Newton-Cartan gravity and torsion

Bergshoeff, E., Chatzistavrakidis, A., Romano, L. & Rosseel, J., 27-Oct-2017, In : Journal of High Energy Physics. 2017, 10, 20 p., 194.

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We compare the gauging of the Bargmann algebra, for the case of arbitrary torsion, with the result that one obtains from a null-reduction of General Relativity. Whereas the two procedures lead to the same result for Newton-Cartan geometry with arbitrary torsion, the null-reduction of the Einstein equations necessarily leads to Newton-Cartan gravity with zero torsion. We show, for three space-time dimensions, how Newton-Cartan gravity with arbitrary torsion can be obtained by starting from a Schrodinger field theory with dynamical exponent z = 2 for a complex compensating scalar and next coupling this field theory to a z = 2 Schrodinger geometry with arbitrary torsion. The latter theory can be obtained from either a gauging of the Schrodinger algebra, for arbitrary torsion, or from a null-reduction of conformal gravity.

Original languageEnglish
Article number194
Number of pages20
JournalJournal of High Energy Physics
Issue number10
Publication statusPublished - 27-Oct-2017


  • Classical Theories of Gravity, Space-Time Symmetries

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