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Invertible disformal transformations with arbitrary higher-order derivatives

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arxiv 2307.08814 v2 pith:JTKCENLE submitted 2023-07-17 gr-qc astro-ph.COhep-th

Kazufumi Takahashi This is my paper
classification gr-qcastro-ph.COhep-th
keywords disformalinvertibletheoriestransformationsarbitraryderivativesgeneralizationghost-free
verification ladder T0 review T1 audit T2 compute T3 formal
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Invertible disformal transformations serve as a useful tool to explore ghost-free scalar-tensor theories. In this paper, we construct a generalization of invertible disformal transformations that involves arbitrary higher-order covariant derivatives of the scalar field. As a result, we obtain a more general class of ghost-free scalar-tensor theories than ever. Notably, our generalization is such that matter fields can be consistently coupled to these theories without introducing an unwanted extra degree of freedom in the unitary gauge.

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    Under specific algebraic conditions on the coupling functions, Reissner-Nordström and Schwarzschild-(A)dS solutions persist in higher-order Maxwell-Einstein theories, including stealth solutions and dyonic solutions i...

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