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arXiv · 2204.11763

Three-dimensional Newtonian gravity with cosmological constant and torsion

Patrick Concha·Evelyn Rodríguez·Gustavo Rubio·Paola Yañez
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Abstract

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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Patrick Concha, Evelyn Rodríguez, Gustavo Rubio, Paola Yañez. 2022-04-25. Three-dimensional Newtonian gravity with cosmological constant and torsion. https://doi.org/10.1140/epjc%2Fs10052-023-11210-w

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