Derives primary degeneracy matrix conditions, antisymmetric consistency conditions from constraint preservation, and a final rank condition sufficient to ensure quadratic multi-field higher-derivative scalar-tensor theories propagate only 2+N degrees of freedom without extra Ostrogradsky modes.
Covariant multi-galileons and their generalisation
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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.
fields
gr-qc 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Removing Ostrogradsky modes in multi-field higher-order scalar-tensor theories
Derives primary degeneracy matrix conditions, antisymmetric consistency conditions from constraint preservation, and a final rank condition sufficient to ensure quadratic multi-field higher-derivative scalar-tensor theories propagate only 2+N degrees of freedom without extra Ostrogradsky modes.