Noncommutative gravity solutions

Paolo Aschieri; Leonardo Castellani

doi:10.1016/j.geomphys.2009.11.009

Noncommutative gravity solutions

Paolo Aschieri
, Leonardo Castellani

Department of Science and Technological Innovation

Research output: Contribution to journal › Article › 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.

Original language	English
Pages (from-to)	375-393
Number of pages	19
Journal	Journal of Geometry and Physics
Volume	60
Issue number	3
DOIs	https://doi.org/10.1016/j.geomphys.2009.11.009
Publication status	Published - Mar 2010

Keywords

Noncommutative geometry
Noncommutative gravity

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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",

year = "2010",

month = mar,

doi = "10.1016/j.geomphys.2009.11.009",

language = "English",

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AU - Castellani, Leonardo

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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.

KW - Noncommutative geometry

KW - Noncommutative gravity

UR - https://www.scopus.com/pages/publications/75949130072

U2 - 10.1016/j.geomphys.2009.11.009

DO - 10.1016/j.geomphys.2009.11.009

M3 - Article

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VL - 60

SP - 375

EP - 393

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

IS - 3

ER -

Noncommutative gravity solutions

Abstract

Keywords

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