Linearized gravity as a gauge theory

TL;DR

This paper explores linearized gravity through the lens of gauge theory, connecting it with the MacDowell-Mansouri formalism and discussing implications for duality, brane worlds, and Ashtekar variables.

Contribution

It presents a novel perspective on linearized gravity as a gauge theory within the MacDowell-Mansouri framework, linking different approaches in gravitational research.

Findings

Linearized gravity can be formulated as a gauge theory.

Connections to the MacDowell-Mansouri formalism are established.

Potential implications for duality and brane world scenarios are discussed.

Abstract

We discuss linearized gravity from the point of view of a gauge theory. In (3+1)-dimensions our analysis allows to consider linearized gravity in the context of the MacDowell-Mansouri formalism. Our observations may be of particular interest in the strong-weak coupling duality for linearized gravity, in Randall-Sundrum brane world scenario and in Ashtekar formalism.