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Extended gravity from noncommutativity

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Abstract

We present a first order theory of gravity (vierbein formulation) on noncommutative spacetime. The first order formalism allows to couple the theory to fermions. This NC action is then reinterpreted (using the Seiberg-Witten map) as a gravity theory on commutative spacetime that contains terms with higher derivatives and higher powers of the curvature and depend on the noncommutativity parameter θ. When the noncommutativity is switched off we recover the usual gravity action coupled to fermions. The first nontrival corrections to the usual gravity action coupled to fermions are explicitly calculated.

Original languageEnglish
Title of host publicationFrontiers of Fundamental Physics and Physics Education Research
EditorsBurra G. Sidharth, Burra G. Sidharth, Marisa Michelini, Lorenzo Santi, Burra G. Sidharth
PublisherSpringer Science and Business Media, LLC
Pages151-164
Number of pages14
ISBN (Electronic)9783319002965
DOIs
Publication statusPublished - 2014
Externally publishedYes
Event12th International Symposium on Frontiers of Fundamental Physics, FFP 2011 - Udine, Italy
Duration: 21 Nov 201123 Nov 2011

Publication series

NameSpringer Proceedings in Physics
Volume145
ISSN (Print)0930-8989
ISSN (Electronic)1867-4941

Conference

Conference12th International Symposium on Frontiers of Fundamental Physics, FFP 2011
Country/TerritoryItaly
CityUdine
Period21/11/1123/11/11

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