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2018

Carrollian conservation laws and Ricci-flat gravity

Ciambelli, Luca, Marteau, Charles

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We construct the Carrollian equivalent of the relativistic energy--momentum tensor, based on variation of the action with respect to the elementary fields of the Carrollian geometry.

We prove that, exactly like in the relativistic case, it satisfies conservation equations that are imposed by general Carrollian covariance.
In the flat case we recover the usual non-symmetric energy--momentum tensor obtained using N\oe ther procedure.
We show how Carrollian conservation equations emerge taking the ultra-relativistic limit of the relativistic ones.