ИСТИНА

We construct a hydrodynamic gradient expansion for the axial current and the stress-energy tensor of massless fermions in a fluid with rotation and acceleration in a curved space-time. We establish a duality between the currents induced by the cosmological constant and the finite acceleration in flat space-time. We also verify the duality between the current in a rotating and accelerated medium, the so-called kinematical vortical effect (KVE), and the gravitational chiral anomaly. Finally, we construct the hydrodynamic expansion for the stress-energy and show brand new derivation of Unruh-Deser temperature, which depends on the acceleration in five-dimensional space-time.