorously. However, FLRW spacetimes are not…

General Relativity and Quantum Cosmology · Physics 2020-11-17 Béatrice Bonga , Kartik Prabhu

We develop the framework that reveals the intrinsic conserved stress tensor and current associated with the null infinity of a three-dimensional ($3d$) asymptotically flat spacetime. These are, respectively, canonical conjugates of…

High Energy Physics - Theory · Physics 2024-05-02 H. Adami , M. M. Sheikh-Jabbari , V. Taghiloo

In our previous papers [arXiv:2106.03150, arXiv:2110.10917, arXiv:2208.00822], we analyzed the asymptotic behavior of future directed null geodesics near future null infinity and then we showed a proposition on the accessibility of the null…

General Relativity and Quantum Cosmology · Physics 2023-07-12 Masaya Amo , Keisuke Izumi , Yoshimune Tomikawa , Tetsuya Shiromizu , Hirotaka Yoshino

We initiate a study of gravity focusing on generic null hypersurfaces, non-perturbatively in the Newton coupling. We present an off-shell account of the extended phase space of the theory, which includes the expected spin-2 data as well as…

High Energy Physics - Theory · Physics 2023-11-20 Luca Ciambelli , Laurent Freidel , Robert G. Leigh

In the companion paper [SciPost Phys. 13, 108 (2022), arXiv:2205.11401 [hep-th]] we have studied the solution space at null infinity for gravity in the partial Bondi gauge. This partial gauge enables to recover as particular cases and among…

High Energy Physics - Theory · Physics 2024-03-20 Marc Geiller , Céline Zwikel

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

We show that known entropy bounds constrain the information carried off by radiation to null infinity. We consider distant, planar null hypersurfaces in asymptotically flat spacetime. Their focussing and area loss can be computed…

High Energy Physics - Theory · Physics 2016-09-14 Raphael Bousso

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

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

In this short paper, we review recent progress on the positive mass theorem for spacelike hypersurfaces which approach to null infinity in asymptotically flat spacetimes. We use it to prove, if the functions $c(u, \theta, \psi)$, $d(u,…

Differential Geometry · Mathematics 2007-05-23 Xiao Zhang

The Brown-York stress tensor provides a means for defining quasilocal gravitational charges in subregions bounded by a timelike hypersurface. We consider the generalization of this stress tensor to null hypersurfaces. Such a stress tensor…

High Energy Physics - Theory · Physics 2022-04-14 Venkatesa Chandrasekaran , Eanna E. Flanagan , Ibrahim Shehzad , Antony J. Speranza

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…

General Relativity and Quantum Cosmology · Physics 2024-10-18 Laurent Freidel , Aldo Riello

We discuss how asymptotic quantities, originally introduced on null infinity in terms of Bondi-type gauge conditions, can be calculated near space-like infinity to any desired precision.

General Relativity and Quantum Cosmology · Physics 2017-09-27 Helmut Friedrich , Janos Kannar

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

We study the linear wave equation $\Box_{g}u=0$ in Bondi-Sachs coordinates, for an asymptotically flat Lorentz metric $g$. We consider the null-timelike boundary problem, where an initial value is given on the null surface $\tau=0$ and a…

Analysis of PDEs · Mathematics 2018-01-10 Qing Han , Lin Zhang

A new approach to space-time asymptotics is presented, refining Penrose's idea of conformal transformations with infinity represented by the conformal boundary of space-time. Generalizing examples such as flat and Schwarzschild space-times,…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Sean A. Hayward

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
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