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Title:
Torsional Newton-Cartan gravity from a 'pre-Newtonian' expansion of GR
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Abstract:
The post-Newtonian expansion provides a framework that perturbatively describes General Relativity through deviations from Newtonian gravity. This method can be made manifestly covariant and in that form the leading order is Newton-Cartan gravity, the covariant formulation of Newtonian gravity. In this talk I point out how the regime of general relativity well-approximated by this expansion can be extended by relaxing a certain simplifying assumption. This leads to an expansion that at the leading order is torsional Newton-Cartan gravity, and since the order at which the torsion appears is one higher than that of the standard Newtonian fields in a sense it provides a 'pre-Newtonian' expansion. We argue that this expansion captures certain strong gravity effects that are absent in the Newtonian regime.
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