Generalized cosmological constant from gauging Maxwell-conformal algebra

The Maxwell extension of the conformal algebra is presented. With the help of gauging the Maxwell-conformal group, a conformally invariant theory of gravity is constructed. In contrast to the conventional conformally invariant actions, our gravitational action contains the Einstein-Hilbert term with...

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Main Authors: Salih Kibaroğlu, Oktay Cebecioğlu
Format: Article
Language:English
Published: Elsevier 2020-04-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S037026932030099X
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author Salih Kibaroğlu
Oktay Cebecioğlu
author_facet Salih Kibaroğlu
Oktay Cebecioğlu
author_sort Salih Kibaroğlu
collection DOAJ
description The Maxwell extension of the conformal algebra is presented. With the help of gauging the Maxwell-conformal group, a conformally invariant theory of gravity is constructed. In contrast to the conventional conformally invariant actions, our gravitational action contains the Einstein-Hilbert term without introducing any additional (compensator) scalar field to satisfy the local scale invariance. This is achieved by using the curvatures of the algebra. In a special condition, we show that the resulting action is reduced to the Brans-Dicke like theory of gravity. We subsequently find the generalized Einstein field equation together with a coordinate dependent cosmological term and additional contributions. Keywords: Lie algebra, Gauge field theory, Modified theory of gravity, Cosmological constant
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spelling doaj.art-1502cc8e71c141bf88627c496f7e33362022-12-22T01:20:05ZengElsevierPhysics Letters B0370-26932020-04-01803Generalized cosmological constant from gauging Maxwell-conformal algebraSalih Kibaroğlu0Oktay Cebecioğlu1Corresponding author.; Department of Physics, Kocaeli University, 41380 Kocaeli, TurkeyDepartment of Physics, Kocaeli University, 41380 Kocaeli, TurkeyThe Maxwell extension of the conformal algebra is presented. With the help of gauging the Maxwell-conformal group, a conformally invariant theory of gravity is constructed. In contrast to the conventional conformally invariant actions, our gravitational action contains the Einstein-Hilbert term without introducing any additional (compensator) scalar field to satisfy the local scale invariance. This is achieved by using the curvatures of the algebra. In a special condition, we show that the resulting action is reduced to the Brans-Dicke like theory of gravity. We subsequently find the generalized Einstein field equation together with a coordinate dependent cosmological term and additional contributions. Keywords: Lie algebra, Gauge field theory, Modified theory of gravity, Cosmological constanthttp://www.sciencedirect.com/science/article/pii/S037026932030099X
spellingShingle Salih Kibaroğlu
Oktay Cebecioğlu
Generalized cosmological constant from gauging Maxwell-conformal algebra
Physics Letters B
title Generalized cosmological constant from gauging Maxwell-conformal algebra
title_full Generalized cosmological constant from gauging Maxwell-conformal algebra
title_fullStr Generalized cosmological constant from gauging Maxwell-conformal algebra
title_full_unstemmed Generalized cosmological constant from gauging Maxwell-conformal algebra
title_short Generalized cosmological constant from gauging Maxwell-conformal algebra
title_sort generalized cosmological constant from gauging maxwell conformal algebra
url http://www.sciencedirect.com/science/article/pii/S037026932030099X
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