Galileons as the Scalar Analogue of General Relativity
High Energy Physics - Theory
2016-03-02 v2 Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
Abstract
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.
Keywords
Cite
@article{arxiv.1510.08864,
title = {Galileons as the Scalar Analogue of General Relativity},
author = {Remko Klein and Mehmet Ozkan and Diederik Roest},
journal= {arXiv preprint arXiv:1510.08864},
year = {2016}
}
Comments
6 pages, v2: Version appeared in Phys. Rev. D