A CLASS OF GHOST-FREE THEORIES IN SYMMETRIC TELEPARALLEL GEOMETRY

A class of ghost-free theories in symmetric teleparallel geometry

A class of ghost-free theories in symmetric teleparallel geometry

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Abstract Theories formulated in the arena of teleparallel geometries are generically plagued by ghost-like instabilities or other frostie diet root beer pathologies that are ultimately caused by the breaking of some symmetries.In this work, we construct a class of ghost-free theories based on a symmetry under Transverse Diffeomorphisms that is naturally realised in symmetric teleparallelism.We explicitly show their equivalence to a family of theories with an extra scalar field plus a usmc msgt chevron global degree of freedom and how Horndeski theories and healthy couplings to matter fields can be readily accommodated.

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