Galileons as the scalar analogue of general relativity

Klein R., Ozkan M. , ROEST D.

PHYSICAL REVIEW D, vol.93, no.4, 2016 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 93 Issue: 4
  • Publication Date: 2016
  • Doi Number: 10.1103/physrevd.93.044053
  • Title of Journal : PHYSICAL REVIEW D


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 tensor have a Galilean counterpart. This suggests Galilean theories as the unique nontrivial alternative to gauge theories (including general relativity). Moreover, it is shown that the requirement of first-order Palatini formalism uniquely determines the Galileon models with second-order field equations, similar to the Lovelock gravity theories. Possible extensions are discussed.