Metric perturbations in noncommutative gravity

Herceg, Nikola; Jurić, Tajron; Samsarov, Anđelo; Smolić, Ivica (2024) Metric perturbations in noncommutative gravity. Journal of High Energy Physics, 2024 (6). ISSN 1029-8479

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Abstract

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.

Item Type:	Article
Uncontrolled Keywords:	models of quantum gravity; non-commutative geometry; black holes; space-time symmetries
Subjects:	NATURAL SCIENCES > Physics > Physics of Elementary Particles and Fields
Divisions:	Theoretical Physics Division
Projects:	Project title Project leader Project code Project type Potraga za kvantnim prostorvremenom u spektru KNM za crne rupe i bljeskovima gama zraka-QBHQNMGRB Anđelo Samsarov; Ivica Smolić; Marija Dimitrijević-Ćirić; Salvatore Mignemi; Kumar Shankar Gupta; Nikola Konjik IP-2020-02-9614 HRZZ
Depositing User:	Lorena Palameta
Date Deposited:	17 Sep 2024 07:47
URI:	http://fulir.irb.hr/id/eprint/9077
DOI:	10.1007/jhep06(2024)130

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