论文标题

三维牛顿引力,宇宙和扭转

Three-dimensional Newtonian gravity with cosmological constant and torsion

论文作者

Concha, Patrick, Rodríguez, Evelyn, Rubio, Gustavo, Yañez, Paola

论文摘要

在本文中,我们提出了三维扩展的牛顿·切尔·西蒙斯重力的替代性宇宙学扩展,通过打开扭转。该理论是作为增强功能的非相关性极限获得的,$ u(1)$ - 对所谓的远程代数的扩大,可以看作是牛顿重力理论的远程类似物。我们的结果的无限尺寸扩展也通过Lie代数扩展方法探索。提出了无限维扭转的加利利重力模型,该模型在消失的宇宙恒定极限中繁殖了加利利重力理论的无限二维扩展。

In this paper we present an alternative cosmological extension of the three-dimensional extended Newtonian Chern-Simons gravity by switching on the torsion. The theory is obtained as a non-relativistic limit of an enhancement and $U(1)$-enlargement of the so-called teleparallel algebra and can be seen as the teleparallel analogue of the Newtonian gravity theory. The infinite-dimensional extension of our result is also explored through the Lie algebra expansion method. An infinite-dimensional torsional Galilean gravity model is presented which in the vanishing cosmological constant limit reproduces the infinite-dimensional extension of the Galilean gravity theory.

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