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Gravitational waves in general relativity are non-dispersive, yet a host of modified theories predict dispersion effects during propagation. In this work, we consider the impact of dispersion effects on gravitational-wave bursts from highly…

General Relativity and Quantum Cosmology · Physics 2026-04-30 Nicholas Loutrel , Ava Bailey , Davide Gerosa

Gravitational waves from a source moving relative to us can suffer from special-relativistic effects such as aberration. The required velocities for these to be significant are on the order of $1000\,\textrm{km s}^{-1}$. This value…

General Relativity and Quantum Cosmology · Physics 2021-07-28 Alejandro Torres-Orjuela , Pau Amaro Seoane , Zeyuan Xuan , Alvin J. K. Chua , María J. B. Rosell , Xian Chen

Based on the relationship between proper distance and coordinate distance, the geometrical phenomenon caused by the passing gravitational waves can not be observed locally. The electromagnetic wave equations in the background gravitational…

General Relativity and Quantum Cosmology · Physics 2018-11-13 Wenyu Wang , Yang Xu

The detection of gravitational waves from extreme-mass-ratio inspirals with upcoming space-borne detectors will allow for unprecedented tests of general relativity in the strong-field regime. Aside from assessing whether black holes are…

General Relativity and Quantum Cosmology · Physics 2021-09-08 Kyriakos Destounis , Kostas D. Kokkotas

The diffraction patterns of lensed gravitational waves encode information about their propagation speeds. If gravitons have mass, the dispersion relation and speed of gravitational waves will be affected in a frequency-dependent manner,…

General Relativity and Quantum Cosmology · Physics 2021-12-23 Ka-Wai Chung , Tjonnie Guang Feng Li

We describe a method by which gravitational wave observations of eccentric binary systems could be used to test General Relativity's prediction that gravitational waves are dispersionless. We present our results in terms of the graviton…

General Relativity and Quantum Cosmology · Physics 2011-05-23 D I Jones

We demonstrate that mechanical waves traveling in a torsional, mechanical wave machine exhibit dispersion due to gravity and the discreteness of the medium. We also show that although the dispersion due to discreteness is negligible, the…

Classical Physics · Physics 2015-06-22 Rafael de la Madrid , Alejandro Gonzalez , George Irwin

Electromagnetic methods recently proposed for detecting gravitational waves modify the Michelson phase shift analysis (historically employed for special relativity). We suggest that a frequency modulation analysis is more suited to general…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. Sivasubramanian , Y. N. Srivastava , A. Widom

Using black hole perturbation theory, we calculate the gravitational waves produced by test particles moving on bound geodesic orbits about rotating black holes. The orbits we consider are generic - simultaneously eccentric and inclined.…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Steve Drasco , Scott A. Hughes

We analyze the propagation of gravitational waves in a medium containing bounded subsystems ("molecules"), able to induce significant Macroscopic Gravity effects. We establish a precise constitutive relation between the average quadrupole…

General Relativity and Quantum Cosmology · Physics 2019-07-26 Giovanni Montani , Fabio Moretti

The fundamental process of detecting and examining the polarization modes of gravitational waves plays a pivotal role in enhancing our grasp on the precise mechanisms behind their generation. A thorough investigation is essential for…

General Relativity and Quantum Cosmology · Physics 2024-10-16 Shailesh Kumar , Rishabh Kumar Singh , Abhishek Chowdhuri , Arpan Bhattacharyya

The upcoming detection of gravitational waves by terrestrial interferometers will usher in the era of gravitational-wave astronomy. This will be particularly true when space-based detectors will come of age and measure the mass and spin of…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 Enrico Barausse , Vitor Cardoso , Paolo Pani

Extreme mass ratio inspirals, in which a stellar-mass object merges with a supermassive black hole, are prime sources for space-based gravitational wave detectors because they will facilitate tests of strong gravity and probe the spacetime…

Astrophysics of Galaxies · Physics 2011-02-22 Nicolas Yunes , M. Coleman Miller , Jonathan Thornburg

Is the graviton massless? This problem was addressed in the literature at a phenomenological level, using modified dispersion relations for gravitational waves, in linearized calculations around flat space. Here, we perform a detailed…

General Relativity and Quantum Cosmology · Physics 2018-12-26 Vitor Cardoso , Gonçalo Castro , Andrea Maselli

The models currently used in the detection of gravitational waves (GWs) either do not consider a relative motion between the center-of-mass of the source and the observer, or usually only consider its effect on the frequencies of GWs.…

High Energy Astrophysical Phenomena · Physics 2020-04-28 Alejandro Torres-Orjuela , Xian Chen , Zhoujian Cao , Pau Amaro-Seoane , Peng Peng

Modified gravity theories generically predict a violation of Lorentz invariance, which may lead to a modified dispersion relation for propagating modes of gravitational waves. We construct a parametrized dispersion relation that can…

General Relativity and Quantum Cosmology · Physics 2014-12-02 Saeed Mirshekari , Nicolas Yunes , Clifford M. Will

We analyze the propagation of gravitational waves in a molecular matter medium: our findings demonstrate that dispersion only is expected, together with the emergence of three extra polarizations, able to induce longitudinal stresses. We…

General Relativity and Quantum Cosmology · Physics 2023-02-08 Fabio Moretti , Giovanni Montani

Gravitational waves (GWs) are direct probes of cosmological gravity, sensitive to space-time inhomogeneities along their propagation. The presence of massive objects breaks homogeneity and isotropy, allowing for new interactions between…

General Relativity and Quantum Cosmology · Physics 2025-11-12 Nicola Menadeo , Serena Giardino , Miguel Zumalacárregui

Using recent experimental results of detection of gravitational waves from the binary black hole signals by Advanced LIGO and Advanced Virgo, we investigate the propagation of gravitational waves in the context of fourth order gravity…

General Relativity and Quantum Cosmology · Physics 2021-03-17 Gaetano Lambiase , Mairi Sakellariadou , Antonio Stabile

We establish a generic, fully-relativistic formalism to study gravitational-wave emission by extreme-mass-ratio systems in spherically-symmetric, non-vacuum black-hole spacetimes. The potential applications to astrophysical setups range…

General Relativity and Quantum Cosmology · Physics 2022-12-21 Vitor Cardoso , Kyriakos Destounis , Francisco Duque , Rodrigo Panosso Macedo , Andrea Maselli
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