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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

The tests of parity symmetry in the gravitational interaction is an attractive issue in the gravitational-wave astronomy. In the general theories of gravity with parity violation, one of the fundamental results is that the primordial…

Cosmology and Nongalactic Astrophysics · Physics 2020-02-26 Jin Qiao , Tao Zhu , Wen Zhao , Anzhong Wang

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 study primordial gravitational waves (PGWs) in the Horava-Lifshitz (HL) theory of quantum gravity, in which high-order spatial derivative operators, including the ones violating parity, generically appear in order for the theory to be…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-10 Anzhong Wang , Qiang Wu , Wen Zhao , Tao Zhu

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

The examination of parity symmetry in gravitational interactions has drawn increasing attention. Although Einstein's General Relativity is parity-conserved, numerous theories of parity-violating (PV) gravity in different frameworks have…

General Relativity and Quantum Cosmology · Physics 2023-02-15 Jin Qiao , Zhao Li , Tao Zhu , Ran Ji , Guoliang Li , Wen Zhao

High-order spatial derivatives are of crucial importance for constructing the low energy effective action of a Lorentz or parity violating theory of quantum gravity. One example is the Ho\v{r}ava-Lifshitz gravity, in one has to consider at…

General Relativity and Quantum Cosmology · Physics 2022-03-02 Cheng Gong , Tao Zhu , Rui Niu , Qiang Wu , Jing-Lei Cui , Xin Zhang , Wen Zhao , Anzhong Wang

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

We study both primordial gravitational waves (GWs) and scalar-induced gravitational waves (SIGWs) in a class of the parity-violating scalar-tensor (PVST) theory, of which the Lagrangian is the linear combination of seven ghost-free…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Jia-Xi Feng , Jia-Yuan Fang , Xian Gao

We explore a theoretical framework in which Lorentz symmetry is explicitly broken by incorporating derivative terms of the extrinsic curvature into the gravitational action. These modifications introduce a scale-dependent damping effect in…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-21 Alireza Allahyari , Mohammadreza Davari , David F. Mota

We investigate the parity-violating effects in primordial gravitational waves (GWs) due to null energy condition (NEC) violation in two very early universe scenarios: bounce-inflation and intermediate NEC violation during inflation. In both…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-16 Zi-Wei Jiang , Yong Cai , Fei Wang , Yun-Song Piao

This paper focuses on how the production and polarization of gravitational waves are affected by spontaneous Lorentz symmetry breaking, which is driven by a self-interacting vector field. Specifically, we examine the impact of a smooth…

General Relativity and Quantum Cosmology · Physics 2024-06-13 K. M. Amarilo , M. B. Ferreira Filho , A. A. Araújo Filho , J. A. A. S. Reis

Considering high-energy modifications of Einstein gravity during inflation is an interesting issue. We can constrain the strength of the new gravitational terms through observations of inflationary imprints in the actual universe. In this…

Cosmology and Nongalactic Astrophysics · Physics 2017-07-26 Nicola Bartolo , Giorgio Orlando

In this paper, we analyze parity-violating effects in the propagation of gravitational waves (GWs). For this purpose, we adopt a newly proposed parametrized post-Einstenian (PPE) formalism, which encodes modified gravity corrections to the…

General Relativity and Quantum Cosmology · Physics 2024-06-05 Matteo Califano , Rocco D'Agostino , Daniele Vernieri

We investigate the scalar induced gravitational waves (SIGWs) in the Chern-Simons (CS) gravity with a dynamical scalar field during slow roll inflation. Due to the parity violation in the CS term, the SIGWs are generally polarized, which…

General Relativity and Quantum Cosmology · Physics 2023-07-26 Jia-Xi Feng , Fengge Zhang , Xian Gao

Lorentz violation modifies the dispersion relation of gravitational waves (GWs), and induces birefringence and anisotropy in propagation. Our study shows that Lorentz violation can also activate multiple polarizations of GWs. We use the…

General Relativity and Quantum Cosmology · Physics 2022-12-20 Dicong Liang , Rui Xu , Xuchen Lu , Lijing Shao

We investigate the propagation of gravitational waves in the presence of Lorentz- and diffeomorphism-violating operators within the linearized gravitational sector of the Standard Model Extension. Focusing on isotropic contributions, we…

General Relativity and Quantum Cosmology · Physics 2026-05-19 A. A. Araújo Filho , N. Heidari , Iarley P. Lobo

[Abridged] In slow roll inflation, the power spectrum (PS) of primary gravitational waves (PGWs) generated from the quantum vacuum rises as $k^2$ over wave numbers $k$ which never leave the Hubble radius. In fact, over such small scales,…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-19 Alipriyo Hoory , Jerome Martin , Arnab Paul , L. Sriramkumar

Gravitational parity violation arises in a variety of theories beyond general relativity. Gravitational waves in such theories have their propagation altered, leading to birefringence effects in both the amplitude and speed of the wave. In…

General Relativity and Quantum Cosmology · Physics 2023-05-19 Leah Jenks , Lyla Choi , Macarena Lagos , Nicolás Yunes

Pulsar timing arrays probe isotropic stochastic gravitational wave (GW) backgrounds in the nanohertz band but are insensitive to its parity-violating component. Motivated by recent progress in pulsar polarization arrays, we study the…

General Relativity and Quantum Cosmology · Physics 2026-04-06 Qiuyue Liang , Kimihiro Nomura , Hidetoshi Omiya
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