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In this work, we discuss the polarization contents of Einstein-\ae ther theory and the generalized tensor-vector-scalar (TeVeS) theory, as both theories have a normalized timelike vector field. We derive the linearized equations of motion…

General Relativity and Quantum Cosmology · Physics 2018-04-25 Yungui Gong , Shaoqi Hou , Dicong Liang , Eleftherios Papantonopoulos

We analyze the propagation and polarization properties of high-frequency gravitational waves in Einstein-\AE ther theory on vorticity-free and slowly-varying backgrounds at both leading and next-to-leading orders within the geometric optics…

General Relativity and Quantum Cosmology · Physics 2026-01-21 Yu-Qi Dong , Shinji Mukohyama , Yu-Xiao Liu

Efforts are underway to improve the design and sensitivity of gravitational waves detectors, with the hope that the next generation of these detectors will observe a gravitational wave signal. Such a signal will not only provide information…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Eva Sagi

We study the polarization modes of gravitational waves in general Einstein-vector theory with an arbitrary constant background vector field under a Minkowski background. We compare these polarization modes with those of other vector-tensor…

General Relativity and Quantum Cosmology · Physics 2025-01-06 Xiao-Bin Lai , Yu-Qi Dong , Yu-Qiang Liu , Yu-Xiao Liu

Einstein's theory of general relativity predicts that gravitational waves (GWs) are tensor-polarized, with two modes of polarization: plus ($h_+$) and cross ($h_\times$). The unmodeled GW burst analysis pipeline, \textit{BayesWave}, offers…

General Relativity and Quantum Cosmology · Physics 2025-04-03 Yi Shuen C. Lee , Siddhant Doshi , Margaret Millhouse , Andrew Melatos

The direct detection of gravitational waves by LIGO/Virgo opened the possibility to test General Relativity and its alternatives in the high speed, strong field regime. Alternative theories of gravity generally predict more polarizations…

General Relativity and Quantum Cosmology · Physics 2018-08-10 Yungui Gong , Shaoqi Hou

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

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

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

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

Two polarization modes of gravitational wave are derived from the general relativity which are plus and cross modes. However, the alternative theories of gravity can yield the gravitational wave with up to six polarizations. Searching for…

General Relativity and Quantum Cosmology · Physics 2021-03-17 Gang Wang , Wen-Biao Han

In some modified theories of gravity, gravitational waves can contain up to six different polarizations, which can travel at speeds different from that of light. Searches for these different polarizations in gravitational wave data are…

General Relativity and Quantum Cosmology · Physics 2023-11-21 Kristen Schumacher , Nicolas Yunes , Kent Yagi

There exist six possible polarization modes of gravitational waves in general metric theory of gravity, while two tensor polarization modes are allowed in general relativity. The properties and number of polarization modes depend on gravity…

General Relativity and Quantum Cosmology · Physics 2019-08-28 Hiroki Takeda , Atsushi Nishizawa , Koji Nagano , Yuta Michimura , Kentaro Komori , Masaki Ando , Kazuhiro Hayama

In this paper, we systematically study spacetimes of gravitational plane waves in Einstein-aether theory. Due to the presence of the timelike aether vector field, now the problem in general becomes overdetermined. In particular, for the…

General Relativity and Quantum Cosmology · Physics 2018-10-24 Jacob Oost , Madhurima Bhattacharjee , Anzhong Wang

In a general metric theory of gravitation in four dimensions, six polarizations of a gravitational wave are allowed: two scalar and two vector modes, in addition to two tensor modes in general relativity. Such additional polarization modes…

Cosmology and Nongalactic Astrophysics · Physics 2009-11-06 Atsushi Nishizawa , Atsushi Taruya , Kazuhiro Hayama , Seiji Kawamura , Masa-aki Sakagami

In this paper, we establish a unified parameterized framework for analyzing the polarization modes of gravitational waves in the general metric theory (gravity is only described by the metric) and the general scalar-tensor theory (gravity…

General Relativity and Quantum Cosmology · Physics 2024-02-21 Yu-Qi Dong , Yu-Qiang Liu , Yu-Xiao Liu

Many studies have been carried out in the literature to evaluate the number of polarization modes of gravitational waves in modified theories, in particular in $f(R)$ theories. In the latter ones, besides the usual two transverse-traceless…

General Relativity and Quantum Cosmology · Physics 2018-07-26 H. Rizwana Kausar , Lionel Philippoz , Philippe Jetzer

General relativity has predicted the existence of gravitational waves (GW), which are waves of the distortions of space-time with two degrees of polarization and the propagation speed of light. Alternative theories predict more…

High Energy Astrophysical Phenomena · Physics 2015-05-28 K. J. Lee

In this paper, we study the gravitational waveforms, polarizations and radiation powers of the first relativistic triple systems PSR J0337 + 1715, observed in 2014, by using the post-Newtonian approximations to their lowest order. Although…

High Energy Astrophysical Phenomena · Physics 2019-10-23 Xiang Zhao , Chao Zhang , Kai Lin , Tan Liu , Rui Niu , Bin Wang , Shaojun Zhang , Xing Zhang , Wen Zhao , Tao Zhu , Anzhong Wang

Pulsar timing experiments aimed at the detection of gravitational radiation have been performed for decades now. With the forthcoming construction of large arrays capable of tracking multiple millisecond pulsars, it is very likely we will…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Marcio Eduardo da Silva Alves , Massimo Tinto
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