Geometrical effective actions for a partially massless spin-2 field

TL;DR

This paper develops a geometrical effective action framework for partially massless spin-2 fields in maximally symmetric spacetimes, providing new insights into their nonlinear dynamics and background evolution.

Contribution

It introduces a concise geometrical form of the effective action for partially massless spin-2 fields and analyzes the background metric evolution using this formulation.

Findings

Effective action for partially massless fields derived in geometrical form

Exact background evolution solutions obtained

Enhanced understanding of nonlinear dynamics of spin-2 fields

Abstract

We consider nonlinear effective actions for a spin-2 field, whose `decoupling' limit gives Fierz-Pauli action in D dimensional maximally symmetric spacetime. We find, especially, the effective action for a partially massless field can take a concise geometrical form. The exact solution for time evolution of the background metric in the model using the effective action is also studied.