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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

The violations of parity and Lorentz symmetries in gravity can change the propagating properties of gravitational waves (GWs) in the cosmological background, which can arise from a large number of parity- and Lorentz-violating theories. In…

General Relativity and Quantum Cosmology · Physics 2024-08-08 Tian-Chen Li , Tao Zhu , Wen Zhao , 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

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 study primordial gravitational waves produced during inflation in quantum gravity at a Lifshitz point proposed by Ho${\rm\check{r}}$ava. Assuming power-counting renormalizability, foliation preserving diffeomorphism invariance, and the…

High Energy Physics - Theory · Physics 2009-08-12 Tomohiro Takahashi , Jiro Soda

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

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 show that three-dimensional information is critical to discerning the effects of parity violation in the primordial gravity-wave background. If present, helical gravity waves induce parity-violating correlations in the cosmic microwave…

Cosmology and Nongalactic Astrophysics · Physics 2017-06-07 Kiyoshi Wesley Masui , Ue-Li Pen , Neil Turok

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

Recently, the cross-correlation between $E$- and $B$-mode polarization of the cosmic microwave background (CMB), which is well explained by cosmic birefringence with rotation angle $\beta\approx 0.3$ deg, has been found in CMB polarization…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-07 Tomohiro Fujita , Yuto Minami , Maresuke Shiraishi , Shuichiro Yokoyama

A stochastic gravitational-wave background (SGWB) is expected to arise from the superposition of many independent and unresolved gravitational-wave signals, of either cosmological or astrophysical origin. Some cosmological models…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 S. G. Crowder , R. Namba , V. Mandic , S. Mukohyama , M. Peloso

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

The pulsar timing array (PTA) collaborations have recently suggested the presence of a gravitational wave background at nano-Hertz frequencies. In this paper, we explore potential inflationary interpretation of this signal within the…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-14 Chengjie Fu , Jing Liu , Xing-Yu Yang , Wang-Wei Yu , Yawen Zhang

Parity violation in the gravitational interaction has an important impact on fundamental observables and the evolution of the universe. We here investigate for the first time our ability to probe the parity violating nature of the…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Nicholas Loutrel , Takahiro Tanaka , Nicolas Yunes

In this paper, we study the effects of parity violation on non-gaussianities of primordial gravitational waves in the framework of Ho\v{r}ava-Lifshitz theory of gravity, in which high-order spatial derivative operators, including the ones…

High Energy Physics - Theory · Physics 2013-10-29 Tao Zhu , Wen Zhao , Yongqing Huang , Anzhong Wang , Qiang Wu

Polarizations of primordial gravitational waves can be relevant when considering inflationary universe in modified gravity or when matter fields survive during inflation. Such polarizations have been discussed in the Bunch-Davies vacuum.…

General Relativity and Quantum Cosmology · Physics 2020-04-01 Sugumi Kanno , Jiro Soda

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 (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 investigate the scalar induced gravitational waves (SIGWs) in the Chern-Simons (CS) modified gravity during the radiation dominated era. The SIGWs are circularly polarized, which provide us a tool to test the possible parity violation in…

General Relativity and Quantum Cosmology · Physics 2022-10-19 Fengge Zhang , Jia-Xi Feng , Xian Gao
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