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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

Primordial null energy condition (NEC) violation would imprint a blue-tilted spectrum on gravitational wave background (GWB). However, its implications on the GWB might be far richer than expected. We present a scenario, in which after a…

General Relativity and Quantum Cosmology · Physics 2021-04-28 Yong Cai , Yun-Song Piao

We investigate both the null energy condition (NEC) violating scenario and the $c_T$-diminishing scenario for generating enhanced power spectrum of primordial gravitational waves (GWs) during inflation, where $c_T$ is the propagating speed…

General Relativity and Quantum Cosmology · Physics 2024-08-06 Yong Cai , Yun-Song Piao

The violation of the null energy condition (NEC) may play a crucial role in enabling a scalar field to climb over high potential barriers, potentially significant in the very early universe. We propose a single-field model where the…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-01 Shi Pan , Yong Cai , Yun-Song Piao

The null energy condition (NEC) is a cornerstone of general relativity, and its violation could leave observable imprints in the cosmic gravitational wave spectrum. Theoretical models suggest that NEC violations during inflation can amplify…

General Relativity and Quantum Cosmology · Physics 2025-03-28 Zu-Cheng Chen , Lang Liu

A transient violation of the null energy condition (NEC) during inflation provides a novel mechanism for producing primordial black holes (PBHs) and stochastic gravitational wave (GW) backgrounds. In this work, we extend previous studies by…

General Relativity and Quantum Cosmology · Physics 2026-02-19 Dong-Hui Yu , Jia-Zuo Zhang , Yong Cai

Recently, evidence of stochastic gravitational wave background (SGWB) signals observed by pulsar timing array (PTA) collaborations, has prompted investigations into their origins. We explore the compatibility of a proposed inflationary…

General Relativity and Quantum Cosmology · Physics 2024-08-15 Gen Ye , Mian Zhu , Yong Cai

The null energy condition (NEC) is a fundamental principle in general relativity, and its violation could leave discernible signatures in gravitational waves (GWs). A violation of the NEC during the primordial era would imprint a…

General Relativity and Quantum Cosmology · Physics 2025-03-28 Zu-Cheng Chen , Lang Liu

We study nanohertz gravitational waves relevant to pulsar timing array experiments from quantum fluctuations in the early universe with null energy condition (NEC) violation. The NEC violation admits accelerated expansion with the scale…

General Relativity and Quantum Cosmology · Physics 2021-01-04 Hiroaki W. H. Tahara , Tsutomu Kobayashi

We investigate the consequences of a transient phase of enhanced parity violation during inflation. Modeling this phase through a time-localized Chern--Simons-like coupling, we show that it amplifies primordial gravitational waves at small…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-30 Gianmassimo Tasinato

Primordial black holes (PBHs) and the violation of the null energy condition (NEC) have significant implications for our understanding of the very early universe. We present a novel approach to generate PBHs via the NEC violation in a…

General Relativity and Quantum Cosmology · Physics 2024-07-10 Yong Cai , Mian Zhu , Yun-Song Piao

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

We study a cosmological scenario featuring an early phase of null energy condition (NEC) violation. Within this framework, we show that perturbative unitarity bounds place strong constraints on both the amplitude and the spectral tilt of…

High Energy Physics - Theory · Physics 2026-01-21 Pavel Petrov , Jianing Wang

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

We investigate two classes of inflationary models, which lead to a stiff period after inflation that boosts the signal of primordial gravitational waves (GWs). In both families of models studied, we consider an oscillating scalar…

High Energy Physics - Phenomenology · Physics 2024-10-10 Chao Chen , Konstantinos Dimopoulos , Cem Eröncel , Anish Ghoshal

In this paper, we investigate chiral gravitational wave (GW) signals generated from inflation to reheating, driven by a parity-violating (PV) term coupled to the inflaton. During inflation, the PV term reduces the sound horizon for…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-17 Chengjie Fu , Chao Chen , Yi Wang

Eternal inflation is shown to require violations of the Null Energy Condition (NEC) on superhorizon scales. With light scalar fields as the matter sources in a de Sitter background, there can be no classical or semiclassical violations of…

Astrophysics · Physics 2007-05-23 Tanmay Vachaspati

Chromo-natural inflation (CNI) is an inflationary model where an axion coupled with SU$(2)$ gauge fields acts as the inflaton. In CNI, the gauge fields have nonzero vacuum expectation values (VEVs), which results in the enhancement of…

Cosmology and Nongalactic Astrophysics · Physics 2022-08-03 Tomohiro Fujita , Kaname Imagawa , Kai Murai

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

We study the inflationary model with a spectator scalar field $\chi$ coupled to both the inflaton and Ricci scalar. The interaction between the $\chi$ field and the gravity, denoted by $\xi R\chi^2$, can trigger the tachyonic instability of…

General Relativity and Quantum Cosmology · Physics 2024-01-03 Zhe Yu , Chengjie Fu , Zong-Kuan Guo
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