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There is currently no rigorous definition of gravitational wave strain at second order in cosmological perturbation theory. The usual association of gravitational waves with transverse and traceless fluctuations of the metric on spatial…

General Relativity and Quantum Cosmology · Physics 2026-01-05 Guillem Domènech , Shi Pi , Ao Wang

The stochastic gravitational wave (GW) background is secondarily and inevitably induced by the primordial curvature perturbations beyond the first order of the cosmological perturbation theory. We analytically calculate the integration…

General Relativity and Quantum Cosmology · Physics 2026-01-15 Takahiro Terada

Binary neutron stars (BNSs) and neutron star--black hole (NSBH) binaries are two of the most promising gravitational wave (GW) sources to probe matter effects. Upcoming observing runs of LIGO-Virgo-KAGRA detectors and future third…

General Relativity and Quantum Cosmology · Physics 2024-03-07 Dixeena Lopez , Shubhanshu Tiwari , Michael Ebersold

We investigate the new observational constraints on $f(T)$ gravity that arise from the effects of primordial gravitational waves (GWs) on the cosmic microwave background (CMB) anisotropies and the BB spectrum. We first show that on the GWs…

General Relativity and Quantum Cosmology · Physics 2018-11-30 Rafael C. Nunes , Supriya Pan , Emmanuel N. Saridakis

Gravitational waves induced by large primordial curvature fluctuations may result in a sizable stochastic gravitational wave background. Interestingly, curvature fluctuations are gradually generated by initial isocurvature fluctuations,…

General Relativity and Quantum Cosmology · Physics 2023-11-06 Guillem Domènech

Gravitational shockwaves produce perturbations of field systems. We study classical scalar and electromagnetic fields and gravitational memory effects left after the action on the fields of plane-fronted gravitational shockwaves. The…

General Relativity and Quantum Cosmology · Physics 2025-10-28 Dmitri V. Fursaev

Gravitational waves from cosmic strings are generated in the first fractions of a second after the Big Bang, potentially providing a unprecedented probe of the early universe. We discuss the key dynamical processes underlying calculations…

Astrophysics · Physics 2007-05-23 R. A. Battye , R. R. Caldwell , E. P. S. Shellard

We compute the non-linear memory contributions to the gravitational-wave amplitudes for compact binaries in eccentric orbits at the third post-Newtonian (3PN) order in general relativity. These contributions are hereditary in nature as they…

General Relativity and Quantum Cosmology · Physics 2019-10-22 Michael Ebersold , Yannick Boetzel , Guillaume Faye , Chandra K. Mishra , Bala R. Iyer , Philippe Jetzer

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

In this paper, we study the gravitational memory effect in pp-wave spacetimes due to the passage of a pulse having the form of a ramp profile through this spacetime. We have analyzed the effect of this pulse on the evolution of nearby…

General Relativity and Quantum Cosmology · Physics 2024-06-17 Sucheta Datta , Sarbari Guha

We discuss the detectability of gravitational waves with a time dependent mass contribution, by means of the stochastic gravitational wave observations. Such a mass term typically arises in the cosmological solutions of massive gravity…

High Energy Physics - Theory · Physics 2012-12-13 A. Emir Gumrukcuoglu , Sachiko Kuroyanagi , Chunshan Lin , Shinji Mukohyama , Norihiro Tanahashi

It has been a half-decade since the first direct detection of gravitational waves, which signifies the coming of the era of the gravitational-wave astronomy and gravitational-wave cosmology. The increasing number of the detected…

We investigate the influence of a gravitational wave background on particles in circular motion. We are especially interested in waves leading to stationary orbits. This consideration is limited to circular orbits perpendicular to the…

General Relativity and Quantum Cosmology · Physics 2018-05-09 Manfried Faber , Martin Suda

This article aims at comparing gravitational wave memory effect in a Schwarzschild spacetime with that of other compact objects with static and spherically symmetric spacetime, with the purpose of proposing a procedure for differentiating…

General Relativity and Quantum Cosmology · Physics 2023-09-12 Soumya Bhattacharya , Shramana Ghosh

We investigate new optical effects of nonlinear gravitational waves that arise from hereditary effects. Firstly, we show that the amplitude of continuous plane waves has a hereditary effect that grows with distance. This can make the…

General Relativity and Quantum Cosmology · Physics 2025-01-22 Yu-Qiang Liu , Yu-Qi Dong , Yu-Xiao Liu

Corrections to the relativistic theory of orbits are discussed considering higher order approximations induced by gravitomagnetic effects. Beside the standard periastron effect of General Relativity (GR), a new nutation effect was found due…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Salvatore Capozziello , Mariafelicia De Laurentis , Luca Forte , Fabio Garufi , Leopoldo Milano

Gravitational waves are inevitably produced by second order terms in cosmological perturbation theory. Most notably, the so-called induced gravitational waves are a window to the small scales part of the primordial spectrum of fluctuations…

General Relativity and Quantum Cosmology · Physics 2020-04-22 Guillem Domènech

The propagation of high-frequency gravitational waves can be analyzed using the geometrical optics approximation. In the case of large but finite frequencies, the geometrical optics approximation is no longer accurate, and…

General Relativity and Quantum Cosmology · Physics 2021-03-03 Lars Andersson , Jérémie Joudioux , Marius A. Oancea , Ayush Raj

First order phase transitions in the early universe can give rise to a stochastic background of gravitational waves. A hypothetical first order electroweak phase transition is particularly interesting in this respect, since the signal is in…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-17 Chiara Caprini

I discuss the generation of a stochastic background of gravitational waves during a first order phase transition. I present simple general arguments which explain the main features of the gravitational wave spectrum like the $k^3$ power law…

Cosmology and Nongalactic Astrophysics · Physics 2010-06-02 Ruth Durrer