Physical Sciences and Mathematics Commons^™

Massive Gravity Theories, Greg Seyfarth

Honors Theses

We examine Fierz and Pauli's work in 1939 of adding a mass term to the Lagrangian for linearized gravity with the form ?? where h is a small perturbation away from flat spacetime and showing that the only value for ? which gives a ghost-free theory with the correct five degrees of freedom expected for a massive spin- 2 particle such as the graviton is ? [1]. We start by rederiving the Lagrangian formulation for classical electrodynamics and giving examples of a ghost. Then we solve the linearized massless gravity equations to show their two degrees of freedom. We perform …