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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

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 violation of the null energy condition (NEC) during inflation in a single-field inflation model will naturally enhance the amplitude of the parity violation effect (defined by $\Delta\chi$) of inflationary primordial gravitational waves…

General Relativity and Quantum Cosmology · Physics 2023-03-14 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

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

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

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

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

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

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

This paper is the third in a series of theorems which state how cosmological observations can provide evidence for an early phase of acceleration in the universe. Previous theorems demonstrated that the observed power spectrum for scalar…

Cosmology and Nongalactic Astrophysics · Physics 2015-08-19 Ghazal Geshnizjani , William H. Kinney

The evidence of the nano-Hertz stochastic gravitational wave (GW) background is reported by multiple pulsar timing array collaborations. While a prominent candidate of the origin is astrophysical from supermassive black hole binaries,…

Cosmology and Nongalactic Astrophysics · Physics 2023-12-06 Katsuya T. Abe , Yuichiro Tada

We propose a novel branch of the Galilean Genesis scenario as an alternative to inflation, in which the universe starts expanding from Minkowski in the asymptotic past with a gross violation of the null energy condition (NEC). This variant,…

High Energy Physics - Theory · Physics 2017-03-15 Sakine Nishi , Tsutomu Kobayashi

Quantum fluctuations of the gravitational field in the early Universe, amplified by inflation, produce a primordial gravitational-wave background across a broad frequency band. We derive constraints on the spectrum of this gravitational…

The recent evidence for a stochastic gravitational wave background (GWB) in the nanohertz band, announced by pulsar timing array (PTA) collaborations around the world, has been posited to be sourced by either a population of supermassive…

General Relativity and Quantum Cosmology · Physics 2024-09-25 David Wright , John T. Giblin , Jeffrey Hazboun

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

In this Letter, we derive for the first time a characteristic three-peaked GW signal within the framework of no-scale Supergravity, being the low-energy limit of Superstring theory. We concentrate on the primordial gravitational wave (GW)…

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 present constraints on the nanohertz gravitational wave background (GWB) using X-ray pulsar timing data from the Neutron Star Interior Composition Explorer(\textit{NICER}). By analyzing six millisecond pulsars over a six-year…

High Energy Astrophysical Phenomena · Physics 2025-12-22 Tian-Yong Cao , Shi-jie Zheng , Shu-Xu Yi , Ming-Yu Ge , Yi-Tao Yin , Yao-Ming Duan , Xiang Yang , Wen

Explorations of the violation of null energy condition (NEC) in cosmology could enrich our understanding of the very early universe and the related gravity theories. Although a fully stable NEC violation can be realized in the ``beyond…

General Relativity and Quantum Cosmology · Physics 2022-10-24 Yong Cai , Ji Xu , Shuai Zhao , Siyi Zhou
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