Abstract The duality-symmetric, Maxwell-like, formulation of linearized gravity introduced by Barnett (New J Phys 16, 2014) is used to generalize the conservation laws for helicity, spin part angular momentum, and spin-flux, case gravity. These have been shown follow from property helicity array, an analog Lipkin’s zilch tensor. array constructed be conserved.

We compute the dispersion relations for scalar, vector and tensor modes of a viscous relativistic fluid, linearized around an equilibrium solution, divergence type theory (which, in theory, includes Israel-Stewart anisotropic hydrodynamics as particular cases) contrast them to corresponding results derived from kinetic under relaxation time approximation, causal first order theories. conclude t...