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In the plane wave spacetime, when gravitational waves pass by, an angular deviation exists between two free-falling gyroscopes, which naturally corresponds to the velocity memory effect. In the shackwave spacetime background, the angular…

General Relativity and Quantum Cosmology · Physics 2025-01-28 Yingxin Chen , Ke Wang , Chao-Jun Feng

Besides the transient effect, the passage of a gravitational wave also causes a persistent displacement in the relative position of an interferometer's test masses through the \emph{nonlinear memory effect}. This effect is generated by the…

General Relativity and Quantum Cosmology · Physics 2023-06-29 Silvia Gasparotto , Rodrigo Vicente , Diego Blas , Alexander C. Jenkins , Enrico Barausse

Gravitational waves with parallel rays are known to have remarkable properties: Their orbit space of null rays possesses the structure of a non-relativistic spacetime of codimension-one. Their geodesics are in one-to-one correspondence with…

High Energy Physics - Theory · Physics 2016-02-22 Xavier Bekaert , Kevin Morand

The gravitational field of two-body system, a high energetic particle and a massive particle at rest, is studied in the linearized Einstein gravity. The ultrarelativistic particle yields a plane-fronted gravitational shockwave which…

General Relativity and Quantum Cosmology · Physics 2026-05-15 D. V. Fursaev , V. A. Tainov

We firstly generalize the massive scalar propagator for planar gravitational waves propagating on Minkowski space obtained recently in Ref. [1]. We then use this propagator to study the response of a freely falling Unruh-DeWitt detector to…

General Relativity and Quantum Cosmology · Physics 2022-12-21 Tomislav Prokopec

We perform searches for gravitational wave memory in the data of two major Pulsar Timing Array (PTA) experiments located in Europe and Australia. Supermassive black hole binaries (SMBHBs) are the primary sources of gravitational waves in…

In this work, we investigate the generation and propagation of gravitational waves within a minimal gravitational SME (Standard Model Extension). Starting from the modified graviton dispersion relation derived in the linearized gravity…

General Relativity and Quantum Cosmology · Physics 2026-03-16 A. A. Araújo Filho , N. Heidari , Iarley P. Lobo

The propagation of electromagnetic waves in vacuum is often described within the geometrical optics approximation, which predicts that wave rays follow null geodesics. However, this model is valid only in the limit of infinitely high…

General Relativity and Quantum Cosmology · Physics 2020-07-29 Marius A. Oancea , Jérémie Joudioux , I. Y. Dodin , D. E. Ruiz , Claudio F. Paganini , Lars Andersson

Gravitational waves (GWs) from gravitational three-body decay (graviton Bremsstrahlung process) can leave an indelible signal at ultrahigh frequencies. We focus on a scenario where superheavy particles are produced gravitationally at a…

Cosmology and Nongalactic Astrophysics · Physics 2024-08-21 Ryoto Inui , Yusuke Mikura , Shuichiro Yokoyama

Based on a recently proposed reinterpretation of gravitational wave memory that builds up on the definition of gravitational waves pioneered by Isaacson, we provide a unifying framework to derive both ordinary and null memory from a single…

General Relativity and Quantum Cosmology · Physics 2025-07-24 Lavinia Heisenberg , Guangzi Xu , Jann Zosso

We assume that the cosmological dark matter is composed of massive neutral scalar particles that decay into two massless particles. The decay produces a stochastic background of gravitational waves (GWs) via a 'memory effect' mechanism. We…

General Relativity and Quantum Cosmology · Physics 2020-02-14 Bruce Allen

Linear and rotational dragging effects of gravitational waves on local inertial frames are studied in purely vacuum spacetimes. First the linear dragging caused by a simple cylindrical pulse is investigated. Surprisingly strong transversal…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Jiri Bicak , Joseph Katz , Donald Lynden-Bell

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…

General Relativity and Quantum Cosmology · Physics 2019-01-02 Lydia Bieri

Gravitational waves are predicted by the general theory of relativity. In [6] D. Christodoulou showed that gravitational waves have a nonlinear memory. We proved in [3] that the electromagnetic field contributes at highest order to the…

Differential Geometry · Mathematics 2011-06-10 Lydia Bieri , PoNing Chen , Shing-Tung Yau

This paper studies gravitational waves in a dark matter model composed of three types of particles with distinct spins, along with a scalar field $\phi$ that mediates interactions between Standard Model particles and dark matter. It…

High Energy Physics - Phenomenology · Physics 2025-11-11 Mohammad Hossein Rahimi Abkenar , Ahmad Mohamadnejad , Reza Sepahvand

This paper focuses on how the production and polarization of gravitational waves are affected by spontaneous Lorentz symmetry breaking, which is driven by a self-interacting vector field. Specifically, we examine the impact of a smooth…

General Relativity and Quantum Cosmology · Physics 2024-06-13 K. M. Amarilo , M. B. Ferreira Filho , A. A. Araújo Filho , J. A. A. S. Reis

Wave packets propagating in inhomogeneous media experience a coupling between internal and external degrees of freedom and, as a consequence, follow spin-dependent trajectories. These phenomena, well known in optics and condensed matter…

General Relativity and Quantum Cosmology · Physics 2024-09-25 Marius A. Oancea , Richard Stiskalek , Miguel Zumalacárregui

We focus on the interaction of a plane gravitational wave with electromagnetic fields and we describe this interaction in the proper detector frame where, thanks to the introduction of Fermi coordinates, it is possible to refer to directly…

General Relativity and Quantum Cosmology · Physics 2025-03-14 Matteo Luca Ruggiero

Despite growing interest, there is a scarcity of known predictions in the regime where both quantum and general relativistic effects become observable. Here, we investigate a combined atom-field system in a curved spacetime, with a specific…

Quantum Physics · Physics 2026-03-24 Jerzy Paczos , Navdeep Arya , Sofia Qvarfort , Daniel Braun , Magdalena Zych

Ehlers and Kundt [1] argued in favor of the velocity effect: particles initally at rest hit by a burst of gravitational waves should fly apart with constant velocity after the wave has passed. Zel'dovich and Polnarev [2] suggested instead…

General Relativity and Quantum Cosmology · Physics 2025-05-14 P. -M. Zhang , Q. -L. Zhao , M. Elbistan , P. A. Horvathy