# Covariant Galileon

@inproceedings{Deffayet2009CovariantG, title={Covariant Galileon}, author={Cedric Deffayet and Gilles Esposito-Far{\`e}se and Alexander Vikman}, year={2009} }

Abstract We consider the recently introduced “galileon” field in a dynamical spacetime. When the galileon is assumed to be minimally coupled to the metric, we underline that both field equations of the galileon and the metric involve up to third-order derivatives. We show that a unique nonminimal coupling of the galileon to curvature eliminates all higher derivatives in all field equations, hence yielding second-order equations, without any extra propagating degree of freedom. The resulting… Expand

#### 662 Citations

No-hair theorem for the Galileon.

- Physics, Medicine
- Physical review letters
- 2013

It is proved that static spherically symmetric black holes cannot sustain nontrivial Galileon profiles, and the theorem holds for trivial boundary conditions and for cosmological ones, and regardless of whether there are nonminimal couplings between the Galileon and gravity of the covariant Galileon type. Expand

Revisiting fifth forces in the Galileon model

- Physics
- 2010

A Galileon field is one which obeys a spacetime generalization of the non-relativistic Galilean invariance. Such a field may possess non-canonical kinetic terms, but ghost-free theories with a… Expand

Galileon scalar electrodynamics

- Physics
- 2020

We construct a consistent model of Galileon scalar electrodynamics. The model satisfies three essential requirements: (1) The action contains higher-order derivative terms, and obey the Galilean… Expand

Galileons as the Scalar Analogue of General Relativity

- Physics
- 2016

We establish a correspondence between general relativity with diffeomorphism invariance and scalar field theories with Galilean invariance: notions such as the Levi-Civita connection and the Riemann… Expand

Covariantly quantum Galileon

- Physics
- 2017

We derive the 1-loop effective action of the cubic Galileon coupled to quantum-gravitational fluctuations in a background and gauge-independent manner, employing the covariant framework of DeWitt and… Expand

Covariant Master Theory for Novel Galilean Invariant Models and Massive Gravity

- Physics
- 2012

Coupling the galileons to a curved background has been a tradeoff between maintaining second order equations of motion, maintaining the galilean shift symmetries, and allowing the background metric… Expand

Galileons coupled to massive gravity: general analysis and cosmological solutions

- Physics
- 2014

We further develop the framework for coupling galileons and Dirac-Born-Infeld (DBI) scalar fields to a massive graviton while retaining both the non-linear symmetries of the scalars and ghost-freedom… Expand

Generalized multi-Galileons, covariantized new terms, and the no-go theorem for nonsingular cosmologies

- Physics
- 2017

It has been pointed out that nonsingular cosmological solutions in second-order scalar-tensor theories generically suffer from gradient instabilities. We extend this no-go result to second-order… Expand

Cosmological perturbations of massive gravity coupled to DBI Galileons

- Physics
- 2013

Certain scalar fields with higher derivative interactions and novel classical and quantum mechanical properties - the Galileons - can be naturally covariantized by coupling to nonlinear massive… Expand

Tensor Galileons and gravity

- Physics
- 2016

A bstractThe particular structure of Galileon interactions allows for higher-derivative terms while retaining second order field equations for scalar fields and Abelian p-forms. In this work we… Expand

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