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Gravitational waves with generalized holonomy corrections

Authors :
Li, Shulan
Wu, Jian-Pin
Source :
Eur.Phys.J.C 84 (2024) 6, 629
Publication Year :
2023

Abstract

The cosmological tensor perturbation equation with generalized holonomy corrections is derived in the framework of effective loop quantum gravity. This results in a generalized dispersion relation for gravitational waves, encompassing holonomy corrections. Furthermore, we conduct an examination of the constraint algebra concerning vector modes with generalized holonomy corrections. The requirement of anomaly cancellation for vector modes imposes constraints on the possible functional forms of the generalized holonomy corrections. What's more, we estimate the theoretical value of the effective graviton mass and discuss the potential detectability of this effective mass in future observations.<br />Comment: 27 pages, 1 figure

Details

Database :
arXiv
Journal :
Eur.Phys.J.C 84 (2024) 6, 629
Publication Type :
Report
Accession number :
edsarx.2309.05535
Document Type :
Working Paper
Full Text :
https://doi.org/10.1140/epjc/s10052-024-13010-2