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Gravitational waves (GWs) are useful to test gravitational theories and to probe the physics in the early universe. In this paper, we investigate the scalar induced gravitational waves (SIGWs) in symmetric teleparallel gravity with a…

General Relativity and Quantum Cosmology · Physics 2023-09-15 Fengge Zhang , Jia-Xi Feng , Xian Gao

The question of whether the parity violation occurs in gravitational interaction has recently attracted much attention. In this paper, we investigate the scalar induced gravitational waves (SIGWs) in symmetric teleparallel gravity…

General Relativity and Quantum Cosmology · Physics 2025-08-21 Fengge Zhang

We study the scalar induced gravitational waves (SIGWs) from a chiral scalar-tensor theory of gravity. The parity-violating (PV) Lagrangian contains the Chern-Simons (CS) term and PV scalar-tensor terms, which are built of the quadratic…

General Relativity and Quantum Cosmology · Physics 2024-08-28 Jia-Xi Feng , Fengge Zhang , Xian Gao

The discovery of gravitational waves (GWs) from the compact binary components by LIGO/Virgo Collaboration provides an unprecedented opportunity for testing gravity in the strong and highly dynamical field regime of gravity. Currently a lot…

General Relativity and Quantum Cosmology · Physics 2022-02-10 Qiang Wu , Tao Zhu , Rui Niu , Wen Zhao , Anzhong Wang

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

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

Scalar-Induced Gravitational Waves (SIGWs), second-order tensor modes sourced by first-order scalar fluctuations in General Relativity (GR), are expected to contribute to the Stochastic Gravitational Wave Background (SGWB) potentially…

General Relativity and Quantum Cosmology · Physics 2025-07-11 Anjali Abirami Kugarajh , Marisol Traforetti , Andrea Maselli , Sabino Matarrese , Angelo Ricciardone

We study the inflationary implications of a novel parity-violating gravity model, which modifies the teleparallel equivalent of general relativity by introducing the Nieh-Yan term coupled to an axion-like field. The parity-violating…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-14 Rong-Gen Cai , Chengjie Fu , Wang-Wei Yu

Parity-violation leaves tell-tale trails in many cosmological observables. We illustrate parity-odd primordial scalar trispectra, that despite being of modest strength, impart detectable chirality to scalar-induced gravitational waves…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-08 H. V. Ragavendra , Nicola Bartolo

We investigate scalar-induced gravitational waves (SIGWs) in the framework of spatially covariant gravity (SCG), a broad class of Lorentz-violating modified gravity theories respecting only spatial diffeomorphism invariance. Extending…

General Relativity and Quantum Cosmology · Physics 2026-02-13 Jiehao Jiang , Jieming Lin , Xian Gao

We give an analytical approximation for the energy spectrum of the scalar-induced gravitational waves (SIGWs) generated by a broken power-law power spectrum, and find that both the asymptotic power-law tails and the intermediate peak…

General Relativity and Quantum Cosmology · Physics 2025-04-30 Chong-Zhi Li , Chen Yuan , Qing-guo Huang

In this letter we calculate the scalar induced gravitational waves (SIGWs) accompanying the formation of primordial black hole during the radiation dominated era in three different gauges, i.e. synchronous gauge, Newton gauge and uniform…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-28 Chen Yuan , Zu-Cheng Chen , Qing-Guo Huang

Primordial black holes (PBHs) forming out of the collapse of enhanced cosmological perturbations provide access to the early Universe through their associated observational signatures. In particular, enhanced cosmological perturbations…

General Relativity and Quantum Cosmology · Physics 2023-06-21 Charalampos Tzerefos , Theodoros Papanikolaou , Emmanuel N. Saridakis , Spyros Basilakos

We analytically study the gauge dependence of scalar-induced gravitational waves (SIGWs) sourced by primordial isocurvature perturbations during radiation domination (RD), working across nine gauges. Through analytical integrations of the…

General Relativity and Quantum Cosmology · Physics 2026-03-17 Arshad Ali , Yang Lei , Mudassar Sabir

We revisit the vital issue of gauge dependence in the scalar-induced secondary gravitational waves (SIGWs), focusing on the radiation domination (RD) and matter domination (MD) eras. The energy density spectrum is the main physical…

General Relativity and Quantum Cosmology · Physics 2023-08-10 Arshad Ali , Ya-Peng Hu , Mudassar Sabir , Taotao Sui

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

The Nieh-Yan modified teleparallel gravity is a model which modifies the general relativity equivalent teleparallel gravity by a coupling between the Nieh-Yan density and an axion-like field. This model predicts parity violations in the…

General Relativity and Quantum Cosmology · Physics 2023-05-17 Mingzhe Li , Haomin Rao

We study the scattering of gravitational waves by axion domain walls in teleparallel gravity with the Nieh-Yan term. Since a domain wall causes the parity violation, the transmitted gravitational waves also exhibit the parity violation. We…

General Relativity and Quantum Cosmology · Physics 2025-12-17 Jiro Soda , Maki Takeuchi

Scalar-induced gravitational waves (SIGWs) have recently attracted considerable interest, both as a possible explanation for the nanohertz signal reported by the Pulsar Timing Array (PTA) collaboration and for their connection with…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-15 William Iania , Angelo Ricciardone

The cosmological propagation of tensor perturbations is studied in the context of parity-violating extensions of the symmetric teleparallel equivalent of General Relativity theory. This non-Riemannian formulation allows for a wider variety…

General Relativity and Quantum Cosmology · Physics 2019-12-11 Aindriú Conroy , Tomi Koivisto
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