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Related papers: Gravitational wave memory and the wave equation

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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

We study a novel cubic nonlinear effect, the tails-of-memory, which consist of a combination of the tail effect (backscattering of linear gravitational waves against the curvature of spacetime generated by the source) and the memory effect…

General Relativity and Quantum Cosmology · Physics 2024-02-16 David Trestini , Luc Blanchet

We consider colliding wave packets consisting of hybrid mixtures of electromagnetic, gravitational and scalar waves. Irrespective of the scalar field, the electromagnetic wave still reflects from the gravitational wave. Some reflection…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ozay Gurtug , Mustafa Halilsoy , Ozlem Unver

We revisit the issue of memory effects, i.e. effects giving rise to a net cumulative change of the configuration of test particles, using a toy model describing the emission of radiation by a compact source and focusing on the scalar, hence…

General Relativity and Quantum Cosmology · Physics 2021-03-10 Hebertt Leandro , Riccardo Sturani

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

By making use of the weak gravitational field approximation, we obtain a linearized solution of the gravitational vacuum field equation in an anisotropic spacetime. The plane-wave solution and dispersion relation of gravitational wave is…

General Relativity and Quantum Cosmology · Physics 2012-04-03 Xin Li , Zhe Chang

The equations which determine the response of a charged particle moving in a magnetic field to an incident gravitational wave(GW) are derived in the linearized approximation to general relativity. We briefly discuss several astrophysical…

General Relativity and Quantum Cosmology · Physics 2011-05-23 Demetrios B. Papadopoulos

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

In this paper, we establish a model-independent framework based on the Isaacson picture to analyze the gravitational-wave effects in the most general vector-tensor theory that yields second-order field equations. Within this framework, we…

General Relativity and Quantum Cosmology · Physics 2025-06-12 Yu-Qi Dong , Xiao-Bin Lai , Yu-Qiang Liu , Yu-Xiao Liu

The recent detection of gravitational waves has generated interest in alternatives to the black hole interpretation of sources. One set of such alternatives involves a prediction of gravitational wave "echoes". We consider two aspects of…

General Relativity and Quantum Cosmology · Physics 2017-11-22 Richard Price , Gaurav Khanna

We develop and apply a fully covariant 1+3 electromagnetic analogy for gravity. The free gravitational field is covariantly characterized by the Weyl gravito-electric and gravito-magnetic spatial tensor fields, whose dynamical equations are…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Roy Maartens , Bruce A. Bassett

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 letter we introduce a particular solution for parallel electric and magnetic fields, in a gravitational background, which satisfy free-wave equations and the phenomenology suggested by astrophysical plasma physics. These free-wave…

High Energy Physics - Theory · Physics 2009-11-11 E. M. C. Abreu , C. Pinheiro , S. A. Diniz , F. C. Khanna

The memory effect is known to introduce a permanent displacement in the gravitational wave (GW) detectors after the passage of a GW signal. While the linear memory adheres to the source properties, the non-linear memory is a secondary…

General Relativity and Quantum Cosmology · Physics 2025-11-05 Samik Dutta , Ankur Chhabra , Aritra Banerjee , Sajal Mukherjee , Subhendra Mohanty

We extend the duality symmetry between the electric and the magnetic fields to the case in which an additional axion-like term is present, and we derive the set of Maxwell's equations that preserves this symmetry. This new set of equations…

Classical Physics · Physics 2022-06-14 Luca Visinelli

The memory effect in gravitational waves is a direct prediction of general relativity. The presence of the memory effect in gravitational wave signals not only serves as a test for general relativity but also establishes connections between…

General Relativity and Quantum Cosmology · Physics 2024-01-23 Shuo Sun , Changfu Shi , Jian-dong Zhang , Jianwei Mei

Gravitational-wave memory effects are lasting changes in the strain and its time integrals. They can be computed in asymptotically flat spacetimes using the conservation and evolution equations in the Bondi-Sachs framework. Modified…

General Relativity and Quantum Cosmology · Physics 2025-11-04 Shammi Tahura , David A. Nichols , Kent Yagi

The memory effect in gravitational wave (GW) signals is the phenomenon, wherein the relative position of two inertial GW detectors undergoes a permanent displacement owing to the passage of GWs through them. Measurement of the memory signal…

General Relativity and Quantum Cosmology · Physics 2024-04-17 Arpan Hait , Subhendra Mohanty , Suraj Prakash

The existence of gravitational radiation is a natural prediction of any relativistic description of the gravitational interaction. In this chapter, we focus on gravitational waves, as predicted by Einstein's general theory of relativity.…

General Relativity and Quantum Cosmology · Physics 2017-04-26 Alexandre Le Tiec , Jérôme Novak

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