Newton-Cartan gravity and torsion
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Publication:1706651
DOI10.1007/JHEP10(2017)194zbMATH Open1383.83106arXiv1708.05414MaRDI QIDQ1706651
Author name not available (Why is that?)
Publication date: 27 March 2018
Published in: (Search for Journal in Brave)
Abstract: 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 Schroedinger field theory with dynamical exponent z=2 for a complex compensating scalar and next coupling this field theory to a z=2 Schroedinger geometry with arbitrary torsion. The latter theory can be obtained from either a gauging of the Schroedinger algebra, for arbitrary torsion, or from a null-reduction of conformal gravity.
Full work available at URL: https://arxiv.org/abs/1708.05414
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