Taming galileons in curved spacetime

TL;DR

This paper develops a covariant galileon model in curved spacetime that preserves galileon symmetry and maintains second order equations of motion, advancing the understanding of galileons in gravitational contexts.

Contribution

It introduces a covariant formulation of galileon theories in curved spacetime that retains internal symmetry and second order dynamics, which was not previously achieved.

Findings

The model preserves galileon symmetry in curved spacetime.

The equations of motion remain second order.

The formulation is consistent with local Poincare symmetry.

Abstract

Localising the galileon symmetry along with Poincare symmetry we have found a version of galileon model coupled with curved spacetime which retains the internal galileon symmetry in covariant form. Also, the model has second order equations of motion.