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Non-relativistic expansion of the Einstein-Hilbert Lagrangian

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arxiv 1905.13723 v2 pith:NWAEU237 submitted 2019-05-31 gr-qc hep-th

Dennis Hansen , Jelle Hartong , Niels A. Obers This is my paper · ORCID
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keywords lagrangianeinstein-hilbertexpandgivennon-relativisticcorrespondingexpansionfields
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We present a systematic technique to expand the Einstein-Hilbert Lagrangian in inverse powers of the speed of light squared. The corresponding result for the non-relativistic gravity Lagrangian is given up to next-to-next-to-leading order. The techniques are universal and can be used to expand any Lagrangian theory whose fields are a function of a given parameter.

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    A c-dependent similarity transformation generates new Galilean and Carrollian fermion actions, including a Carrollian model with non-removable finite energy and a Galilean model with an accidental fermionic gauge symmetry.

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