Noncommutative gravity solutions

Paolo Aschieri; Leonardo Castellani

doi:10.1016/j.geomphys.2009.11.009

Noncommutative gravity solutions

Paolo Aschieri
, Leonardo Castellani

Dipartimento di Scienze e Innovazione Tecnologica

Risultato della ricerca: Contributo su rivista › Articolo in rivista › peer review

Abstract

We consider noncommutative geometries obtained from a triangular Drinfeld twist and review the formulation of noncommutative gravity. A detailed study of the abelian twist geometry is presented, including the fundamental theorem of noncommutative Riemannian geometry. Inspired by [1,2], we obtain solutions of noncommutative Einstein equations by considering twists that are compatible with the curved spacetime metric.

Lingua originale	Inglese
pagine (da-a)	375-393
Numero di pagine	19
Rivista	Journal of Geometry and Physics
Volume	60
Numero di pubblicazione	3
DOI	https://doi.org/10.1016/j.geomphys.2009.11.009
Stato di pubblicazione	Pubblicato - mar 2010

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10.1016/j.geomphys.2009.11.009

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title = "Noncommutative gravity solutions",

abstract = "We consider noncommutative geometries obtained from a triangular Drinfeld twist and review the formulation of noncommutative gravity. A detailed study of the abelian twist geometry is presented, including the fundamental theorem of noncommutative Riemannian geometry. Inspired by [1,2], we obtain solutions of noncommutative Einstein equations by considering twists that are compatible with the curved spacetime metric.",

keywords = "Noncommutative geometry, Noncommutative gravity",

author = "Paolo Aschieri and Leonardo Castellani",

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AB - We consider noncommutative geometries obtained from a triangular Drinfeld twist and review the formulation of noncommutative gravity. A detailed study of the abelian twist geometry is presented, including the fundamental theorem of noncommutative Riemannian geometry. Inspired by [1,2], we obtain solutions of noncommutative Einstein equations by considering twists that are compatible with the curved spacetime metric.

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KW - Noncommutative gravity

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U2 - 10.1016/j.geomphys.2009.11.009

DO - 10.1016/j.geomphys.2009.11.009

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JO - Journal of Geometry and Physics

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Noncommutative gravity solutions

Abstract

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