Metric perturbations in noncommutative gravity

Scientific paper - Original scientific paper

• Author: Nikola Herceg
• Author: Tajron Jurić
• Author: Andjelo Samsarov
• Author: Ivica Smolić
• Author's institution: University of Zagreb; Faculty of Science; (Department of Physics)
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Physics

Abstract (english)

We use the framework of Hopf algebra and noncommutative differential geometry to build a noncommutative (NC) theory of gravity in a bottom-up approach. Noncommutativity is introduced via deformed Hopf algebra of diffeomorphisms by means of a Drinfeld twist. The final result of the construction is a general formalism for obtaining NC corrections to the classical theory of gravity for a wide class of deformations and a general background. This also includes a novel proposal for noncommutative Einstein manifold. Moreover, the general construction is applied to the case of a linearized gravitational perturbation theory to describe a NC deformation of the metric perturbations. We specifically present an example for the Schwarzschild background and axial perturbations, which gives rise to a generalization of the work by Regge and Wheeler. All calculations are performed up to first order in perturbation of the metric and noncommutativity parameter. The main result is the noncommutative Regge-Wheeler potential. Finally, we comment on some differences in properties between the Regge-Wheeler potential and its noncommutative counterpart.

• Keywords (english): Models of Quantum Gravity, Non-Commutative Geometry, Black Holes, Space-Time Symmetries
• Language: english
• Publication type: Scientific paper - Original scientific paper
• Publication status: Published
• Peer review: Peer review - international
• Publication version: Published version
• Journal title: Journal of High Energy Physics
• Numbering: vol. 2024, no. 06, 130
• e-ISSN: 1029-8479
• DOI: https://doi.org/10.1007/JHEP06(2024)130
• URN:NBN: urn:nbn:hr:217:405906
• Publication: 2024-06-19
• Project: Number: IP-2020-02-9614; Title (croatian): Potraga za kvantnim prostorvremenom u spektru KNM za crne rupe i bljeskovima gama zraka; Title (english): Search for Quantum spacetime in Black Hole QNM spectrum and Gamma Ray Bursts; Acronym: QBHQNMGRB; Leader: Anđelo Samsarov; Jurisdiction: Croatia; Funding stream: Research Projects
• Document URL: https://link.springer.com/10.1007/JHEP06(2024)130
• Type of resource: Text
• Access conditions: Open access
• Public note: Open Access, © The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: October 23, 2023. Accepted: May 25, 2024. Published: June 19, 2024.
• Created on: 2024-07-24 11:17:45