Lie algebra expansions and actions for non-relativistic gravity

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Abstract

We show that the general method of Lie algebra expansions can be applied to re-construct several algebras and related actions for non-relativistic gravity that have occurred in the recent literature. We explain the method and illustrate its applications by giving several explicit examples. The method can be generalized to include ultra-relativistic gravity and non-relativistic supergravity as well.

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Bergshoeff, E., Izquierdo, J. M., Ortín, T., & Romano, L. (2019). Lie algebra expansions and actions for non-relativistic gravity. Journal of High Energy Physics, 2019(8). https://doi.org/10.1007/JHEP08(2019)048

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