Three-dimensional Maxwellian Carroll gravity theory and the cosmological constant

In this work, we present the three-dimensional Maxwell Carroll gravity by considering the ultra-relativistic limit of the Maxwell Chern-Simons gravity theory defined in three spacetime dimensions. We show that an extension of the Maxwellian Carroll symmetry is necessary in order for the invariant te...

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Autores principales:	Patrick Concha, Diego Peñafiel, Lucrezia Ravera, Evelyn Rodríguez
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Physics QC1-999
Acceso en línea:	https://doaj.org/article/e2c4652359de4b858121df56a37610c4
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spelling	oai:doaj.org-article:e2c4652359de4b858121df56a37610c42021-12-04T04:32:31ZThree-dimensional Maxwellian Carroll gravity theory and the cosmological constant0370-269310.1016/j.physletb.2021.136735https://doaj.org/article/e2c4652359de4b858121df56a37610c42021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S0370269321006754https://doaj.org/toc/0370-2693In this work, we present the three-dimensional Maxwell Carroll gravity by considering the ultra-relativistic limit of the Maxwell Chern-Simons gravity theory defined in three spacetime dimensions. We show that an extension of the Maxwellian Carroll symmetry is necessary in order for the invariant tensor of the ultra-relativistic Maxwellian algebra to be non-degenerate. Consequently, we discuss the origin of the aforementioned algebra and theory as a flat limit. We show that the theoretical setup with cosmological constant yielding the extended Maxwellian Carroll Chern-Simons gravity in the vanishing cosmological constant limit is based on a new enlarged extended version of the Carroll symmetry. Indeed, the latter exhibits a non-degenerate invariant tensor allowing the proper construction of a Chern-Simons gravity theory which reproduces the extended Maxwellian Carroll gravity in the flat limit.Patrick ConchaDiego PeñafielLucrezia RaveraEvelyn RodríguezElsevierarticlePhysicsQC1-999ENPhysics Letters B, Vol 823, Iss , Pp 136735- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999
spellingShingle	Physics QC1-999 Patrick Concha Diego Peñafiel Lucrezia Ravera Evelyn Rodríguez Three-dimensional Maxwellian Carroll gravity theory and the cosmological constant
description	In this work, we present the three-dimensional Maxwell Carroll gravity by considering the ultra-relativistic limit of the Maxwell Chern-Simons gravity theory defined in three spacetime dimensions. We show that an extension of the Maxwellian Carroll symmetry is necessary in order for the invariant tensor of the ultra-relativistic Maxwellian algebra to be non-degenerate. Consequently, we discuss the origin of the aforementioned algebra and theory as a flat limit. We show that the theoretical setup with cosmological constant yielding the extended Maxwellian Carroll Chern-Simons gravity in the vanishing cosmological constant limit is based on a new enlarged extended version of the Carroll symmetry. Indeed, the latter exhibits a non-degenerate invariant tensor allowing the proper construction of a Chern-Simons gravity theory which reproduces the extended Maxwellian Carroll gravity in the flat limit.
format	article
author	Patrick Concha Diego Peñafiel Lucrezia Ravera Evelyn Rodríguez
author_facet	Patrick Concha Diego Peñafiel Lucrezia Ravera Evelyn Rodríguez
author_sort	Patrick Concha
title	Three-dimensional Maxwellian Carroll gravity theory and the cosmological constant
title_short	Three-dimensional Maxwellian Carroll gravity theory and the cosmological constant
title_full	Three-dimensional Maxwellian Carroll gravity theory and the cosmological constant
title_fullStr	Three-dimensional Maxwellian Carroll gravity theory and the cosmological constant
title_full_unstemmed	Three-dimensional Maxwellian Carroll gravity theory and the cosmological constant
title_sort	three-dimensional maxwellian carroll gravity theory and the cosmological constant
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/e2c4652359de4b858121df56a37610c4
work_keys_str_mv	AT patrickconcha threedimensionalmaxwelliancarrollgravitytheoryandthecosmologicalconstant AT diegopenafiel threedimensionalmaxwelliancarrollgravitytheoryandthecosmologicalconstant AT lucreziaravera threedimensionalmaxwelliancarrollgravitytheoryandthecosmologicalconstant AT evelynrodriguez threedimensionalmaxwelliancarrollgravitytheoryandthecosmologicalconstant
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Three-dimensional Maxwellian Carroll gravity theory and the cosmological constant

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