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Nonlinear definition of the shadowy mode in higher-order scalar-tensor theories

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arxiv 2110.03194 v2 pith:BHS7OM7J submitted 2021-10-07 gr-qc hep-th

Antonio De Felice , Shinji Mukohyama , Kazufumi Takahashi This is my paper · ORCID
classification gr-qchep-th
keywords modetheoriesextrahigher-ordernonlinearscalar-tensorshadowyapparently
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We study U-DHOST theories, i.e., higher-order scalar-tensor theories which are degenerate only in the unitary gauge and yield an apparently unstable extra mode in a generic coordinate system. We show that the extra mode satisfies a three-dimensional elliptic differential equation on a spacelike hypersurface, and hence it does not propagate. We clarify how to treat this "shadowy" mode at both the linear and the nonlinear levels.

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Cited by 2 Pith papers

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    Under specific algebraic conditions on the coupling functions, Reissner-Nordström and Schwarzschild-(A)dS solutions persist in higher-order Maxwell-Einstein theories, including stealth solutions and dyonic solutions i...

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