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We consider the retarded solution to the scalar, electromagnetic, and linearized gravitational field equations in Minkowski spacetime, with source given by a particle moving on a null geodesic. In the scalar case and in the Lorenz gauge in…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Alexander Tolish , Robert M. Wald

Gravitational waves from the coalescence of compact objects carry information about their dynamics and the spacetime in regions where they are evolving. In particular, late-time tails and memory effects after the merger are two…

General Relativity and Quantum Cosmology · Physics 2025-08-29 Qassim Alnasheet , Vitor Cardoso , Francisco Duque , Rodrigo Panosso Macedo

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

The geodesic deviation of a pair of test particles is an natural observable for the gravitational memory effect. Nevertheless in curved spacetime, this observable is plagued with various issues that need to be clarified before one can…

High Energy Physics - Theory · Physics 2019-11-27 Chong-Sun Chu , Yoji Koyama

The equations which determine the response of a spinning charged particle moving in a uniform magnetic field to an incident gravitational wave are derived in the linearized approximation to general relativity. We verify that 1) the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 D. B. Papadopoulos

In this paper, we discuss the gravitational waves in the context of gauge theory gravity with a negative cosmological constant. The gauge theory gravity is a gravity theory under gauge formulation in the language of geometric algebra. In…

General Relativity and Quantum Cosmology · Physics 2022-09-12 Jianfei Xu

We investigate the influence of cosmic magnetic fields on gravitational wave perturbations, and find exact solutions on large scales. We show that a large-scale magnetic field can generate large-scale non-decaying gravitational waves. In…

Astrophysics · Physics 2009-11-06 Roy Maartens , Christos Tsagas , Carlo Ungarelli

The propagation of gravitational waves can be described in terms of null geodesics by using the geometrical optics approximation. However, at large but finite frequencies the propagation is affected by the spin-orbit coupling corrections to…

General Relativity and Quantum Cosmology · Physics 2024-10-29 Marius A. Oancea , Richard Stiskalek , Miguel Zumalacárregui

The spin Hall effects of light represent a diverse class of polarization-dependent physical phenomena involving the dynamics of electromagnetic wave packets. In a medium with an inhomogeneous refractive index, wave packets can be…

General Relativity and Quantum Cosmology · Physics 2022-05-30 Abraham I. Harte , Marius A. Oancea

In the first paper in this series, a class of observables that generalized the gravitational wave memory effect were introduced and given the name "persistent gravitational wave observables." These observables are all nonlocal in time,…

General Relativity and Quantum Cosmology · Physics 2023-03-21 Alexander M. Grant , David A. Nichols

The detection of gravitational waves (GWs) propagating through cosmic structures can provide invaluable information on the geometry and content of our Universe, as well as on the fundamental theory of gravity. In order to test possible…

General Relativity and Quantum Cosmology · Physics 2020-11-25 Alice Garoffolo , Gianmassimo Tasinato , Carmelita Carbone , Daniele Bertacca , Sabino Matarrese

Gravitational waves cause freely falling spinning objects to precess, resulting in a net orientation change called gyroscopic memory. In this paper, we will consider isolated gravitational sources in the post-Newtonian framework and compute…

General Relativity and Quantum Cosmology · Physics 2025-06-13 Guillaume Faye , Ali Seraj

Recently the 'memory effect' has been studied in plane gravitational waves and, in particular, in impulsive plane waves. Based on an analysis of the particle motion (mainly in Baldwin-Jeffery-Rosen coordinates) a 'velocity memory effect' is…

General Relativity and Quantum Cosmology · Physics 2019-05-02 Roland Steinbauer

We investigate the gravitational memory effect for linearized perturbations off of Minkowski space in odd spacetime dimensions $d$ by examining the effects of gravitational radiation from classical point particle scattering. We also…

General Relativity and Quantum Cosmology · Physics 2018-02-07 Gautam Satishchandran , Robert M. Wald

We examine a simple example of gravitational wave memory due to the decay of a point particle into two point particles. In the case where one of the decay products is null, there are two types of memory: a null memory due to the null…

General Relativity and Quantum Cosmology · Physics 2014-09-05 Alexander Tolish , Lydia Bieri , David Garfinkle , Robert M. Wald

In this work, we compute the gravitational wave displacement and spin memory effects in de Sitter spacetime. Gravitational waves in asymptotically flat spacetimes are described by the Bondi-Sachs framework, where radiation at null infinity…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Anthi Voulgari Revof , Shubhanshu Tiwari

Understanding the interplay between quantum mechanical systems and gravity is a crucial step towards unifying these two fundamental ideas. Recent theoretical developments have explored how global properties of spacetime would cause a…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Flynn Linton , Shubhanshu Tiwari

Utilizing recent mathematical advances in proving stability of Minkowski spacetime with minimal decay rates and nonlinear stability of Kerr black holes with small angular momentum, we investigate the detailed asymptotic behaviors of…

General Relativity and Quantum Cosmology · Physics 2024-04-11 Xinliang An , Taoran He , Dawei Shen

We discuss an approach to gravitational waves based on Geometric Algebra and Gauge Theory Gravity. After a brief introduction to Geometric Algebra (GA), we consider Gauge Theory Gravity, which uses symmetries expressed within the GA of flat…

General Relativity and Quantum Cosmology · Physics 2019-12-13 Anthony N. Lasenby

In this paper, we study the gravitational wave (GW) memory effect for a black hole embedded in a dark matter halo described by a Hernquist-type density profile, both with and without a spike. We first solve the geodesic equations in this…

General Relativity and Quantum Cosmology · Physics 2025-10-02 Soumya Bhattacharya , Chiranjeeb Singha
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