Covariant multi-galileons and their generalisation

Abstract

We find a covariant completion of the flat-space multi-galileon theory, preserving second-order field equations. We then generalise this to arrive at an enlarged class of second order theories describing multiple scalars and a single tensor, and conjecture that these are a multi-scalar version of Horndeski's most general scalar-tensor theory.

Reference to recent proof of generality of multi-scalar theory added. Some minor typos corrected

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