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Resolving the Ostrogradsky Ghost Problem for a Class of Scalar-tensor Theories

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arxiv 1702.00696 v4 pith:QDWCBDBI submitted 2017-02-02 gr-qc hep-th

Chunshan Lin This is my paper · ORCID
classification gr-qchep-th
keywords theoriesclassghostostrogradskyscalar-tensoranalysisclassicalcontain
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abstract

We perform a Hamiltonian analysis and prove that a large class of scalar-tensor theories whose Lagrangian is given by a generic function $F\left(K_{ab},N,R_{ab},h^{ab},\nabla_a,t\right)$ is free from the Ostrogradsky ghost, and thus these theories contain at most 3 degrees of freedom at classical level.

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  1. A New Definition of Horndeski Theory and the Possibility of Multiple Scalar Field Extensions

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    Horndeski theory is re-characterized as the disformally-closed class anchored to a minimal seed action, reproducing the known single-field action and generating multi-field antisymmetric terms, with full multi-field v...

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