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A class of ghost-free theories in symmetric teleparallel geometry

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arxiv 2406.19355 v2 pith:5X7XRKHY submitted 2024-06-27 gr-qc astro-ph.CO

A class of ghost-free theories in symmetric teleparallel geometry

classification gr-qc astro-ph.CO
keywords theoriesclassghost-freesymmetricteleparallelaccommodatedarenabreaking
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Theories formulated in the arena of teleparallel geometries are generically plagued by ghost-like instabilities or other 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 global degree of freedom and how Horndeski theories and healthy couplings to matter fields can be readily accommodated.

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