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We point out that there are only three polarizations for gravitational waves in $f(R)$ gravity, and the polarization due to the massive scalar mode is a mix of the pure longitudinal and transverse breathing polarization. The classification…

General Relativity and Quantum Cosmology · Physics 2017-05-31 Dicong Liang , Yungui Gong , Shaoqi Hou , Yunqi Liu

Massive gravitons are features of some alternatives to general relativity. This has motivated experiments and observations that, so far, have been consistent with the zero mass graviton of general relativity, but further tests will be…

High Energy Astrophysical Phenomena · Physics 2011-01-27 Kejia Lee , Fredrick A. Jenet , Richard H. Price , Norbert Wex , Michael Kramer

In this paper, we review the theoretical basis for generation of gravitational waves and the detection techniques used to detect a gravitational wave. To materialize this goal in a thorough way we first start with a mathematical background…

General Relativity and Quantum Cosmology · Physics 2024-01-01 Saibal Ray , R. Bhattacharya , Sanjay K. Sahay , Abdul Aziz , Amit Das

In this paper, we investigate the polarization modes of gravitational waves within the most general symmetric teleparallel gravity theory that allows for second-order field equations We consider both scenarios where test particles either…

General Relativity and Quantum Cosmology · Physics 2025-06-03 Yu-Qi Dong , Xiao-Bin Lai , Yu-Zhi Fan , Yu-Xiao Liu

I expand on the results of a recent work in which a novel weighting algorithm was shown to substantially increase the accuracy of an old, non-Bayesian computational approach for inferring the source direction of a gravitational wave from…

Instrumentation and Methods for Astrophysics · Physics 2020-03-31 Tom McClain

We study the gravitational waves in modified Gauss-Bonnet gravity. Applying the metric perturbation around a cosmological background, we obtain explicit expressions for the wave equations. It is shown that the speed of the traceless mode is…

General Relativity and Quantum Cosmology · Physics 2020-08-25 Tomohiro Inagaki , Masahiko Taniguchi

We study correlation analysis for monopole components of stochastic gravitational wave backgrounds, including the maximally allowed polarization degrees. We show that, for typical detector networks, the correlation analysis can probe…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-22 Hidetoshi Omiya , Naoki Seto

We investigate the detectability of massive mode of polarization of Gravitational Waves (GWs) in f(R) theory of gravity associated with Gamma Ray Bursts (GRBs) sources. We obtain the beam pattern function of Laser Interferometric…

General Relativity and Quantum Cosmology · Physics 2017-11-22 P. Prasia , V. C. Kuriakose

The direct detection of gravitational waves now provides a new channel of testing gravity theories. Despite that the parametrized post-Einsteinian framework is a powerful tool to quantitatively investigate effects of modification of gravity…

General Relativity and Quantum Cosmology · Physics 2019-11-07 Kei Yamada , Tatsuya Narikawa , Takahiro Tanaka

An additional scalar degree of freedom for a gravitational wave is often predicted in theories of gravity beyond general relativity and can be used for a model-agnostic test of gravity. In this letter, we report the direct search for the…

General Relativity and Quantum Cosmology · Physics 2022-04-27 Hiroki Takeda , Soichiro Morisaki , Atsushi Nishizawa

To determine the polarization character of gravitational waves, we use strain data from the GW170814 binary black hole coalescence event detected by the three LIGO-Virgo observatories, extracting the gravitational wave strain signal…

General Relativity and Quantum Cosmology · Physics 2021-07-07 Robert C. Hilborn

We investigate the novel features of gravitational wave solutions in $f(R)$ gravity under proper gauge considerations in the shifted Ricci scalar background curvature ($R^{1+\epsilon}$). The solution is further explored to study the…

General Relativity and Quantum Cosmology · Physics 2023-10-27 Vipin Kumar Sharma , Sreekanth Harikumar , Margherita Grespan , Marek Biesiada , Murli Manohar Verma

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

We provide analysis to determine the effects of gravitational waves on electromagnetic waves, using perturbation theory in general relativity. Our analysis is performed in a completely covariant manner without invoking any coordinates. For…

General Relativity and Quantum Cosmology · Physics 2021-02-02 Chan Park , Dong-Hoon Kim

We analyze the polarization content of gravitational waves in Horndeski theory. Besides the familiar plus and cross polarizations in Einstein's General Relativity, there is one more polarization state which is the mixture of the transverse…

General Relativity and Quantum Cosmology · Physics 2018-05-15 Shaoqi Hou , Yungui Gong , Yunqi Liu

In this paper, we study the gravitational wave polarization modes for some particular $f(R)$ models using Newman-Penrose formalism. We find two extra scalar modes of gravitational wave (longitudinal and transversal modes) in addition to two…

General Relativity and Quantum Cosmology · Physics 2017-12-06 M. Sharif , Aisha Siddiqa

General relativity predicts the existence of only two tensorial gravitational wave polarizations, while a generic metric theories of gravity can possess up to four additional polarizations, including two vector and two scalar ones. These…

General Relativity and Quantum Cosmology · Physics 2024-04-12 Shaoqi Hou , Xi-Long Fan , Tao Zhu , Zong-Hong Zhu

The two independent ``plus" and ``cross" polarization waveforms associated with the gravitational waves emitted by inspiralling, non-spinning, compact binaries are presented, ready for use in the data analysis of signals received by future…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Luc Blanchet , Bala R. Iyer , Clifford M. Will , Alan G. Wiseman

Gravitational wave (GW) data can be used to test the parity symmetry of gravity by investigating the difference between left-hand and right-hand circular polarization modes. In this article, we develop a method to decompose the circular…

General Relativity and Quantum Cosmology · Physics 2020-07-21 Wen Zhao , Tan Liu , Linqing Wen , Tao Zhu , Anzhong Wang , Qian Hu , Cong Zhou

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