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Generalized disformal Horndeski theories: cosmological perturbations and consistent matter coupling

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arxiv 2209.02176 v2 pith:ZYQ2PTA3 submitted 2022-09-06 gr-qc astro-ph.COhep-th

Generalized disformal Horndeski theories: cosmological perturbations and consistent matter coupling

Kazufumi Takahashi , Masato Minamitsuji , Hayato Motohashi This is my paper
classification gr-qc astro-ph.COhep-th
keywords theoriesdisformalhorndeskiperturbationsclassconditionscosmologicalgeneralized
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Invertible disformal transformations are a useful tool to investigate ghost-free scalar-tensor theories. By performing a higher-derivative generalization of the invertible disformal transformation on Horndeski theories, we construct a novel class of ghost-free scalar-tensor theories, which we dub generalized disformal Horndeski theories. Specifically, these theories lie beyond the quadratic/cubic DHOST class. We explore cosmological perturbations to identify a subclass where gravitational waves propagate at the speed of light and clarify the conditions for the absence of ghost/gradient instabilities for tensor and scalar perturbations. We also investigate the conditions under which a matter field can be consistently coupled to these theories without introducing unwanted extra degrees of freedom.

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Cited by 4 Pith papers

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