Emergent gravity in superplastic crystals

Abstract

We discuss emergent gravity in the superplastic crystals. We restrict ourselves by the consideration of fermions coupled to gravity. Gravity itself is either Riemannian (without torsion) or teleparallel (no curvature). We demonstrate that in this case the off - diagonal components of stress - energy tensor, being integrated over the whole volume, are topological invariants. In equilibrium their values are not changed if the system is modified smoothly.