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Many parity violating gravity models suffer from the ghost instability problem. In this paper, we consider a symmetric teleparallel gravity model that extends the general relativity equivalent model by several parity violating interactions…

General Relativity and Quantum Cosmology · Physics 2022-08-23 Mingzhe Li , Yeheng Tong , Dehao Zhao

In this paper we consider the parity violating gravity model within the framework of teleparallel gravity. The parity violations are caused by the couplings of a scalar field to the scalar invariants which are parity-odd and quadratic in…

General Relativity and Quantum Cosmology · Physics 2022-08-31 Mingzhe Li , Zhihao Li , Haomin Rao

The parity violating gravity models based on the symmetric teleparallel gravity have been considered in the literature, but their applications in cosmology and especially the modifications to cosmological perturbations have not been fully…

General Relativity and Quantum Cosmology · Physics 2022-03-08 Mingzhe Li , Dehao Zhao

The parity violating model based on teleparallel gravity is a competitive scheme for parity violating gravity, which has been preliminary studied in the literature. To further investigate the parity violating model in teleparallel gravity,…

General Relativity and Quantum Cosmology · Physics 2023-08-23 Haomin Rao , Dehao Zhao

We explore the possibility of parity-violating, nonminimally coupled 2-form field theories that retain the same dynamical degrees of freedom as a massive 2-form and thus are ghost-free. Starting from the most general kinetic terms and…

General Relativity and Quantum Cosmology · Physics 2025-12-22 Yuki Horii , Tomoaki Murata , Tsutomu Kobayashi

Recently, based on the theory of teleparallel gravity, a simple and ghost free parity violating gravity model was proposed in [M. Li, H. Rao, and D. Zhao, J. Cosmol. Astropart. Phys. 11 (2020) 023], where the Weitzenb\"{o}ck connection was…

General Relativity and Quantum Cosmology · Physics 2021-11-03 Mingzhe Li , Haomin Rao , Yeheng Tong

In this paper, we consider a symmetric teleparallel gravity model that extends the general relativity equivalent model by several parity violating interactions between the gravitational field and a scalar field. We derive three different…

General Relativity and Quantum Cosmology · Physics 2025-05-22 Yeheng Tong

Recently the modified teleparallel gravity models attracted a lot of interests. In this paper we consider more extensions to the New General Relativity (NGR) model with parity violations. This extended NGR model differs from the normal NGR…

General Relativity and Quantum Cosmology · Physics 2025-10-28 Yuxuan Kang , Mingzhe Li , Yeheng Tong

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

In this paper, the ghost-freeness of the higher derivative theory proposed by Hassan et al. in [Universe 1 (2015) 2, 92] is investigated. Hassan et al. believed the ghost-freeness of the higher derivative theory based on the analysis in the…

High Energy Physics - Theory · Physics 2018-06-07 Satoshi Akagi

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

This paper presents a new higher derivative gravity which in spontaneous breaking electroweak symmetry state does not have ghost in gravity sector. We show that Newton constant of the gravity and dark energy density they depend on the…

High Energy Physics - Theory · Physics 2015-06-04 V. I. Tkach

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

We revisit models, within the Einstein-Cartan theory, where the cosmological constant $\Lambda$ is promoted to a variable, at the cost of allowing for torsion even in the absence of spinors. We remark that some standard notions about FRW…

General Relativity and Quantum Cosmology · Physics 2019-10-25 João Magueijo , Tom Złośnik

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

We investigate the parity-violating scalar-tensor theory and pay special attention to terms that are free of the Ostrogradsky ghost in the unitary gauge, i.e., when the scalar field possesses a timelike gradient. We exhaustively identify…

High Energy Physics - Theory · Physics 2024-05-31 Yu-Min Hu , Xian Gao

Certain scalar fields with higher derivative interactions and novel classical and quantum mechanical properties - the Galileons - can be naturally covariantized by coupling to nonlinear massive gravity in such a way that their symmetries…

High Energy Physics - Theory · Physics 2013-12-17 Melinda Andrews , Kurt Hinterbichler , James Stokes , Mark Trodden

In the framework of teleparallel equivalent of general relativity, we study a gravity theory where a scalar field beyond its minimal coupling, is also coupled with the vector torsion through a non-minimal derivative coupling. After a…

General Relativity and Quantum Cosmology · Physics 2016-12-14 Behnaz Fazlpour

We propose a new class of higher derivative scalar-tensor theories without the Ostrogradsky's ghost instabilities. The construction of our theory is originally motivated by a scalar field with spacelike gradient, which enables us to fix a…

High Energy Physics - Theory · Physics 2019-03-05 Xian Gao , Masahide Yamaguchi , Daisuke Yoshida

Violation of parity symmetry in the gravitational sector, which manifests into unequal left and right circular polarization states of primordial gravitational waves, represents a way to test high-energy modifications to general relativity.…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-08 Nicola Bartolo , Luca Caloni , Giorgio Orlando , Angelo Ricciardone
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