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Paper IPM / Physic / 15573  


Abstract:  
We derive the covariant Poisson's equation of (d+1)dimensional NewtonCartan gravity with (twistless) torsion by applying the `nonrelativistic conformal method' introduced in []. We apply this method onshell to a Schrödinger field theory on the curved NewtonHooke background. The covariance of the field equation in the presence of the nonrelativistic cosmological constant, entails fixing all coefficients in the covariant Poisson's equation for (twistless) torsional NewtonCartan gravity. We further derive Ehlers conditions and an equation associated to the torsion in this method.
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