Detecting a gravitational wave background from inflation with null energy condition violation: prospects for Taiji

Abstract 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 blue-tilted spectrum on the stochastic gravitational wave bac...

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Main Authors: Zu-Cheng Chen, Lang Liu
Format: Article
Language:English
Published: SpringerOpen 2024-11-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-024-13529-4
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author Zu-Cheng Chen
Lang Liu
author_facet Zu-Cheng Chen
Lang Liu
author_sort Zu-Cheng Chen
collection DOAJ
description Abstract 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 blue-tilted spectrum on the stochastic gravitational wave background (SGWB) at nanohertz frequencies, potentially accounting for the recently detected signal by pulsar timing arrays. Remarkably, models of NEC violation during inflation also predict a nearly scale-invariant GW spectrum in the millihertz frequency range, which could be detectable by upcoming space-based GW detectors such as Taiji. The observation of this distinctive spectrum would provide compelling evidence for new physics beyond the standard cosmological paradigm. In this study, we explore Taiji’s ability to detect an SGWB arising from NEC violation during inflation, considering various foregrounds and noise sources, including an extragalactic foreground from binary black hole mergers throughout the Universe, a galactic foreground from white dwarf binaries, and the intrinsic noise of the Taiji detector. Employing comprehensive Bayesian parameter estimation techniques to analyze simulated Taiji data, we demonstrate a remarkable improvement in precision of three orders of magnitude compared to the NANOGrav 15-year data set for measuring the tensor power spectrum amplitude, $$P_{T,2}$$ P T , 2 , during the second inflationary stage. This substantial enhancement in measurement capabilities underscores Taiji’s potential as a powerful probe for investigating the NEC violation in the early Universe.
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spelling doaj-art-59e70b866df2479d935cee2a6c6be5b62024-12-29T12:43:24ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-11-01841111410.1140/epjc/s10052-024-13529-4Detecting a gravitational wave background from inflation with null energy condition violation: prospects for TaijiZu-Cheng Chen0Lang Liu1Department of Physics and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal UniversityFaculty of Arts and Sciences, Beijing Normal UniversityAbstract 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 blue-tilted spectrum on the stochastic gravitational wave background (SGWB) at nanohertz frequencies, potentially accounting for the recently detected signal by pulsar timing arrays. Remarkably, models of NEC violation during inflation also predict a nearly scale-invariant GW spectrum in the millihertz frequency range, which could be detectable by upcoming space-based GW detectors such as Taiji. The observation of this distinctive spectrum would provide compelling evidence for new physics beyond the standard cosmological paradigm. In this study, we explore Taiji’s ability to detect an SGWB arising from NEC violation during inflation, considering various foregrounds and noise sources, including an extragalactic foreground from binary black hole mergers throughout the Universe, a galactic foreground from white dwarf binaries, and the intrinsic noise of the Taiji detector. Employing comprehensive Bayesian parameter estimation techniques to analyze simulated Taiji data, we demonstrate a remarkable improvement in precision of three orders of magnitude compared to the NANOGrav 15-year data set for measuring the tensor power spectrum amplitude, $$P_{T,2}$$ P T , 2 , during the second inflationary stage. This substantial enhancement in measurement capabilities underscores Taiji’s potential as a powerful probe for investigating the NEC violation in the early Universe.https://doi.org/10.1140/epjc/s10052-024-13529-4
spellingShingle Zu-Cheng Chen
Lang Liu
Detecting a gravitational wave background from inflation with null energy condition violation: prospects for Taiji
European Physical Journal C: Particles and Fields
title Detecting a gravitational wave background from inflation with null energy condition violation: prospects for Taiji
title_full Detecting a gravitational wave background from inflation with null energy condition violation: prospects for Taiji
title_fullStr Detecting a gravitational wave background from inflation with null energy condition violation: prospects for Taiji
title_full_unstemmed Detecting a gravitational wave background from inflation with null energy condition violation: prospects for Taiji
title_short Detecting a gravitational wave background from inflation with null energy condition violation: prospects for Taiji
title_sort detecting a gravitational wave background from inflation with null energy condition violation prospects for taiji
url https://doi.org/10.1140/epjc/s10052-024-13529-4
work_keys_str_mv AT zuchengchen detectingagravitationalwavebackgroundfrominflationwithnullenergyconditionviolationprospectsfortaiji
AT langliu detectingagravitationalwavebackgroundfrominflationwithnullenergyconditionviolationprospectsfortaiji