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The gravitational wave equation of motion includes direct coupling to the Riemann tensor. The curvature terms are usually neglected, but they can be large at the location of matter particles and impact the angular diameter distance. We…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-23 Sena Atli , Syksy Rasanen

Gravitational-wave tails are linear waves that backscatter on the curvature of space-time generated by the total mass-energy of the source. The non-linear memory effect arises from gravitational waves sourced by the stress-energy…

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

We investigate the interaction between a non-rotating black hole and incoming gravitational waves using the characteristic formulation of the Einstein field equations, framed as a Bondi problem. By adopting retarded time as the null…

General Relativity and Quantum Cosmology · Physics 2025-05-16 H. P. de Oliveira

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

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 investigate the behavior of massless scalar, electromagnetic, and linearized gravitational perturbations near null infinity in d \geq 4 dimensional Minkowski spacetime (of both even and odd dimension) under the assumption that these…

General Relativity and Quantum Cosmology · Physics 2019-04-17 Gautam Satishchandran , Robert M. Wald

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

The dynamics of gravitational waves is investigated in full 3+1 dimensional numerical relativity, emphasizing the difficulties that one might encounter in numerical evolutions, particularly those arising from non-linearities and gauge…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Peter Anninos , Joan Masso , Edward Seidel , Wai-Mo Suen , Malcolm Tobias

Gravitational-wave memory is a non-linear effect predicted by general relativity that remains undetected. We apply a Bayesian analysis framework to search for gravitational-wave memory using binary black hole mergers in LIGO-Virgo-KAGRA's…

General Relativity and Quantum Cosmology · Physics 2024-04-19 Shun Yin Cheung , Paul D. Lasky , Eric Thrane

The gravitational memory effect leads to a net displacement in the relative positions of test particles. This memory is related to the change in the strain of the gravitational radiation field between infinite past and infinite future…

General Relativity and Quantum Cosmology · Physics 2016-08-03 Thomas Mädler , Jeffrey Winicour

The article deals with photon propagation in pp-wave spacetimes in the strong gravitational-wave regime and its consequences for redshift measurements. We show that null geodesics crossing a localized pp-wave pulse exhibit an energy memory…

General Relativity and Quantum Cosmology · Physics 2026-04-15 F. L. Carneiro , S. C. Ulhoa , J. W. Maluf

Gravitational waves can act like gravitational lenses, affecting the observed positions, brightnesses, and redshifts of distant objects. Exact expressions for such effects are derived here in general relativity, allowing for…

General Relativity and Quantum Cosmology · Physics 2015-08-26 Abraham I. Harte

We develop a general formalism for treating radiative degrees of freedom near $\mathscr{I}^{+}$ in theories with an arbitrary Ricci-flat internal space. These radiative modes are encoded in a generalized news tensor which decomposes into…

General Relativity and Quantum Cosmology · Physics 2022-02-07 Christian Ferko , Gautam Satishchandran , Savdeep Sethi

We consider gravitational wave production by bubble collisions during a cosmological first-order phase transition. In the literature, such spectra have been estimated by simulating the bubble dynamics, under so-called thin-wall and envelope…

Cosmology and Nongalactic Astrophysics · Physics 2017-01-11 Ryusuke Jinno , Masahiro Takimoto

In this paper we obtain the Fourier Transform of a continuous gravitational wave. We have analysed the data set for (i) one year observation time and (ii) arbitrary observation time, for arbitrary location of detector and source taking into…

General Relativity and Quantum Cosmology · Physics 2007-05-23 D. C. Srivastava , S. K. Sahay

Gravitational waves (GW), as light, are gravitationally lensed by intervening matter, deflecting their trajectories, delaying their arrival and occasionally producing multiple images. In theories beyond general relativity (GR), new…

General Relativity and Quantum Cosmology · Physics 2021-01-04 Jose María Ezquiaga , Miguel Zumalacárregui

In some modified theories of gravity, gravitational waves can contain up to six different polarizations, which can travel at speeds different from that of light. Searches for these different polarizations in gravitational wave data are…

General Relativity and Quantum Cosmology · Physics 2023-11-21 Kristen Schumacher , Nicolas Yunes , Kent Yagi

Gravitational memory effect has emerged as a new window and opened up several intriguing avenues in the field of gravitational wave astronomy together with its inter-connection to asymptotic symmetries (AS). The recent developments in this…

General Relativity and Quantum Cosmology · Physics 2022-03-22 Shailesh Kumar

Gravitational wave predicted by General Relativity is the transverse wave of spatial strain. Several gravitational waveform signals from binary black holes and from a binary neutron star system accompanied by electromagnetic counterparts…

General Relativity and Quantum Cosmology · Physics 2019-05-02 Kai Liao , Marek Biesiada , Xi-Long Fan

Gravitational-wave memory manifests as a permanent distortion of an idealized gravitational-wave detector and arises generically from energetic astrophysical events. For example, binary black hole mergers are expected to emit memory bursts…

Instrumentation and Methods for Astrophysics · Physics 2017-05-10 Lucy O. McNeill , Eric Thrane , Paul D. Lasky