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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
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Elsevier
2020-05-01
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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. |
first_indexed | 2024-12-21T15:31:44Z |
format | Article |
id | doaj.art-b9b9d55a9a734ebe9afbb8b8c271d22a |
institution | Directory Open Access Journal |
issn | 0370-2693 |
language | English |
last_indexed | 2024-12-21T15:31:44Z |
publishDate | 2020-05-01 |
publisher | Elsevier |
record_format | Article |
series | Physics Letters B |
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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