TL;DR
This paper reviews the emergence of Galileon scalar fields in various gravity frameworks, highlighting their theoretical properties and potential for explaining cosmic acceleration.
Contribution
It provides a comprehensive overview of Galileon models in different theories, emphasizing their relation to Lovelock invariants and their cosmological applications.
Findings
Galileon fields arise in DGP, Massive Gravity, and Ghost-free models
Non-renormalization theorems make Galileons suitable for inflation and dark energy
Discussion of self-accelerating and degravitating solutions in Galileon models
Abstract
We review the different frameworks in which Galileon scalar fields have been seen to emerge such an in DGP, New Massive Gravity and Ghost-free massive Gravity and emphasize their relation with the Lovelock invariant in braneworld models. The existence of a non-renormalization theorem for Galileon scalar fields makes them especially attractive candidates for inflation as well as for late-time acceleration. In particular we review the self-accelerating and degravitating branches of solutions present in Galileon models when arising from Massive Gravity and discuss their phenomenology.
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