https://doi.org/10.1140/epjc/s10052-023-11210-w
Regular Article - Theoretical Physics
Three-dimensional Newtonian gravity with cosmological constant and torsion
1
Departamento de Matemática y Física Aplicadas, Universidad Católica de la Santísima Concepción, Alonso de Ribera 2850, Concepción, Chile
2
Departamento de Física, Universidad De Concepción, Casilla, 160-C, Concepción, Chile
Received:
30
April
2022
Accepted:
9
January
2023
Published online:
19
January
2023
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.
© The Author(s) 2023
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