title: Time-dependent closure relations for relativistic collisionless fluid equations.
abstract: Linear fluid equations for relativistic and collisionless plasmas are derived. Closure relations for the fluid equations are analytically computed from the relativistic Vlasov equation in the Fourier space (ω,k), where ω and k are the conjugate variables of time t and space x variables, respectively. The mathematical method used is based on the projection operator techniques and the continued fraction mathematical tools. The generalized heat flux and stress tensor are calculated for arbitrary parameter ω/kc where c is the speed of light, and for arbitrary relativistic parameter z=mc²/T , where m is the particle rest mass and T, the plasma temperature in energy units.
authors.affiliation: Laboratoire Electronique Quantique, Faculté de Physique, USTHB, BP32 El Alia, 16111 Bab Ezzouar, Algiers, Algeria. karimabendib@hotmail.com
authors.forename: K
authors.initials: K
authors.lastname: Bendib-Kalache
authors.forename: A
authors.initials: A
authors.lastname: Bendib
authors.forename: K Mohammed
authors.initials: KM
authors.lastname: El Hadj