Hamilton-Jacobi formalism for Linearized Gravity

TL;DR

This paper applies the Hamilton-Jacobi formalism to analyze the constraint structure of linearized gravity in different dynamical forms, providing insights into its theoretical framework.

Contribution

It introduces a Hamilton-Jacobi approach to linearized gravity and explores its constraint structure in instant and front-form dynamics.

Findings

Constraint structure characterized in both instant and front-form dynamics.

Hamilton-Jacobi formalism effectively analyzes singular systems like linearized gravity.

Provides a foundation for further studies on gravitational theories using Hamilton-Jacobi methods.

Abstract

In this work we study the theory of linearized gravity via the Hamilton-Jacobi formalism. We make a brief review of this theory and its Lagrangian description, as well as a review of the Hamilton-Jacobi approach for singular systems. Then we apply this formalism to analyze the constraint structure of the linearized gravity in instant and front-form dynamics.