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An important concept in Physics is the notion of an isolated system. It is used in many different areas to describe the properties of a physical system which has been isolated from its environment. The interaction with the `outside' is then…

广义相对论与量子宇宙学 · 物理学 2020-08-13 Florian Beyer , Jörg Frauendiener , Jörg Hennig

We give a definition and derive the equations of motion for the center of mass and angular momentum of an axially symmetric, isolated system that emits gravitational and electromagnetic radiation. A central feature of this formulation is…

广义相对论与量子宇宙学 · 物理学 2015-06-04 Carlos N. Kozameh , Gonzalo Quiroga

We define the center of mass and spin of an isolated system in General Relativity. The resulting relationships between these variables and the total linear and angular momentum of the gravitational system are remarkably similar to their…

广义相对论与量子宇宙学 · 物理学 2016-03-16 Carlos N. Kozameh , Gonzalo D. Quiroga

We describe in this article a new code for evolving axisymmetric isolated systems in general relativity. Such systems are described by asymptotically flat space-times which have the property that they admit a conformal extension. We are…

广义相对论与量子宇宙学 · 物理学 2009-11-07 J. Frauendiener , Matthias Hein

Gravitational waves in cylindrically symmetric Einstein gravity are described by an effective energy tensor with the same form as that of a massless Klein- Gordon field, in terms of a gravitational potential generalizing the Newtonian…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Sean A. Hayward

Null cosmic strings are shown to disturb gravitational fields of massive bodies and create outgoing gravitational waves (GW). Perturbations of the metric caused by a straight null string and a point-like massive source are found as…

广义相对论与量子宇宙学 · 物理学 2024-04-11 D. V. Fursaev , E. A. Davydov , I. G. Pirozhenko , V. A. Tainov

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…

广义相对论与量子宇宙学 · 物理学 2021-06-07 Lydia Bieri

The center of mass and spin for isolated sources of gravitational radiation that move at relativistic speeds are defined. As a first step, we also present these definitions in flat space. This contradicts some general wisdom given in…

广义相对论与量子宇宙学 · 物理学 2020-01-15 C. N. Kozameh , J. I. Nieva , G. D. Quiroga

The energy density of the gravitational field is a full-fledged source of the gravitational field. This principle of Einstein was not implemented by him in the Einstein equation. Not long ago it was possible to find an energy-momentum…

广义相对论与量子宇宙学 · 物理学 2024-12-19 Aritra Sanyal , Valery B. Morozov

Part A of this article is devoted to the general investigation of the gravitational-wave emission by post-Newtonian sources. We show how the radiation field far from the source, as well as its near-zone inner gravitational field, can (in…

广义相对论与量子宇宙学 · 物理学 2017-08-23 Luc Blanchet

We present the first numerical simulations of asymptotically flat space-times whose computational domain includes past and future null-infinity. As an application, we explore the scattering of a gravitational wave in a black hole…

广义相对论与量子宇宙学 · 物理学 2025-04-04 Jörg Frauendiener , Chris Stevens , Sebenele Thwala

The asymptotic structure of the gravitational field of isolated systems has been analyzed in great detail in the case when the cosmological constant $\Lambda$ is zero. The resulting framework lies at the foundation of research in diverse…

广义相对论与量子宇宙学 · 物理学 2015-10-21 Abhay Ashtekar , Beatrice Bonga , Aruna Kesavan

This article begins with a brief introduction to numerical relativity aimed at readers who have a background in applied mathematics but not necessarily in general relativity. I then introduce and summarise my work on the problem of treating…

广义相对论与量子宇宙学 · 物理学 2014-07-29 Oliver Rinne

The purpose of the present work is to extend the earlier results for asymptotically flat vacuum space-times to asymptotically flat solutions of the Einstein-Maxwell equations. Once again, in this case, we get a class of asymptotically…

广义相对论与量子宇宙学 · 物理学 2011-07-19 Ezra T. Newman , Gilberto Silva-Ortigoza

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,…

广义相对论与量子宇宙学 · 物理学 2015-06-22 Adam D. Helfer

We establish a generic, fully-relativistic formalism to study gravitational-wave emission by extreme-mass-ratio systems in spherically-symmetric, non-vacuum black-hole spacetimes. The potential applications to astrophysical setups range…

广义相对论与量子宇宙学 · 物理学 2022-12-21 Vitor Cardoso , Kyriakos Destounis , Francisco Duque , Rodrigo Panosso Macedo , Andrea Maselli

Fundamental fields are a natural outcome in cosmology and particle physics and might therefore serve as a proxy for more complex interactions. The equivalence principle implies that all forms of matter gravitate, and one therefore expects…

广义相对论与量子宇宙学 · 物理学 2014-05-28 Hirotada Okawa , Helvi Witek , Vitor Cardoso

We show how to decoupling two spherically symmetric and static gravitational sources through the most general possible extension of the so-called Minimal Geometric Deformation-decoupling. As a test, we decouple the Einstein-Maxwell system…

广义相对论与量子宇宙学 · 物理学 2018-12-10 J Ovalle

The article reviews the current status of a theoretical approach to the problem of the emission of gravitational waves by isolated systems in the context of general relativity. Part A of the article deals with general post-Newtonian…

广义相对论与量子宇宙学 · 物理学 2016-11-23 Luc Blanchet

There is a deep tension between the well-developed theory of gravitational waves from isolated systems and the presence of a positive cosmological constant $\Lambda$, however tiny. In particular, even the post-Newtonian quadrupole formula,…

广义相对论与量子宇宙学 · 物理学 2016-02-10 Abhay Ashtekar , Béatrice Bonga , Aruna Kesavan
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