Add to ORKGAbstract. We establish a variant of the symmetric quasi linear first or-der system given by H. Friedrich for the evolution equations of gravitating fluid bodies in General Relativity which can be important to solve realis-tic problems. Our version has the advantage of introducing only physical characteristics. We state explicitly the conditions under which the system is hyperbolic and admits a well posed Cauchy problem. 1
We use the Einstein equations, stated as an initial-value problem (3+1 formalism), to present a meth...
The Einstein equation for stationary axially-symmetric vacua reduces to a system of nonlinear partia...
Many of the technical complications associated with the general theory of relativity ultimately stem...
We establish a variant, which has the advantage of introducing only physical characteristics, of the...
We establish a variant of the symmetric quasi linear first order system given by H. Friedrich for th...
A systematic presentation of the quasi-linear first order symmetric hyperbolic systems of Friedrichs...
We review some well posed formulations of the evolution part of the Cauchy problem of General Relati...
We consider the Einstein-Euler equations for a simple ideal fluid in the domain where the speed of s...
I review evolutionary aspects of general relativity, in particular those related to the hyperbolic c...
Using new methods based on first order techniques, it is shown how sharp theorems for existence, uni...
We derive a new first-order symmetric hyperbolic formulation for Einstein's equations which involves...
The causal structure of Einstein's evolution equations is considered. We show that in general they c...
A recent mathematical technique for nonlinear hyperbolic systems, maximally dissipative boundary con...
We derive a new first-order formulation for Einstein's equations which involves fewer unknowns than ...
We present two families of first-order in time and second-order in space formulations of the Einstei...
We use the Einstein equations, stated as an initial-value problem (3+1 formalism), to present a meth...
The Einstein equation for stationary axially-symmetric vacua reduces to a system of nonlinear partia...
Many of the technical complications associated with the general theory of relativity ultimately stem...
We establish a variant, which has the advantage of introducing only physical characteristics, of the...
We establish a variant of the symmetric quasi linear first order system given by H. Friedrich for th...
A systematic presentation of the quasi-linear first order symmetric hyperbolic systems of Friedrichs...
We review some well posed formulations of the evolution part of the Cauchy problem of General Relati...
We consider the Einstein-Euler equations for a simple ideal fluid in the domain where the speed of s...
I review evolutionary aspects of general relativity, in particular those related to the hyperbolic c...
Using new methods based on first order techniques, it is shown how sharp theorems for existence, uni...
We derive a new first-order symmetric hyperbolic formulation for Einstein's equations which involves...
The causal structure of Einstein's evolution equations is considered. We show that in general they c...
A recent mathematical technique for nonlinear hyperbolic systems, maximally dissipative boundary con...
We derive a new first-order formulation for Einstein's equations which involves fewer unknowns than ...
We present two families of first-order in time and second-order in space formulations of the Einstei...
We use the Einstein equations, stated as an initial-value problem (3+1 formalism), to present a meth...
The Einstein equation for stationary axially-symmetric vacua reduces to a system of nonlinear partia...
Many of the technical complications associated with the general theory of relativity ultimately stem...