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- Title
Non-relativistic limit of the Mielke–Baekler gravity theory.
- Authors
Concha, Patrick; Merino, Nelson; Rodríguez, Evelyn
- Abstract
In this paper, we present a generalized non-relativistic 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 .
- Subjects
GRAVITY; TORSION
- Publication
European Physical Journal C -- Particles & Fields, 2024, Vol 84, Issue 4, p1
- ISSN
1434-6044
- Publication type
Article
- DOI
10.1140/epjc/s10052-024-12787-6