Naslov
Newton-Cartan gravity and torsion

Autori
Bergshoeff, Eric ; Chatzistavrakidis, Athanasios ; Romano, Luca ; Rosseel, Jan

Izvornik
The Journal of high energy physics (1126-6708) 2017 (2017), 10; 194, 21

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Classical Theories of Gravity ; Space-Time Symmetries

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

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