Three-dimensional exotic Newtonian gravity with cosmological constant

In this work we introduce a cosmological constant in the extended Newtonian gravity theory. To this end, we extend the exotic Newton-Hooke algebra by introducing new generators and central charges. The new algebra obtained here has been denoted as exotic Newtonian algebra and reproduces the extended...

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Main Authors: Patrick Concha, Lucrezia Ravera, Evelyn Rodríguez
Format: Article
Language:English
Published: Elsevier 2020-05-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269320301969
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author Patrick Concha
Lucrezia Ravera
Evelyn Rodríguez
author_facet Patrick Concha
Lucrezia Ravera
Evelyn Rodríguez
author_sort Patrick Concha
collection DOAJ
description In this work we introduce a cosmological constant in the extended Newtonian gravity theory. To this end, we extend the exotic Newton-Hooke algebra by introducing new generators and central charges. The new algebra obtained here has been denoted as exotic Newtonian algebra and reproduces the extended Newtonian one in the flat limit ℓ→∞. A three-dimensional Chern-Simons action for the exotic Newtonian algebra is presented. We show that the non-relativistic gravity theory proposed here reproduces the most general extended Newtonian gravity theory in the flat limit.
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spelling doaj.art-b9b9d55a9a734ebe9afbb8b8c271d22a2022-12-21T18:58:45ZengElsevierPhysics Letters B0370-26932020-05-01804Three-dimensional exotic Newtonian gravity with cosmological constantPatrick Concha0Lucrezia Ravera1Evelyn Rodríguez2Departamento de Matemática y Física Aplicadas, Universidad Católica de la Santísima Concepción, Alonso de Ribera 2850, Concepción, Chile; Corresponding author.INFN, Sezione di Milano, Via Celoria 16, I-20133 Milano, ItalyDepartamento de Ciencias, Facultad de Artes Liberales, Universidad Adolfo Ibáñez, Viña del Mar, ChileIn this work we introduce a cosmological constant in the extended Newtonian gravity theory. To this end, we extend the exotic Newton-Hooke algebra by introducing new generators and central charges. The new algebra obtained here has been denoted as exotic Newtonian algebra and reproduces the extended Newtonian one in the flat limit ℓ→∞. A three-dimensional Chern-Simons action for the exotic Newtonian algebra is presented. We show that the non-relativistic gravity theory proposed here reproduces the most general extended Newtonian gravity theory in the flat limit.http://www.sciencedirect.com/science/article/pii/S0370269320301969
spellingShingle Patrick Concha
Lucrezia Ravera
Evelyn Rodríguez
Three-dimensional exotic Newtonian gravity with cosmological constant
Physics Letters B
title Three-dimensional exotic Newtonian gravity with cosmological constant
title_full Three-dimensional exotic Newtonian gravity with cosmological constant
title_fullStr Three-dimensional exotic Newtonian gravity with cosmological constant
title_full_unstemmed Three-dimensional exotic Newtonian gravity with cosmological constant
title_short Three-dimensional exotic Newtonian gravity with cosmological constant
title_sort three dimensional exotic newtonian gravity with cosmological constant
url http://www.sciencedirect.com/science/article/pii/S0370269320301969
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