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We propose a generic, phenomenological approach to modifying the dispersion of gravitational waves, independent of corrections to the generation mechanism. This model-independent approach encapsulates all previously proposed…

General Relativity and Quantum Cosmology · Physics 2017-05-31 Rhondale Tso , Maximiliano Isi , Yanbei Chen , Leo Stein

Rastall theory, originally introduced in 1972, suggests a violation of the usual conservation law. We consider two generalizations of Rastall theory: Brans-Dicke-Rastall theory and the newly established scalar-tensor-Rastall theory, the…

General Relativity and Quantum Cosmology · Physics 2025-04-08 Yu-Zhi Fan , Xiao-Bin Lai , Yu-Qi Dong , Yu-Xiao Liu

The teleparallel equivalent of higher order Lagrangians like $L_{\Box R}=-R+a_{0}R^{2}+a_{1}R\Box R$ can be obtained by means of the boundary term $B=2\nabla_{\mu}T^{\mu}$. In this perspective, we derive the field equations in presence of…

General Relativity and Quantum Cosmology · Physics 2020-12-02 Salvatore Capozziello , Maurizio Capriolo , Loredana Caso

The spatial covariant gravities provide a natural way to including odd-order spatial derivative terms into the gravitational action, which breaks the parity symmetry at gravitational sector. A lot of parity-violating scalar-tensor theories…

General Relativity and Quantum Cosmology · Physics 2023-02-08 Tao Zhu , Wen Zhao , Anzhong Wang

Symmetric teleparallel gravity (STG) offers an interesting third geometric interpretation of gravitation besides its formulation in terms of a spacetime metric and Levi-Civita connection or its teleparallel formulation. It describes gravity…

General Relativity and Quantum Cosmology · Physics 2020-07-08 Manuel Hohmann , Christian Pfeifer , Jackson Levi Said , Ulbossyn Ualikhanova

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

Strong-field gravitational plane waves are often represented in either the Rosen or Brinkmann forms. While these two metric ansatze are related by a coordinate transformation, so that they should describe essentially the same physics, they…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Bethan Cropp , Matt Visser

We develop a new approach to gravitational waves in which the Einstein equations are governed by the cosmological constant which is related to the existence of a manifold which is closed. We study an example in which the matter Lagrangian…

General Relativity and Quantum Cosmology · Physics 2015-03-20 Luis Santiago Ridao , Mauricio Bellini

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

General metric theories of gravity in four-dimensional spacetimes can contain at most six polarization modes (two spin-0, two spin-1 and two spin-2) of gravitational waves (GWs). It has been recently shown that, with using four GW…

General Relativity and Quantum Cosmology · Physics 2019-09-11 Yuki Hagihara , Naoya Era , Daisuke Iikawa , Atsushi Nishizawa , Hideki Asada

We peform a study of gravitational waves emitted by inspiraling black holes in the context of quadratic gravity. By linearizing the field equations around a flat background, we demonstrate that all degrees of freedom satisfy wave-like…

General Relativity and Quantum Cosmology · Physics 2023-02-13 Matheus F. S. Alves , Luís F. M. A. M. Reis , L. G. Medeiros

We study the cosmological propagation of gravitational waves (GWs) beyond general relativity (GR) across homogeneous and isotropic backgrounds. We consider scenarios in which GWs interact with an additional tensor field and use a…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-08 Jose Maria Ezquiaga , Wayne Hu , Macarena Lagos , Meng-Xiang Lin

We present a systematic and robust approach to nonlinear gravitational perturbations of vacuum spacetimes. This approach provides a basis for a theory of nonlinear gravitational waves. In particular, we show that the system of perturbative…

General Relativity and Quantum Cosmology · Physics 2017-12-27 Andrzej Rostworowski

Alternative theories of gravity predict up to six distinct polarization modes for gravitational waves. Strong gravitational lensing of gravitational waves allows us to probe the polarization content of these signals by effectively…

General Relativity and Quantum Cosmology · Physics 2022-11-03 Ignacio Magaña Hernandez

As an extension of our previous work [J.Qiao, T.Zhu, W.Zhao & A.Wang, arXiv:1909.03815], in this article, we calculate the effects of parity violation on gravitational-wave (GW) waveforms during their propagation in the most general…

General Relativity and Quantum Cosmology · Physics 2020-01-06 Wen Zhao , Tao Zhu , Jin Qiao , Anzhong Wang

We discuss polarization of gravitational radiation within the standard framework of linearized general relativity. The recent experimental discovery of gravitational waves provides the impetus to revisit the implications of the…

General Relativity and Quantum Cosmology · Physics 2022-12-22 Bahram Mashhoon , Sohrab Rahvar

The direct detection of gravitational waves opens the possibility to test general relativity and its alternatives in the strong field regime. Here we focus on the test of the existence of extra dimensions. The classification of…

General Relativity and Quantum Cosmology · Physics 2024-02-26 Yu-Qiang Liu , Yu-Qi Dong , Yu-Xiao Liu

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

Scalar-tensor gravity, with the screening mechanisms to avoid the severe constraints of the fifth force in the Solar System, can be described with a unified theoretical framework, the so-called screened modified gravity (SMG). Within this…

General Relativity and Quantum Cosmology · Physics 2018-10-31 Tan Liu , Xing Zhang , Wen Zhao , Kai Lin , Chao Zhang , Shaojun Zhang , Xiang Zhao , Tao Zhu , Anzhong Wang

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
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