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The asymptotic structure of space-time is studied by imposing conditions on the asymptotics of the metric. These conditions are weak enough to include large classes of physically relevant isolated space-times, but have a rich enough…

General Relativity and Quantum Cosmology · Physics 2025-07-11 Berend Schneider , Neev Khera

A method for deriving the asymptotic behaviour of any physical field is presented. This leads to a geometrically meaningful derivation of the peeling properties for arbitrary values of the cosmological constant. Application to the…

General Relativity and Quantum Cosmology · Physics 2022-08-23 Francisco Fernández-Álvarez , José M. M. Senovilla

We determine the leading order fall-off behaviour of the Weyl tensor in higher dimensional Einstein spacetimes (with and without a cosmological constant) as one approaches infinity along a congruence of null geodesics. The null congruence…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Marcello Ortaggio , Alena Pravdová

A complete description of the linearized gravitational field on a flat background is given in terms of gauge-independent quasilocal quantities. This is an extension of the results from gr-qc/9801068. Asymptotic spherical quasilocal…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Jacek Jezierski

This is the first of two papers devoted to the asymptotic structure of space-time in the presence of a non-negative cosmological constant $\Lambda$. This first paper is concerned with the case of $\Lambda =0$. Our approach is fully based on…

General Relativity and Quantum Cosmology · Physics 2022-08-23 Francisco Fernández-Álvarez , José M. M. Senovilla

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 demonstrate the ``peeling property'' of the Weyl tensor in higher dimensions in the case of even dimensions (and with some additional assumptions), thereby providing a first step towards understanding of the general peeling behaviour of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. Pravdova , V. Pravda , A. Coley

In this paper, we establish the asymptotic behaviour along outgoing and incoming radial geodesics, i.e., the peeling property for the tensorial Fackrell-Ipser and spin $\pm 1$ Teukolsky equations on Schwarzschild spacetime. Our method…

General Relativity and Quantum Cosmology · Physics 2026-03-13 Pham Truong Xuan

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

We make use of Friedrich's construction of the cylinder at spatial infinity to relate the logarithmic terms appearing in asymptotic expansions of components of the Weyl tensor to the freely specifiable parts of time symmetric initial data…

General Relativity and Quantum Cosmology · Physics 2017-09-27 Edgar Gasperin , Juan A. Valiente Kroon

The asymptotic symmetry analysis of Maxwell theory at spatial infinity of Minkowski space with $d\geq 3$ is performed. We revisit the action principle in de Sitter slicing and make it well-defined by an asymptotic gauge fixing. In…

High Energy Physics - Theory · Physics 2020-01-08 Erfan Esmaeili

We analyze the directional properties of general gravitational, electromagnetic, and spin-s fields near conformal infinity I. The fields are evaluated in normalized tetrads which are parallelly propagated along null geodesics which approach…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Pavel Krtous , Jiri Podolsky

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, using Mean Curvature Flow methods, 2+1 dimensional cosmologies with a positive cosmological constant and matter satisfying the dominant and the strong energy conditions. If the spatial slices are compact with non-positive Euler…

High Energy Physics - Theory · Physics 2020-04-22 Paolo Creminelli , Leonardo Senatore , András Vasy

The asymptotic behaviour of the components of the Weyl tensor and of the energy-momentum tensor in the Penrose limit is determined. In both cases a peeling-off property is found. Examples of different types of matter are provided. The…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Kerstin E. Kunze

We study the peeling on Kerr spacetime for fields satisfying conformally invariant linear and nonlinear scalar wave equations. We follow an approach initiated by L.J. Mason and the first author for the Schwarzschild metric, based on a…

General Relativity and Quantum Cosmology · Physics 2019-10-23 Jean-Philippe Nicolas , Truong Xuan Pham

We study the asymptotic stability of de Sitter spacetime with respect to non-linear perturbations, by considering second order perturbations of a flat Robertson-Walker universe with dust and a positive cosmological constant. Using the…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Marco Bruni , Filipe C. Mena , Reza Tavakol

We carry on a systematic study of the physical properties of axially symmetric fluid distributions, which appear to be geodesic, shear--free, irrotational, non--dissipative and purely electric, for the comoving congruence of observers, from…

General Relativity and Quantum Cosmology · Physics 2018-07-04 L. Herrera , A. Di Prisco , J. Carot

Certain aspects of the behaviour of the gravitational field near null and spatial infinity for the developments of asymptotically Euclidean, conformally flat initial data sets are analysed. Ideas and results from two different approaches…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. A. Valiente Kroon

In this paper, we show that the peeling property still holds for Bondi-Sachs metrics with nonzero cosmological constant under the boundary condition given by Sommerfeld's radiation condition together with three nontrivial…

General Relativity and Quantum Cosmology · Physics 2018-08-23 Fangquan Xie , Xiao Zhang
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