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In this account we investigate an asymptotically flat space-time geometry. In particular, we focus on a pure gravity model with cylindrical symmetry where no matter fields are included. The Einstein-Rosen metric is introduced and the…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Andrea Macrina

Starting with a field theoretic approach in Minkowski space, the gravitational energy momentum tensor is derived from the Einstein equations in a straightforward manner. This allows to present them as {\it acceleration tensor} = const.…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Theo M. Nieuwenhuizen

We derive the gravitational waveform and gravitational-wave energy flux generated by a binary star system of compact objects (neutron stars or black holes), accurate through second post-Newtonian order ($O[(v/c)^4] \sim O[(Gm/rc^2)^2]$)…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Clifford M. Will , Alan G. Wiseman

We study inverse problems for the Einstein-Maxwell equations. We prove that it is possible to generate gravitational waves from the nonlinear interactions of electromagnetic waves. By sending electromagnetic waves from a neighborhood of a…

偏微分方程分析 · 数学 2017-04-03 Matti Lassas , Gunther Uhlmann , Yiran Wang

We prove that for spacetimes solving the Einstein-Maxwell (EM) equations, the electromagnetic field contributes at highest order to the nonlinear memory effect of gravitational waves. In [5] D. Christodoulou showed that gravitational waves…

微分几何 · 数学 2010-12-15 Lydia Bieri , PoNing Chen , Shing-Tung Yau

We show that we can derive the asymptotic Einstein's equations that arises at order $1/r$ in asymptotically flat gravity purely from symmetry considerations. This is achieved by studying the transformation properties of functionals of the…

高能物理 - 理论 · 物理学 2022-11-04 Laurent Freidel , Daniele Pranzetti

In this manuscript we review the theoretical foundations of gravitational waves in the framework of Albert Einstein's theory of general relativity. Following Einstein's early efforts we first derive the linearised Einstein field equations…

广义相对论与量子宇宙学 · 物理学 2018-05-22 Alain Dirkes

Radiative properties of gravitational and electromagnetic fields generated by uniformly accelerated charged black holes in asymptotically de Sitter spacetime are studied by analyzing the C-metric exact solution of the Einstein-Maxwell…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Pavel Krtous , Jiri Podolsky

The existence of large--scale magnetic fields in the universe has led to the observation that if gravitational waves propagating in a cosmological environment encounter even a small magnetic field then electromagnetic radiation is produced.…

广义相对论与量子宇宙学 · 物理学 2010-04-29 C. Barrabes , P. A. Hogan

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…

广义相对论与量子宇宙学 · 物理学 2016-02-24 Ezra T. Newman

We examine gravitational waves in an isolated axi--symmetric reflexion symmetric NGT system. The structure of the vacuum field equations is analyzed and the exact solutions for the field variables in the metric tensor are found in the form…

广义相对论与量子宇宙学 · 物理学 2015-06-25 N. J. Cornish , J. W. Moffat , D. C. Tatarski

We discuss dynamical aspects of gravitational plane waves in Einstein theory with massless scalar fields. The general analytic solution describes colliding gravitational waves with constant polarization, which interact with scalar waves…

广义相对论与量子宇宙学 · 物理学 2018-10-17 Jorge G. Russo

We derive the energy fluxes radiated by compact binary systems, including "hairy" black holes, in Einstein-Maxwell-dilaton theories, for circular orbits and at quadrupolar order. This enables to include in their resummed effective-one-body…

广义相对论与量子宇宙学 · 物理学 2018-10-24 Félix-Louis Julié

The intimate relations between Einstein's equation, conformal geometry, geometric asymptotics, and the idea of an isolated system in general relativity have been pointed out by Penrose many years ago. A detailed analysis of the interplay of…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Helmut Friedrich

We examine gravitational waves in an isolated axi--symmetric reflexion symmetric NGT system. The structure of the vacuum field equations is analyzed and the exact solutions for the field variables in the metric tensor are found in the form…

广义相对论与量子宇宙学 · 物理学 2007-05-23 J. W. Moffat , D. C. Tatarski

We present simulations of the Einstein-Maxwell-Klein-Gordon system on compactified hyperboloidal slices. To the best of our knowledge, this is the first time that this setup is evolved with a common formulation like BSSN/Z4. Hyperboloidal…

广义相对论与量子宇宙学 · 物理学 2025-11-10 João D. Álvares , Alex Vaño-Viñuales

With the arrival of the era of gravitational wave astronomy, the strong gravitational field regime will be explored soon in various aspects. In this article, we provide a general review over cylindrical systems in Einstein's theory of…

广义相对论与量子宇宙学 · 物理学 2020-05-13 K. Bronnikov , N. O. Santos , Anzhong Wang

The existence of gravitational radiation is a natural prediction of any relativistic description of the gravitational interaction. In this chapter, we focus on gravitational waves, as predicted by Einstein's general theory of relativity.…

广义相对论与量子宇宙学 · 物理学 2017-04-26 Alexandre Le Tiec , Jérôme Novak

In this paper, we study the model of the late universe with the homogeneous, isotropic and flat Friedmann-Robertson-Walker metric, where the source of the gravitational field is based on the fermion and boson field, with the Maxwell term…

广义相对论与量子宇宙学 · 物理学 2020-07-13 O. Razina , P. Tsyba , B. Meirbekov , R. Myrzakulov

We give asymptotics for Einstein vacuum equations in wave coordinates with small asymptotically flat data. We show that the behavior is wave like at null infinity and homogeneous towards time like infinity. We use the asymptotics to show…

偏微分方程分析 · 数学 2017-04-26 Hans Lindblad