A construction of the general relativistic Boltzmann equation.
A propos de la conjecture de la balle liquide en relativité générale
Algebro-geometric approach to the Ernst equation I. Mathematical Preliminaries
1. Introduction. It is well known that methods of algebraic geometry and, in particular, Riemann surface techniques are well suited for the solution of nonlinear integrable equations. For instance, for nonlinear evolution equations, so called 'finite gap' solutions have been found by the help of these methods. In 1989 Korotkin [9] succeeded in applying these techniques to the Ernst equation, which is equivalent to Einstein's vacuum equation for axisymmetric stationary fields. But, the Ernst equation...
An introduction to the Einstein-Vlasov system
Analysis of a semi-Lagrangian method for the spherically symmetric Vlasov-Einstein system
We consider the spherically symmetric Vlasov-Einstein system in the case of asymptotically flat spacetimes. From the physical point of view this system of equations can model the formation of a spherical black hole by gravitational collapse or describe the evolution of galaxies and globular clusters. We present high-order numerical schemes based on semi-Lagrangian techniques. The convergence of the solution of the discretized problem to the exact solution is proven and high-order error estimates...
Asymptotic waves and critical time in general relativistic magnetohydrodynamics
Dynamic pressure in relativistic thermodynamics
Exact solutions of the equations of relativistic hydrodynamics representing potential flows.
Existence and uniqueness theorems for viscous fluids capable of heat conduction in a relativistic theory of non stationary thermodynamics
Gli universi ipersferici, il gruppo conforme ed il campo gravitazionale di Newton.
Non-Riemannian gravitational interactions
Recent developments in theories of non-Riemannian gravitational interactions are outlined. The question of the motion of a fluid in the presence of torsion and metric gradient fields is approached in terms of the divergence of the Einstein tensor associated with a general connection. In the absence of matter the variational equations associated with a broad class of actions involving non-Riemannian fields give rise to an Einstein-Proca system associated with the standard Levi-Civita connection.
Numerical hydrodynamics and magnetohydrodynamics in general relativity.
Numerical hydrodynamics in special relativity.
On pocket and empirical temperatures. An alternative choice for the heat flux vector in Eckart's relativistic thermodynamics
On the geometrical structure of shock waves in general relativity
On the geometry of the relativistic electromagnetic fluid flows
On the mathematical structure of test relativistic magnetofluiddynamics
Physics of neutron star crusts.
Post-Newtonian hydrodynamic equations using the (3+1) formalism in general relativity
The post-Newtonian (PN) hydrodynamic equations are obtained in the (3+1) formalism, which include the 2.5PN order as the reaction due to the quadrupole gravitational radiation. These equations are valid in various slice conditions, while we adopt a kind of transverse gauge condition to determine the shift vector. In particular, we describe methods to solve the 2PN tensor potential which arises from the spatial 3-metric. Our formulaton in the PN approximation using the (3+1) formalism will be useful...
Relativistic and nonrelativistic elastodynamics with small shear strains