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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

The recent discovery of gravitational wave events has offered us unique testbeds of gravity in the strong and dynamical field regime. One possible modification to General Relativity is the gravitational parity violation that gives rise to…

General Relativity and Quantum Cosmology · Physics 2018-05-23 Kent Yagi , Huan Yang

We propose a new strategy to probe non-tensorial polarizations in the stochastic gravitational-wave (GW) background. Averaging over polarization angles, we find that three-point correlations of the GW signal vanish for tensor and vector…

General Relativity and Quantum Cosmology · Physics 2025-09-11 N. M. Jiménez Cruz , Flavio C. Sánchez , Gianmassimo Tasinato

In this article, I present an elementary introduction to the theory of gravitational waves. This article is meant for students who have had an exposure to general relativity, but, results from general relativity used in the main discussion…

Physics Education · Physics 2007-05-23 Indrajit Chakrabarty

In modified gravity theories, the gravitational waves propagation are presented in nonstandard ways. We consider a friction term different from GR and constrain the modified gravitational waves propagation from observations. The modified…

Cosmology and Nongalactic Astrophysics · Physics 2022-07-12 Jun Li

It is shown that Birkhoff's theorem for the general theory of relativity is overcome in the $f(R)$-theory of gravitation. That means, the $f(R)$-theory of gravitation, unlike Einstein's general theory of relativity, does not forbid…

General Relativity and Quantum Cosmology · Physics 2024-04-18 Pham Van Ky , Nguyen Thi Hong Van , Nguyen Anh Ky

Alternative theories of gravity predict modifications in the propagation of gravitational waves (GW) through space-time. One of the smoking-gun predictions of such theories is the change in the GW luminosity distance to GW sources as a…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-08 Suvodip Mukherjee , Benjamin D. Wandelt , Joseph Silk

In some beyond-Einstein theories of gravity, gravitational waves can contain up to six polarizations, which are allowed to propagate at different speeds faster than light. These different propagation speeds imply that polarizations…

General Relativity and Quantum Cosmology · Physics 2025-01-31 Kristen Schumacher , Colm Talbot , Daniel E. Holz , Nicolás Yunes

In this study, the authors employ the analogy between continuum mechanics and general relativity to investigate, from the perspective of elasticity and crystal plasticity, the deformations of space measured by LIGO/VIRGO interferometers…

General Relativity and Quantum Cosmology · Physics 2025-08-14 David Izabel , Yves Remond , Matteo Luca Ruggiero

Gravitational wave memory is an important prediction of general relativity, which has not been detected yet. Amounts of memory events can form a stochastic gravitational wave memory background. Here we find that memory background can be…

General Relativity and Quantum Cosmology · Physics 2022-12-12 Zhi-Chao Zhao , Zhoujian Cao

The polarization of electromagnetic waves in the presence of a gravitational wave is analyzed. The rotation of the polarization angle and the Stokes parameters are deduced. A possible application to the detection of stochastic background of…

General Relativity and Quantum Cosmology · Physics 2016-02-03 Shahen Hacyan

Gravitational waves (GWs) have a great potential to probe cosmology. We review early universe sources that can lead to cosmological backgrounds of GWs. We begin by presenting definitions of GWs in flat space-time and in a cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2020-07-23 Chiara Caprini , Daniel G. Figueroa

Gravitational wave (GW) observations provide sensitive tests of parity and Lorentz symmetries of gravity. Any violation of these fundamental symmetries induces possible deviations in the GW propagations. Through a systematic parametrization…

General Relativity and Quantum Cosmology · Physics 2024-09-17 Tao Zhu , Wen Zhao , Jian-Ming Yan , Yuan-Zhu Wang , Cheng Gong , Anzhong Wang

Gravitational waves provide a unique window into gravity, cosmology, and high-energy physics, enabling the exploration of fundamental phenomena across a wide range of scales. This review presents a coherent and pedagogical framework that…

General Relativity and Quantum Cosmology · Physics 2025-12-25 Azadeh Maleknejad

Alternative theories of gravity predict the presence of massive scalar, vector, and tensor gravitational wave modes in addition to the standard massless spin~2 graviton of general relativity. The deflection and frequency shift effects on…

General Relativity and Quantum Cosmology · Physics 2009-10-29 S. Bellucci , S. Capozziello , M. De Laurentis , V. Faraoni

Binary Systems are the most studied sources of gravitational waves. The mechanisms of emission and the behavior of the orbital parameters are well known and can be written in analytic form in several cases. Besides, the strongest indication…

Cosmology and Nongalactic Astrophysics · Physics 2015-04-24 E. F. D. Evangelista , J. C. N. de Araujo

The recent LIGO detection of gravitational waves from black-hole binaries offers the exciting possibility of testing gravitational theories in the previously inaccessible strong-field, highly relativistic regime. While the LIGO detections…

General Relativity and Quantum Cosmology · Physics 2017-03-17 Enrico Barausse

We show that the gravitational wave source counts distribution can test how gravitational radiation propagates on cosmological scales. This test does not require obtaining redshifts for the sources. If the signal-to-noise ratio (SNR,…

General Relativity and Quantum Cosmology · Physics 2016-07-27 Erminia Calabrese , Nicholas Battaglia , David N. Spergel

We determine the possible gravitational wave polarizations in two general classes of teleparallel gravity theories, using the metric and symmetric teleparallel geometries. For this purpose we apply the Newman-Penrose formalism, and find…

General Relativity and Quantum Cosmology · Physics 2019-01-09 Manuel Hohmann

The properties of gravitational-wave (GW) propagation are modified in alternative theories of gravity and are crucial observables to test gravity at cosmological distance. The propagation speed has already been measured from GW170817 so…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Atsushi Nishizawa , Shun Arai