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arXiv · 1510.08864

Galileons as the Scalar Analogue of General Relativity

Remko Klein·Mehmet Ozkan·Diederik Roest
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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.

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Remko Klein, Mehmet Ozkan, Diederik Roest. 2016-02-22. Galileons as the Scalar Analogue of General Relativity. https://doi.org/10.1103/physrevd.93.044053

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