Newton-Cartan gravity and torsionBergshoeff, E., Chatzistavrakidis, A., Romano, L. & Rosseel, J., 27-Oct-2017, In : Journal of High Energy Physics. 2017, 10, 20 p., 194.
Research output: Contribution to journal › Article › Academic › peer-review
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.
|Number of pages||20|
|Journal||Journal of High Energy Physics|
|Publication status||Published - 27-Oct-2017|
- Classical Theories of Gravity, Space-Time Symmetries