Three-dimensional Maxwellian extended Newtonian gravity and flat limit

Abstract In the present work we find novel Newtonian gravity models in three space-time dimensions. We first present a Maxwellian version of the extended Newtonian gravity, which is obtained as the non-relativistic limit of a particular U(1)-enlargement of an enhanced Maxwell Chern-Simons gravity. W...

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Main Authors: Patrick Concha, Lucrezia Ravera, Evelyn Rodríguez, Gustavo Rubio
Format: Article
Language:English
Published: SpringerOpen 2020-10-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP10(2020)181
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author Patrick Concha
Lucrezia Ravera
Evelyn Rodríguez
Gustavo Rubio
author_facet Patrick Concha
Lucrezia Ravera
Evelyn Rodríguez
Gustavo Rubio
author_sort Patrick Concha
collection DOAJ
description Abstract In the present work we find novel Newtonian gravity models in three space-time dimensions. We first present a Maxwellian version of the extended Newtonian gravity, which is obtained as the non-relativistic limit of a particular U(1)-enlargement of an enhanced Maxwell Chern-Simons gravity. We show that the extended Newtonian gravity appears as a particular sub-case. Then, the introduction of a cosmological constant to the Maxwellian extended Newtonian theory is also explored. To this purpose, we consider the non-relativistic limit of an enlarged symmetry. An alternative method to obtain our results is presented by applying the semigroup expansion method to the enhanced Nappi-Witten algebra. The advantages of considering the Lie algebra expansion procedure is also discussed.
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spelling doaj.art-fec315b91d3f40e6aa3da10dce0d7e502022-12-21T17:59:01ZengSpringerOpenJournal of High Energy Physics1029-84792020-10-0120201013410.1007/JHEP10(2020)181Three-dimensional Maxwellian extended Newtonian gravity and flat limitPatrick Concha0Lucrezia Ravera1Evelyn Rodríguez2Gustavo Rubio3Departamento de Matemática y Física Aplicadas, Universidad Católica de la Santísima ConcepciónDISAT, Politecnico di TorinoDepartamento de Ciencias, Facultad de Artes Liberales, Universidad Adolfo IbáñezDepartamento de Matemática y Física Aplicadas, Universidad Católica de la Santísima ConcepciónAbstract In the present work we find novel Newtonian gravity models in three space-time dimensions. We first present a Maxwellian version of the extended Newtonian gravity, which is obtained as the non-relativistic limit of a particular U(1)-enlargement of an enhanced Maxwell Chern-Simons gravity. We show that the extended Newtonian gravity appears as a particular sub-case. Then, the introduction of a cosmological constant to the Maxwellian extended Newtonian theory is also explored. To this purpose, we consider the non-relativistic limit of an enlarged symmetry. An alternative method to obtain our results is presented by applying the semigroup expansion method to the enhanced Nappi-Witten algebra. The advantages of considering the Lie algebra expansion procedure is also discussed.http://link.springer.com/article/10.1007/JHEP10(2020)181Chern-Simons TheoriesGauge SymmetryClassical Theories of GravitySpace-Time Symmetries
spellingShingle Patrick Concha
Lucrezia Ravera
Evelyn Rodríguez
Gustavo Rubio
Three-dimensional Maxwellian extended Newtonian gravity and flat limit
Journal of High Energy Physics
Chern-Simons Theories
Gauge Symmetry
Classical Theories of Gravity
Space-Time Symmetries
title Three-dimensional Maxwellian extended Newtonian gravity and flat limit
title_full Three-dimensional Maxwellian extended Newtonian gravity and flat limit
title_fullStr Three-dimensional Maxwellian extended Newtonian gravity and flat limit
title_full_unstemmed Three-dimensional Maxwellian extended Newtonian gravity and flat limit
title_short Three-dimensional Maxwellian extended Newtonian gravity and flat limit
title_sort three dimensional maxwellian extended newtonian gravity and flat limit
topic Chern-Simons Theories
Gauge Symmetry
Classical Theories of Gravity
Space-Time Symmetries
url http://link.springer.com/article/10.1007/JHEP10(2020)181
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AT gustavorubio threedimensionalmaxwellianextendednewtoniangravityandflatlimit