# Gauge approach to classical gravity

Mukunda, N (1984) Gauge approach to classical gravity. In: Proceedings of the workshop on gravitation and relativistic astrophysics, 1982, Ahmedabad, pp. 3-16.

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## Abstract

The purpose of this paper is to give a pedagogical introduction to the treatment of gravitation theory as a gauge theory, covering essentially the two early and well-known papers of Utiyama and Kibble. The basic idea is to apply to the Poincaré group the same kind of gauge principle that leads, in the case of a nonabelian internal symmetry, to the well-known Yang-Mills theory. We start with a Lagrangian density $L_M$ describing the dynamics of a set of matter fields $\varphi$, and possessing invariance either under an internal symmetry group $G$ or the Poincaré group ${\scr P}$, as the case may be. We then alter $L_M$ in a minimal way, with the introduction of suitable new fields, to achieve invariance under the gauged versions $G', {\scr P}'$ of $G, {\scr P}$ corresponding to making the parameters of $G, {\scr P}$ arbitrary functions of space-time. Finally we examine possible forms for the free Lagrangian for the new fields introduced in this process, and analyse the structure and consistency of the new field equations

Item Type: Conference Paper Copyright of this article belongs to World Scientific Publishing. Division of Physical & Mathematical Sciences > Centre for Theoretical Studies 30 Aug 2004 10 Jan 2012 07:06 http://eprints.iisc.ernet.in/id/eprint/978