Non-relativistic gravity theories in four spacetime dimensions

被引：0
作者：
Patrick Concha
Evelyn Rodríguez
Gustavo Rubio
机构：
[1] Universidad Católica de la Santísima Concepción,Departamento de Matemática y Física Aplicadas
来源：
Journal of High Energy Physics | / 2023卷
关键词：
Classical Theories of Gravity; Gauge Symmetry; Space-Time Symmetries;
D O I：
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摘要：
In this work we present a non-relativistic gravity theory defined in four spacetime dimensions using the MacDowell-Mansouri geometrical formulation. We obtain a Newtonian gravity action which is constructed from the curvature of a Newton-Hooke version of the so-called Newtonian algebra. We show that the non-relativistic gravity theory presented here contains the Poisson equation in presence of a cosmological constant. Moreover we make contact with the Modified Newtonian Dynamics (MOND) approach for gravity by considering a particular ansatz for a given gauge field. We extend our results to a generalized non-relativistic MacDowell-Mansouri gravity theory by considering a generalized Newton-Hooke algebra.
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  • [1] Cartan E(1923) (1 + 2) Annales Sci. Ecole Norm. Sup. 40 325-undefined
  • [2] Duval C(2009) (2 + 1) Annals Phys. 324 1158-undefined
  • [3] Hassaine M(2009) 2 + 1 JHEP 07 037-undefined
  • [4] Horvathy PA(2010) = 1 JHEP 08 004-undefined
  • [5] Bagchi A(2014) = 2 JHEP 01 057-undefined
  • [6] Gopakumar R(2015) = 1 Phys. Lett. B 746 318-undefined
  • [7] Bagchi A(2015) = 1 JHEP 08 006-undefined
  • [8] Gopakumar R(2015) = 4 JHEP 07 155-undefined
  • [9] Mandal I(1996)undefined J. Math. Phys. 37 460-undefined
  • [10] Miwa A(1995)undefined Commun. Math. Phys. 169 385-undefined
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