Relativistic thermo-hydrodynamics and conservation laws in continua with thermal inertia
A general relativistic Lagrangian is given which includes the effect of heat flux and non-equilibrium stress in the energy momentum tensor of an extended reversible fluid with thermal inertia. The extended Hamiltonian principle is used to derive the energy momentum tensor by taking the constraints into account with the help of Lagrange multipliers. This technique enables to derive relativistic definitions of heat and non-equilibrium stress. Reviewer's remark: The role of the so-called conservation laws remains unclear because such laws do not exist in general relativity without further restrictions on the space time manifold.
scientific article; zbMATH DE number 1857370
scientific article