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The recent compelling observation of the nanohertz stochastic gravitational wave background has brought to light a new galactic arena to test gravity. In this paper, we derive a formula for the most general expression of the stochastic…

General Relativity and Quantum Cosmology · Physics 2024-04-12 Reginald Christian Bernardo , Guo-Chin Liu , Kin-Wang Ng

Departure from idealised plane waves gives rise to intricate geometric structures in wave fields. One such structure is the polarisation singularity, which emerges when multiple monochromatic waves interfere (such as would be the case for…

General Relativity and Quantum Cosmology · Physics 2026-03-02 Claire Rigouzzo , Sebastian Golat , Alex J. Vernon , Kyan Louisia , Eugene Lim , Francisco J. Rodriguez-Fortuno

Extensions to General Relativity (GR) allow the polarization of gravitational waves (GW) from astrophysical sources to suffer from amplitude and velocity birefringence, which respectively induce changes in the ellipticity and orientation of…

General Relativity and Quantum Cosmology · Physics 2024-02-09 Macarena Lagos , Leah Jenks , Maximiliano Isi , Kenta Hotokezaka , Brian D. Metzger , Eric Burns , Will M. Farr , Scott Perkins , Kaze W. K. Wong , Nicolas Yunes

One key prediction of General Relativity is that gravitational waves are emitted with a pure spin-2 polarisation. Any extra polarisation mode, spin-1 or spin-0, is consequently considered a smoking gun for deviations from General…

General Relativity and Quantum Cosmology · Physics 2025-01-29 Camille Bonvin , Giulia Cusin , Cyril Pitrou , Simone Mastrogiovanni , Giuseppe Congedo , Jonathan Gair

We extend our previous work on applying CMB techniques to the mapping of gravitational-wave backgrounds to backgrounds which have non-GR polarisations. Our analysis and results are presented in the context of pulsar-timing array…

General Relativity and Quantum Cosmology · Physics 2015-12-02 Jonathan R. Gair , Joseph D. Romano , Stephen R. Taylor

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 rotation of the bodies and the eccentricity of the orbit have significant effects on the emitted gravitational radiation of binary systems. This work focuses on the evaluation of the gravitational wave polarization states for spinning…

General Relativity and Quantum Cosmology · Physics 2008-11-26 János Majár , Mátyás Vasúth

We write the equation of geodesic deviations in the spacetime of $pp$-waves in terms of the Newman-Penrose scalars and apply it to study gravitational waves in quadratic curvature gravity. We show that quadratic curvature gravity $pp$-waves…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Edgard C. de Rey Neto

We investigate the propagation of the gravitational waves in a cosmological background. Based on the framework of spatially covariant gravity, we derive the general quadratic action for the gravitational waves. The spatial derivatives of…

General Relativity and Quantum Cosmology · Physics 2020-04-01 Xian Gao , Xun-Yang Hong

We describe the signatures of a circularly polarized gravitational-wave background on the timing residuals obtained with pulsar-timing arrays. Most generally, the circular polarization will depend on the gravitational-wave direction, and we…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-08 Enis Belgacem , Marc Kamionkowski

Gravitational wave astronomy has opened an unprecedented window onto tests of gravity and fundamental physics in the strong-field regime. In this study, we examine a series of well-motivated deviations from the classical Kerr solution of…

General Relativity and Quantum Cosmology · Physics 2026-04-07 Zhe Zhao , Swarnim Shashank , Debtroy Das , Cosimo Bambi

In this article, the energy density of plane gravitational wave is studied by using Einstein and M{\o}ller's prescription of energy-momentum pseudotensors. The linearly polarized plan gravitational wave solution of Einstein field equation,…

General Relativity and Quantum Cosmology · Physics 2022-05-04 I-Ching Yang

The circular polarization of gravitational waves is a powerful observable to test parity violation in gravity and to distinguish between the primordial or the astrophysical origin of the stochastic background. This property comes from the…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-02 Lorenzo Valbusa Dall'Armi , Atsushi Nishizawa , Angelo Ricciardone , Sabino Matarrese

The direct observation of gravitational waves will provide a unique tool for probing the dynamical properties of highly compact astrophysical objects, mapping ultra-relativistic regions of space-time, and testing Einstein's general theory…

General Relativity and Quantum Cosmology · Physics 2011-01-17 Massimo Tinto , Márcio Eduardo da Silva Alves

Gravitational waves (GWs) provide an excellent opportunity to test the gravity in the strong gravitational fields. In this article, we calculate the waveform of GWs, produced by the coalescence of compact binaries, in an extension of the…

General Relativity and Quantum Cosmology · Physics 2020-01-01 Jin Qiao , Tao Zhu , Wen Zhao , Anzhong Wang

Gravitational waves are considered as metric perturbations about a curved background metric, rather than the flat Minkowski metric since several situations of physical interest can be discussed by this generalization. In this case, when the…

General Relativity and Quantum Cosmology · Physics 2008-12-21 Donato Bini , Salvatore Capozziello , Giampiero Esposito

Einstein's General Theory of Relativity predicted the existence of gravitational waves (GWs), which offer a way to explore cosmic events like binary mergers and could help resolve the Hubble Tension. The Hubble Tension refers to the…

General Relativity and Quantum Cosmology · Physics 2025-01-07 Rishav Laloo , Prachi Gupta , Arun Kenath

The theory of gravitational wave turbulence describes the long-term statistical behaviour of a set of weakly nonlinear interacting waves. In this paper, we aim to study aspects of gravitational turbulence within the framework of general…

General Relativity and Quantum Cosmology · Physics 2026-04-01 Benoît Gay , Eugeny Babichev , Sébastien Galtier , Karim Noui

We derive the effects of a non-zero cosmological constant $\Lambda$ on gravitational wave propagation in the linearized approximation of general relativity. In this approximation we consider the situation where the metric can be written as…

High Energy Physics - Theory · Physics 2012-09-17 José Bernabeu , Domènec Espriu , Daniel Puigdomènech

The gravitational constant variation means the breakdown of the strong equivalence principle. As the cornerstone of general relativity, the validity of general relativity can be examined by studying the gravitational constant variation.…

General Relativity and Quantum Cosmology · Physics 2023-11-28 Bing Sun , Jiachen An , Zhoujian Cao
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