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  4. Non-relativistic limit of the Mielke–Baekler gravity theory
 
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Non-relativistic limit of the Mielke–Baekler gravity theory
Dr. Concha-Aguilera, Patrick 
Facultad de Ingeniería 
Dra. Rodríguez-Durán, Evelyn 
Facultad de Ingeniería 
Merino, Nelson
10.1140/epjc/s10052-024-12787-6
Springer Nature
2024
In this paper, we present a generalized nonrelativistic Chern–Simons gravity model in three spacetime dimensions. We first study the non-relativistic limit of the Mielke–Baekler gravity through a contraction process. The resulting non-relativistic theory contains a source for the spatial component of the torsion and the curvature measured in terms of two parameters, denoted by p and q. We then extend our results by defining a Newtonian version of the Mielke–Baekler gravity theory, based on a Newtonian like algebra which is obtained from the non-relativistic limit of an enhanced and enlarged relativistic algebra. Remarkably, in both cases, different known non-relativistic and Newtonian gravity theories can be derived by fixing the (p, q) parameters. In particular, torsionless models are recovered for q = 0.
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