This article’s main goal is to provide an overview of metric-affine gravity, a gravity theory that has received a lot of interest from physicists in recent years. We examine and explain the results of a well-known equation for the Lie derivative of the metric in the context of a metric-affine approach. The most significant results of this theory are included in a historical examination of it. One arrives at a conclusion with some points of view on how that theory—which is known as topological gravity theory—calculates topological observables.

Author(s) Details:

Oussama A. Belarbi,
Laboratoire de Physique Théorique d’Oran (LPTO), Université d’Oran 1 Ahmed Ben Bella, 31100 Oran, Algeria.

Ahmed Meziane,
Laboratoire de Physique Théorique d’Oran (LPTO), Université d’Oran 1 Ahmed Ben Bella, 31100 Oran, Algeria.

Please see the link here: https://stm.bookpi.org/NTPSR-V7/article/view/7787

Keywords: Metric-affine gravity, torsion, nonmetricity, topological observables