Newton-Cartan gravity and torsion (CROSBI ID 251884)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Bergshoeff, Eric ; Chatzistavrakidis, Athanasios ; Romano, Luca ; Rosseel, Jan
engleski
Newton-Cartan gravity and torsion
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.
Classical Theories of Gravity ; Space-Time Symmetries
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Podaci o izdanju
2017 (10)
2017.
194
21
objavljeno
1126-6708
1029-8479
10.1007/JHEP10(2017)194