Non-relativistic limit of the Mielke-Baekler gravity theory

Autor:	Concha, Patrick, Merino, Nelson, Rodríguez, Evelyn
Rok vydání:	2023
Předmět:	High Energy Physics - Theory General Relativity and Quantum Cosmology
Druh dokumentu:	Working Paper
Popis:	In this paper, we present the most general 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 $\left(p,q\right)$ parameters. In particular, torsionless models are recovered for $q=0$. Comment: 20 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2309.00500 Zobrazit plný text záznamu View this record from Arxiv