Towards gravitational QNM spectrum from quantum spacetime
High Energy Physics - Theory
2023-11-29 v1
Abstract
The effective potential for the axial mode of gravitational wave on noncommutative Schwarzschild background is presented. Noncommutativity is introduced via deformed Hopf algebra of diffeomorphisms by means of a semi-Killing Drinfeld twist. The analysis is performed up to the first order in perturbation of the metric and noncommutativity parameter. This results in a modified Regge-Wheeler potential with the strongest differences in comparison to the classical Regge-Wheeler potential being near the horizon.
Keywords
Cite
@article{arxiv.2311.16968,
title = {Towards gravitational QNM spectrum from quantum spacetime},
author = {Nikola Herceg and Tajron Jurić and Andjelo Samsarov and Ivica Smolić},
journal= {arXiv preprint arXiv:2311.16968},
year = {2023}
}
Comments
9 pages, 1 figure; presented and prepared for "the XII. International Symposium on Quantum Theory and Symmetries" (QTS12) and "XXVII. International Conference on Integrable Systems and Quantum Symmetries" (ISQS27),July 24-28 2023., Prague