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2022

Built-in scordatura in U-DHOST

De Felice, Antonio, Mukohyama, Shinji, Takahashi, Kazufumi

Understand

Modified gravity theories can accommodate exact solutions, for which the metric has the same form as the one in general relativity, i.e., stealth solutions.

One problem with these stealth solutions is that perturbations around them exhibit strong coupling when the solutions are realized in degenerate higher-order scalar-tensor theories.
We show that the strong coupling problem can be circumvented in the framework of the so-called U-DHOST theories, in which the degeneracy is partially broken in such a way that higher-derivative terms are degenerate only in the unitary gauge.
In this sense, the scordatura effect is built-in in U-DHOST theories in general.