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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Format: | Article |
Language: | English |
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SpringerOpen
2020-10-01
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Series: | Journal of High Energy Physics |
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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. |
first_indexed | 2024-12-23T05:08:09Z |
format | Article |
id | doaj.art-fec315b91d3f40e6aa3da10dce0d7e50 |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-12-23T05:08:09Z |
publishDate | 2020-10-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
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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