In this paper, we calculate the relativistic bulk tensor and shear tensor of the relativistic accretion ows in the Kerr metric, overall and without any approximation. We obtain the relations of all components of the relativistic bulk and shear tensor in terms of components of four-velocity and its derivatives, Christoffel symbols and metric components in the BLF. Then, these components are deri...

The dynamics of the uid elds in a large class of causal dissipative uid theories is studied. It is shown that the physical uid states in these theories must relax (on a time scale that is characteristic of the microscopic particle interactions) to ones that are essentially indistinguishable from the simple relativistic Navier-Stokes descriptions of these states. Thus, for example, in the relaxe...

We generalize (linearized) relativistic hydrodynamics by including all order gradient expansion of the energy momentum tensor, parametrized by four momenta-dependend transport coefficients, one of which is the usual shear viscosity. We then apply the AdS/CFT duality for N = 4 SUSY in order to compute the retarded correlators of the energy-momentum tensor. From these correlators we determine a l...

CURRENT THEORIES OF DISSIPATION IN THE RELATIVISTIC REGIME SUFFER FROM ONE OF TWO DEFICITS: either their dissipation is not causal or no profiles for strong shock waves exist. This paper proposes a relativistic Navier-Stokes-Fourier-type viscosity and heat conduction tensor such that the resulting second-order system of partial differential equations for the fluid dynamics of pure radiation is ...

Interacting fluids, endowed with bulk viscous stresses, are discussed in a unified perspective with the aim of generalizing the treatment of cosmological perturbation theory to the case where both fluctuating decay rates and fluctuating bulk viscosity coefficients are simultaneously present in the relativistic plasma. A gauge-invariant treatment of the qualitatively new phenomena arising in thi...

We show that spin polarization of a fermion in relativistic fluid at local thermodynamic equilibrium can be generated by the symmetric derivative four-temperature vector, defined as thermal shear. As consequence, besides vorticity, acceleration and temperature gradient, also shear tensor contributes to particles fluid. This contribution which is entirely non-dissipative, adds well known term pr...

We derive an expression for the tensor polarization of a system massive spin-1 particles in hydrodynamic framework. Starting from quantum kinetic theory based on Wigner-function formalism, we employ modified method moments which also takes into account all spin degrees freedom. It is shown that uncharged fluid determined by shear-stress tensor. In order to quantify this novel effect, provide fo...

The complete set of transport coefficients for two dimensional relativistic degenerate gases is derived within a relaxation approximation in kinetic theory, by considering both the particle and energy frames. A thorough comparison between Marle Anderson–Witting’s models carried out, pointing out drawbacks former when compared to latter full Boltzmann equation results non-degenerate limit. Such ...

We present a new derivation of relativistic second-order dissipative hydrodynamics for quantum systems using Zubarev’s non-equilibrium statistical-operator formalism. This is achieved by systematic expansion the energy–momentum tensor and charge current to second order in deviations from equilibrium. As concrete example, we obtain relaxation equations shear-stress tensor, bulk-viscous pressure,...