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arXiv · 2311.16968

Towards gravitational QNM spectrum from quantum spacetime

Nikola Herceg·Tajron Jurić·Andjelo Samsarov·Ivica Smolić
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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.

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Nikola Herceg, Tajron Jurić, Andjelo Samsarov, Ivica Smolić. 2023-11-28. Towards gravitational QNM spectrum from quantum spacetime. https://arxiv.org/abs/2311.16968

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