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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

Cosmological Gravitational Waves (GWs) are usually associated with the transverse-traceless part of the metric perturbations in the context of the theory of cosmological perturbations. These modes are just the usual polarizations `+' and…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Marcio E. S. Alves , Oswaldo D. Miranda , Jose C. N. de Araujo

Gravitational waves (GW) can constitute a unique probe of the primordial universe. In many cases, the characteristic frequency of the emitted GW is directly related to the energy scale at which the GW source is operating in the early…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Chiara Caprini

This review article is based on a seminar presented at the Higgs pairs workshop 2025. Stochastic gravitational wave backgrounds can serve as probe of the diverse phenomenology encountered in beyond-Standard-Model scenarios featuring phase…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-04 Chiara Caprini

This review is focused on tests of Einstein's theory of general relativity with gravitational waves that are detectable by ground-based interferometers and pulsar-timing experiments. Einstein's theory has been greatly constrained in the…

General Relativity and Quantum Cosmology · Physics 2024-08-13 Nicolas Yunes , Xavier Siemens , Kent Yagi

We develop a model-independent test of General Relativity that allows for the constraint of the gravitational wave (GW) polarization content with GW detections of binary compact object inspirals. We first consider three modified gravity…

General Relativity and Quantum Cosmology · Physics 2017-05-16 Katerina Chatziioannou , Nicolas Yunes , Neil Cornish

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

It is standard practice to study the lensing of gravitational waves (GW) using the geometric optics regime. However, in many astrophysical configurations this regime breaks down as the wavelength becomes comparable to the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2020-02-26 Giulia Cusin , Macarena Lagos

Gravity theories that modify General Relativity in the slow-motion regime can introduce nonperturbative corrections to the stochastic gravitational-wave background~(SGWB) from supermassive black-hole binaries in the nano-Hertz band, while…

General Relativity and Quantum Cosmology · Physics 2024-05-08 Enrico Cannizzaro , Gabriele Franciolini , Paolo Pani

The canonical methods for gravitational wave detection are ground- and space-based laser interferometry, pulsar timing, and polarization of the cosmic microwave background. But as has been suggested by numerous investigators, astrometry…

Instrumentation and Methods for Astrophysics · Physics 2018-07-25 Jeremy Darling , Alexandra E. Truebenbach , Jennie Paine

Gravitational wave (GW) astrophysics is entering a multi-band era with upcoming GW detectors, enabling detailed mapping of the stochastic GW background across vast frequencies. We highlight this potential via a new physics scenario: hybrid…

General Relativity and Quantum Cosmology · Physics 2025-11-26 Yunjia Bao , Tore Boybeyi , Vuk Mandic , Lian-Tao Wang

Scalar polarization modes of gravitational waves, which are often introduced in the context of the viable extension of gravity, have been actively searched. However, couplings of the scalar modes to the matter are strongly constrained by…

General Relativity and Quantum Cosmology · Physics 2023-07-19 Hiroki Takeda , Yusuke Manita , Hidetoshi Omiya , Takahiro Tanaka

We perform a new test of general relativity (GR) with signals from GWTC-2, the LIGO and Virgo catalog of gravitational wave detections. We search for the presence of amplitude birefringence, in which left versus right circularly polarized…

General Relativity and Quantum Cosmology · Physics 2022-10-07 Maria Okounkova , Will M. Farr , Maximiliano Isi , Leo C. Stein

The direct detection of gravitational waves (GWs) opened a new chapter in the modern cosmology to probe possible deviations from the general relativity (GR) theory. In the present work, we investigate for the first time the modified GW form…

General Relativity and Quantum Cosmology · Physics 2019-09-16 Rafael C. Nunes , Marcio E. S. Alves , Jose C. N. de Araujo

Gravitational wave (GW) observations provide a unique opportunity to test Einstein's General Relativity (GR) in the strong-field regime. While GR predicts only two tensor polarization modes, generic metric theories allow up to six…

General Relativity and Quantum Cosmology · Physics 2026-04-28 Sk Md Adil Imam , Macarena Lagos

Gravitational-wave experiments with interferometers and with resonant masses can search for stochastic backgrounds of gravitational waves of cosmological origin. We review both experimental and theoretical aspects of the search for these…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Michele Maggiore

We give a brief review on the recent development of gravitational waves in extra-dimensional theories of gravity. Studying extra-dimensional theories with gravitational waves provides a new way to constrain extra dimensions. After a flash…

General Relativity and Quantum Cosmology · Physics 2019-07-29 Hao Yu , Zi-Chao Lin , Yu-Xiao Liu

Most tests of general relativity with gravitational-wave observations rely on inferring the degree to which a signal deviates from general relativity in conjunction with the astrophysical parameters of its source, such as the component…

General Relativity and Quantum Cosmology · Physics 2023-12-22 Ethan Payne , Maximiliano Isi , Katerina Chatziioannou , Will M. Farr

In this paper, we focus on testing gravity theories in the radiative regime using pulsar timing array observations. After reviewing current techniques to measure the dispersion and alternative polarization of gravitational waves, we extend…

Cosmology and Nongalactic Astrophysics · Physics 2014-04-09 K. J. Lee

The Gaia mission offers a new opportunity to search for the low frequency gravitational wave background using astrometric measurements. In this paper, the astrometric effect of gravitational waves is reviewed, with a particular focus on the…

General Relativity and Quantum Cosmology · Physics 2018-06-27 Deyan P. Mihaylov , Christopher J. Moore , Jonathan R. Gair , Anthony Lasenby , Gerard Gilmore
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