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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

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

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

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

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

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

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

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 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

The scalar-induced gravitational waves (SIGW), arising from large amplitude primordial density fluctuations, provide a unique observational test for directly probing the epoch of inflation. In this work, we provide constraints on the SIGW…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-09 Ryoto Inui , Santiago Jaraba , Sachiko Kuroyanagi , Shuichiro Yokoyama

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

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

The inflationary paradigm has transformed our understanding of the early universe; yet most inflationary models are considered geodesically past-incomplete, suggesting a beginning of time or a primordial Big Bang singularity. The…

High Energy Physics - Theory · Physics 2026-03-25 Damien A. Easson , Joseph E. Lesnefsky

The recent NANOGrav finding of a common-spectrum process has invited interpretations as possible evidence of a primordial stochastic gravitational-wave background (SGWB) stronger than predicted by standard inflation+LCDM. Such an SGWB would…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-14 Bohua Li , Paul R. Shapiro

Inflation and dark energy (DE), both featuring accelerated expansion, are crucial components of modern cosmology. As indicated by singularity theorems, null energy condition (NEC) violation is essential for resolving the initial singularity…

General Relativity and Quantum Cosmology · Physics 2025-12-08 Gen Ye , Yong Cai

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 detection prospects of a gravitational-wave background (GWB) sourced by SU(2) gauge fields considering all possible observational constraints. More precisely, we consider bounds set by cosmic microwave background measurements,…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-19 Charles Badger , Hannah Duval , Tomohiro Fujita , Sachiko Kuroyanagi , Alba Romero-Rodríguez , Mairi Sakellariadou

We present the first attempt to use a combination of CMB, LIGO, and PPTA data to constrain both the tilt and the running of primordial tensor power spectrum through constraints on the gravitational wave energy density generated in the early…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 P. Daniel Meerburg , Renée Hložek , Boryana Hadzhiyska , Joel Meyers
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