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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

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

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

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

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

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

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 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

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

We study the observable implications of an incomplete first order phase transition during inflation. In such a phase transition, the nucleated bubbles do not percolate and instead are continuously produced until the onset of reheating. The…

High Energy Physics - Phenomenology · Physics 2023-12-20 Joel Barir , Michael Geller , Chen Sun , Tomer Volansky

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

The usual scenario of ``eternal inflation'' involves an approximately de Sitter spacetime undergoing upward fluctuations of the local expansion rate $H$. This spacetime requires frequent violations of the Null Energy Condition (NEC). We…

General Relativity and Quantum Cosmology · Physics 2020-07-27 Serge Winitzki

Near comoving wavenumber k, the gravitational-wave background (GWB) from inflation carries information about the physical conditions near two moments in cosmic history: the moment when k ``left the horizon'' during inflation, and the moment…

Astrophysics · Physics 2008-11-26 Latham A. Boyle , Paul J. Steinhardt

In this paper we study the behaviour of gravitational wave background (GWB) generated during inflation in the environment of the noncommutative field approach. From this approach we derive out one additive term, and then we find that the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yi-Fu Cai , Yun-Song Piao

We examine the effects of a stiff pre-recombination era on the present day's energy spectrum of the primordial gravitational waves. If the background total equation of state parameter at the pre-recombination era is described by a kination…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-02 V. K. Oikonomou

Inflation may have been driven by a component which violated the Null-Energy Condition, thereby leading to {\it super inflation}. We provide the formalism to study cosmological perturbations when such a component is described by a scalar…

Astrophysics · Physics 2010-09-21 Marco Baldi , Fabio Finelli , Sabino Matarrese

We study the production, spectrum and detectability of gravitational waves in models of the early Universe where first order phase transitions occur during inflation. We consider all relevant sources. The self-consistency of the scenario…

Cosmology and Nongalactic Astrophysics · Physics 2011-02-16 Diego Chialva

We revisit the possibility that the stochastic common-spectrum process recently detected by the NANOGrav pulsar timing array experiment could be due to primordial gravitational waves (GWs). A na\"{i}ve extrapolation down to interferometer…

Cosmology and Nongalactic Astrophysics · Physics 2022-02-14 Micol Benetti , Leila Lobato Graef , Sunny Vagnozzi
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