Newton-Cartan gravity and torsion View Full Text


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Article Info

DATE

2017-10

AUTHORS

Eric Bergshoeff, Athanasios Chatzistavrakidis, Luca Romano, Jan Rosseel

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 Schrödinger field theory with dynamical exponent z = 2 for a complex compensating scalar and next coupling this field theory to a z = 2 Schrödinger geometry with arbitrary torsion. The latter theory can be obtained from either a gauging of the Schrödinger algebra, for arbitrary torsion, or from a null-reduction of conformal gravity. More... »

PAGES

194

References to SciGraph publications

  • 2015-07. Hořava-Lifshitz gravity from dynamical Newton-Cartan geometry in JOURNAL OF HIGH ENERGY PHYSICS
  • 2017-06. Physical stress, mass, and energy for non-relativistic matter in JOURNAL OF HIGH ENERGY PHYSICS
  • 2016-04. A Schrödinger approach to Newton-Cartan and Hořava-Lifshitz gravities in JOURNAL OF HIGH ENERGY PHYSICS
  • 2015-11. Newton-Cartan supergravity with torsion and Schrödinger supergravity in JOURNAL OF HIGH ENERGY PHYSICS
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    http://scigraph.springernature.com/pub.10.1007/jhep10(2017)194

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    http://dx.doi.org/10.1007/jhep10(2017)194

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