Maxwell-affine gauge theory of gravity

The Maxwell extension of the affine algebra in four dimensions with additional tensor generator is given. Using the methods of nonlinear realizations, we find the transformation rules for the group parameters and the corresponding generators. Gauging the Maxwell-affine algebra we present two possibl...

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Main Authors: O. Cebecioğlu, S. Kibaroğlu
Format: Article
Language:English
Published: Elsevier 2015-12-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S037026931500773X
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author O. Cebecioğlu
S. Kibaroğlu
author_facet O. Cebecioğlu
S. Kibaroğlu
author_sort O. Cebecioğlu
collection DOAJ
description The Maxwell extension of the affine algebra in four dimensions with additional tensor generator is given. Using the methods of nonlinear realizations, we find the transformation rules for the group parameters and the corresponding generators. Gauging the Maxwell-affine algebra we present two possible invariant actions for gravity: one is first order and the other one is second order in the affine curvature. We notice that equations of motion for the action, second order in the affine curvature, lead to the generalized Bianchi identities on the choice of appropriate coefficients for a particular solution of the constraint equation.
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spelling doaj.art-fb1d407bcc104906b63d2942202c70482022-12-22T02:04:53ZengElsevierPhysics Letters B0370-26931873-24452015-12-01751C13113410.1016/j.physletb.2015.10.022Maxwell-affine gauge theory of gravityO. CebecioğluS. KibaroğluThe Maxwell extension of the affine algebra in four dimensions with additional tensor generator is given. Using the methods of nonlinear realizations, we find the transformation rules for the group parameters and the corresponding generators. Gauging the Maxwell-affine algebra we present two possible invariant actions for gravity: one is first order and the other one is second order in the affine curvature. We notice that equations of motion for the action, second order in the affine curvature, lead to the generalized Bianchi identities on the choice of appropriate coefficients for a particular solution of the constraint equation.http://www.sciencedirect.com/science/article/pii/S037026931500773X
spellingShingle O. Cebecioğlu
S. Kibaroğlu
Maxwell-affine gauge theory of gravity
Physics Letters B
title Maxwell-affine gauge theory of gravity
title_full Maxwell-affine gauge theory of gravity
title_fullStr Maxwell-affine gauge theory of gravity
title_full_unstemmed Maxwell-affine gauge theory of gravity
title_short Maxwell-affine gauge theory of gravity
title_sort maxwell affine gauge theory of gravity
url http://www.sciencedirect.com/science/article/pii/S037026931500773X
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AT skibaroglu maxwellaffinegaugetheoryofgravity