期刊
PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS
卷 2023, 期 1, 页码 -出版社
OXFORD UNIV PRESS INC
DOI: 10.1093/ptep/ptac161
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By generalizing the invertible disformal transformation on Horndeski theories with higher derivatives, we have constructed a new class of ghost-free scalar-tensor theories, which we refer to as generalized disformal Horndeski theories. These theories go beyond the quadratic/cubic DHOST class. We have explored cosmological perturbations and identified a subclass where gravitational waves propagate at the speed of light and clarified the conditions for the absence of ghost/gradient instabilities for tensor and scalar perturbations. We have also investigated the conditions under which a matter field can be consistently coupled to these theories without introducing unwanted extra degrees of freedom.
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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