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It is shown that the class of asymptotically flat solutions to the axisymmetric and stationary vacuum Einstein equations with reflection symmetry of the metric is uniquely characterized by a simple relation for the Ernst potential on the…

广义相对论与量子宇宙学 · 物理学 2010-12-23 R. Meinel , G. Neugebauer

The gravitational memory effects of Chern-Simons modified gravity are considered in the asymptotically flat spacetime. If the Chern-Simons scalar does not directly couple with the ordinary matter fields, there are also displacement, spin…

广义相对论与量子宇宙学 · 物理学 2022-01-10 Shaoqi Hou , Tao Zhu , Zong-Hong Zhu

In cosmology an important role is played by homogeneous and isotropic solutions of the Einstein-Euler equations and linearized perturbations of these. This paper proves results on the asymptotic behaviour of scalar perturbations both in the…

偏微分方程分析 · 数学 2009-06-16 Paul T. Allen , Alan D. Rendall

We prove an asymptotic stability result for a linear coupled hyperbolic-elliptic system on a large class of singular background spacetimes in CMC gauge on the n-torus. At each spatial point these background spacetimes are perturbations of…

广义相对论与量子宇宙学 · 物理学 2019-10-21 Ellery Ames , Florian Beyer , James Isenberg

In this work, it is shown that based on the linear analysis, as long as a theory of gravity is diffeomorphism invariant and possesses the tensor degrees of freedom propagating at a constant, isotropic speed without dispersion, its…

广义相对论与量子宇宙学 · 物理学 2025-10-14 Shaoqi Hou

The purpose of this paper is to establish a definitive quantitative nonlinear scattering theory for asymptotically de Sitter solutions of the Einstein vacuum equations in $(n+1)$ dimensions with $n\geq4$ even, which are determined by small…

广义相对论与量子宇宙学 · 物理学 2024-11-27 Serban Cicortas

Given asymptotically flat initial data on M^3 for the vacuum Einstein field equation, and given a bounded domain in M, we construct solutions of the vacuum constraint equations which agree with the original data inside the given domain, and…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Justin Corvino , Richard M. Schoen

In this paper we establish two results concerning four-dimensional asymptotically flat spacetimes at spatial infinity. First, we show that the six conserved Lorentz charges are encoded in two unique, distinct, but mutually dual symmetric…

广义相对论与量子宇宙学 · 物理学 2015-05-27 Geoffrey Compère , François Dehouck , Amitabh Virmani

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 investigate the behavior of massless scalar, electromagnetic, and linearized gravitational perturbations near null infinity in d \geq 4 dimensional Minkowski spacetime (of both even and odd dimension) under the assumption that these…

广义相对论与量子宇宙学 · 物理学 2019-04-17 Gautam Satishchandran , Robert M. Wald

A complete characterization is obtained of the asymptotic behavior of solutions of the static vacuum Einstein equations which have a (pseudo)-compact horizon or boundary and are complete away from the boundary. It is proved that the…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Michael T. Anderson

We extend the work in our earlier article [4] to show that time-periodic, asymptotically-flat solutions of the Einstein equations analytic at scri, whose source is one of a range of scalar-field models, are necessarily stationary. We also…

广义相对论与量子宇宙学 · 物理学 2011-01-18 Jiří Bičák , Martin Scholtz , Paul Tod

Static spherically symmetric solutions to the Einstein-Euler equations with prescribed central densities are known to exist, be unique and smooth for reasonable equations of state. Some criteria are also available to decide whether…

广义相对论与量子宇宙学 · 物理学 2019-03-01 Lars Andersson , Annegret Y. Burtscher

In the present paper we consider the Einstein-multiple-scalar field theory. When the target space of the scalar fields is a complete, simply connected Riemannian manifold with non-positive sectional curvature we prove that the static and…

广义相对论与量子宇宙学 · 物理学 2022-01-05 Stoytcho Yazadjiev

In this paper, we investigate the asymptotic structure of gauge theories in decelerating and spatially flat Friedmann-Lema\^itre-Robertson-Walker universes. Firstly, we thoroughly explore the asymptotic symmetries of electrodynamics in this…

高能物理 - 理论 · 物理学 2023-01-24 Martin Enriquez-Rojo , Tobias Schroeder

The relation between gravitational memory effects and Bondi-Metzner-Sachs symmetry of the asymptotically flat spacetimes is studied in the scalar-tensor theory. For this purpose, the solutions to the equations of motion near the future null…

广义相对论与量子宇宙学 · 物理学 2021-01-19 Shaoqi Hou , Zong-Hong Zhu

Memory of gravitational waves in asymptotically-flat spacetimes that are solutions of the Einstein vacuum equations is of purely electric parity, no magnetic parity memory can occur. We show this by investigating what happens for various…

广义相对论与量子宇宙学 · 物理学 2019-01-02 Lydia Bieri

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…

高能物理 - 理论 · 物理学 2022-12-07 Bart Horn

Gravitational-wave memory effects are identified by their distinctive effects on families of freely falling observers: after a burst of waves pass by their locations, memory effects can cause lasting relative displacements of the observers.…

广义相对论与量子宇宙学 · 物理学 2021-07-07 Shammi Tahura , David A. Nichols , Alexander Saffer , Leo C. Stein , Kent Yagi

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
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