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The non-linear gravitational-wave memory effect is a prediction of general relativity in which test masses are permanently displaced by gravitational radiation. We implement a method for calculating the expected memory waveform from an…

High Energy Astrophysical Phenomena · Physics 2018-09-26 Colm Talbot , Eric Thrane , Paul D. Lasky , Fuhui Lin

We attempt to study three significant tests of general relativity in higher dimensions both in commutative and non-commutative spaces. In the context of non-commutative geometry, we will consider a solution of the Einstein equation in…

General Relativity and Quantum Cosmology · Physics 2021-05-04 Davood Mahdavian Yekta , S. A. Alavi , Majid Karimabadi

A pedagogical description of a simple ungeometrical approach to General Relativity is given, which follows the pattern of well understood field theories, such as electrodynamics. This leads quickly to most of the important weak field…

Astrophysics · Physics 2007-05-23 Norbert Straumann

Suggested theory involves a drastic revision of a role of local internal symmetries in physical concept of curved geometry. Under the reflection of fields and their dynamics from Minkowski to Riemannian space a standard gauge principle of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 G. T. Ter-Kazarian

When constructing general relativity (GR), Einstein required 4D general covariance. In contrast, we derive GR (in the compact, without boundary case) as a theory of evolving 3-dimensional conformal Riemannian geometries obtained by imposing…

General Relativity and Quantum Cosmology · Physics 2016-08-16 Edward Anderson , Julian Barbour , Brendan Z. Foster , Bryan Kelleher , Niall Ó Murchadha

We present new alternative complete asymptotic expansions for the time harmonic low--frequency magnetic field perturbation caused by the presence of a conducting permeable object as its size tends to zero for the eddy current approximation…

Analysis of PDEs · Mathematics 2022-07-11 P. D. Ledger , W. R. B. Lionheart

We investigate the gravitational memory effect in the full Generalized Proca gravity, the most general metric theory including a gravitational Proca field with derivative self-interactions that still maintains second-order equations of…

General Relativity and Quantum Cosmology · Physics 2025-08-29 Lavinia Heisenberg , Benedetta Rosatello , Guangzi Xu , Jann Zosso

Gravitational-wave displacement memory is a remarkable and ubiquitous phenomenon predicted by general relativity, which has not yet been detected. Unlike the oscillatory components of gravitational waveforms, displacement memory is…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Yan Cao , Yong-Liang Ma , Yong Tang

We study gravitational radiation for a positive value of the cosmological constant $\Lambda$. We rely on two battle-tested procedures: (i) We start from the same null coordinate system used by Bondi and Sachs for $\Lambda = 0$, but,…

General Relativity and Quantum Cosmology · Physics 2023-09-11 Béatrice Bonga , Claudio Bunster , Alfredo Pérez

We discuss the issue of radiation extraction in asymptotically flat space-times within the framework of conformal methods for numerical relativity. Our aim is to show that there exists a well defined and accurate extraction procedure which…

General Relativity and Quantum Cosmology · Physics 2009-10-31 J. Frauendiener

Gravitational-wave (GW) memory effects produce permanent shifts in the GW strain and its time integrals after the passage of a burst of GWs. Their presence is closely tied to symmetries of asymptotically flat spacetimes and fluxes of…

General Relativity and Quantum Cosmology · Physics 2025-01-22 Shammi Tahura , David A. Nichols , Kent Yagi

After a short review of prominent properties of gravitational waves and the newly born gravitational astronomy, we focus on theoretical aspects. Analytic approximation methods in general relativity have played a crucial role in the recent…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Luc Blanchet

Every emission of radiation in gravity also includes a nonwavelike component that leaves a permanent change in proper distances of the spacetime it travels through. This phenomenon is known as gravitational displacement memory. Building up…

General Relativity and Quantum Cosmology · Physics 2025-07-21 Lavinia Heisenberg , Benedetta Rosatello , Guangzi Xu , Jann Zosso

The universality of gravitational scattering at low energies and large distances encoded in soft theorems and memory effects can be understood from symmetries. In four-dimensional asymptotically flat spacetimes the infinite enhancement of…

High Energy Physics - Theory · Physics 2025-09-23 Sangmin Choi , Alok Laddha , Andrea Puhm

We present a systematic approach to embed $n$-dimensional vacuum general relativity in an $(n + 1)$-dimensional pseudo-Riemannian spacetime whose source is either a (non)zero cosmological constant or a scalar field minimally-coupled to…

General Relativity and Quantum Cosmology · Physics 2015-09-30 J. Ponce de Leon

This dissertation consists of four parts. In Part I, we briefly review fundamental theories of gravity, performed experimental tests, and gravitational waves. The framework and the methods that we use in our calculations are discussed in…

General Relativity and Quantum Cosmology · Physics 2013-08-27 Saeed Mirshekari

The Larmor formula for scalar and gravitational radiation from a pointlike particle is derived in any even higher-dimensional flat spacetime. General expressions for the field in the wave zone and the energy flux are obtained in closed…

High Energy Physics - Theory · Physics 2008-11-26 Vitor Cardoso , Marco Cavaglia , Jun-Qi Guo

We showed that the principle of nongravitating vacuum energy, when formulated in the first order formalism, solves the cosmological constant problem. The most appealing formulation of the theory displays a local symmetry associated with the…

General Relativity and Quantum Cosmology · Physics 2011-09-09 E. I. Guendelman , A. B. Kaganovich

We give an account of the gravitational memory effect in the presence of the exact plane wave solution of Einstein's vacuum equations. This allows an elementary but exact description of the soft gravitons and how their presence may be…

General Relativity and Quantum Cosmology · Physics 2017-09-13 P. M. Zhang , C. Duval , G. W. Gibbons , P. A. Horvathy

We show that charges associated with the internal Lorentz symmetries of general relativity, with higher derivative boundary terms included in the action, capture observable gravitational wave effects. In particular, the Gauss-Bonnet charge…

General Relativity and Quantum Cosmology · Physics 2023-04-26 Mahdi Godazgar , George Macaulay , Ali Seraj