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Gravitational wave memory is an important prediction of general relativity. The detection of the gravitational wave memory can be used to test general relativity and to deduce the property of the gravitational wave source. Quantitative…

General Relativity and Quantum Cosmology · Physics 2023-02-07 Xiaolin Liu , Xiaokai He , Zhoujian Cao

Vector fields in the expanding Universe are considered within the multidimensional theory of General Relativity. Vector fields in general relativity form a three-parametric variety. Our consideration includes the fields with a nonzero…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Boris E. Meierovich

Spacetimes with metrics admitting an expansion in terms of a combination of powers of 1/r and ln r are known as polyhomogeneous spacetimes. The asymptotic behaviour of the Newman-Penrose quantities for the vacuum polyhomogeneous spacetimes…

General Relativity and Quantum Cosmology · Physics 2026-01-12 Xiaokai He , Xiaoning Wu , Naqing Xie

Memory effects are studied in the simplest scalar-tensor theory, the Brans--Dicke (BD) theory. To this end, we introduce, in BD theory, novel Kundt spacetimes (without and with gyratonic terms), which serve as backgrounds for the ensuing…

General Relativity and Quantum Cosmology · Physics 2021-05-12 Siddhant Siddhant , Indranil Chakraborty , Sayan Kar

A major issue in general relativity, from its earliest days to the present, is how to extract physical information from any solution or class of solutions to the Einstein equations. Though certain information can be obtained for arbitrary…

General Relativity and Quantum Cosmology · Physics 2008-11-26 C. Kozameh , E. T. Newman , G. Silva-Ortigoza

In this note, we discuss the gravitational memory effect in higher derivative and infinite derivative gravity theories and give the detailed relevant calculations whose results were given in our recent works. We show that the memory effect…

General Relativity and Quantum Cosmology · Physics 2019-03-05 Ercan Kilicarslan

The transit of a gravitating radiation pulse past arrays of detectors stationed near future null infinity in the vacuum is considered. It is shown that the relative positions and clock times of the detectors before and after the radiation…

High Energy Physics - Theory · Physics 2014-11-24 Andrew Strominger , Alexander Zhiboedov

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.…

General Relativity and Quantum Cosmology · Physics 2021-07-07 Shammi Tahura , David A. Nichols , Alexander Saffer , Leo C. Stein , Kent Yagi

Gravitational-wave data is gauge dependent. While we can restrict the class of gauges in which such data may be expressed, there will still be an infinite-dimensional group of transformations allowed while remaining in this class, and…

General Relativity and Quantum Cosmology · Physics 2016-04-27 Michael Boyle

Black hole perturbation theory, or more generally, perturbation theory on a Schwarzschild bockground, has been applied in several contexts, but usually under the simplifying assumption that the ADM momentum vanishes, namely, that the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Reinaldo J. Gleiser , Alfredo E. Dominguez

It is well known that two types of gravitational wave memory exist in general relativity (GR): the linear memory and the non-linear, or Christodoulou memory. These effects, especially the latter, depend on the specific form of Einstein…

General Relativity and Quantum Cosmology · Physics 2016-12-07 Song Ming Du , Atsushi Nishizawa

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…

Differential Geometry · Mathematics 2010-12-15 Lydia Bieri , PoNing Chen , Shing-Tung Yau

The Bondi-Metzner-Sachs-van der Burg (BMS) group is the asymptotic symmetry group of radiating asymptotically flat spacetimes. It has recently received renewed interest in the context of the flat holography and the infrared structure of…

High Energy Physics - Theory · Physics 2020-09-07 Romain Ruzziconi

Gravitational memory effects and the BMS freedoms exhibited at future null infinity have recently been resolved and utilized in numerical relativity simulations. With this, gravitational wave models and our understanding of the fundamental…

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…

General Relativity and Quantum Cosmology · Physics 2021-06-07 Lydia Bieri

We study the gravitational wave memory effect in spacetimes related to flat space by a conformal transformation. The discussion is general but the gravitational wave length scale is assumed to be small compared with the background curvature…

General Relativity and Quantum Cosmology · Physics 2023-05-11 Niko Jokela , K. Kajantie , Miika Sarkkinen

In this article, we compare in detail the linear and nonlinear approach to the Gravitational Waves Displacement and Velocity Memory (GWDM and GWVM) effects. We consider astrophysical situations that give rise to gravitational waves with…

General Relativity and Quantum Cosmology · Physics 2024-06-21 Lydia Bieri , Alexander Polnarev

Black bounces are spacetimes that can be interpreted as either black holes or wormholes depending on specific parameters. In this study, we examine the Simpson-Visser and Bardeen-type solutions as black bounces and investigate the…

General Relativity and Quantum Cosmology · Physics 2024-05-22 H. Hadi , R. Naderi

With the multitude of gravitational wave observations that have been made in the past ten years, probing the dynamical and nonlinear nature of strong gravity is becoming more and more feasible. One promising way to test the nonlinear nature…

General Relativity and Quantum Cosmology · Physics 2026-05-28 Keefe Mitman , Maximiliano Isi , Will M. Farr

We present a perturbative treatment of gravitational wave memory. The coordinate invariance of Einstein's equations leads to a type of gauge invariance in perturbation theory. As with any gauge invariant theory, results are more clear when…

General Relativity and Quantum Cosmology · Physics 2014-04-23 Lydia Bieri , David Garfinkle