We establish a variant of the symmetric quasi linear first order system given by H. Friedrich for the evolution equations of gravitating fluid bodies in General Relativity which can be important to solve realistic 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
PhD Theses.The Cauchy problem (or, initial value problem) provides a setting for the analysis of ge...
We show that, with a small modification, the formulation of the Einstein equations of Uggla et al, w...
A recent dynamical formulation at a derivative level partial derivative (3)g for fluid spacetime geo...
We establish a variant, which has the advantage of introducing only physical characteristics, of the...
Abstract. We establish a variant of the symmetric quasi linear first or-der system given by H. Fried...
We review some well posed formulations of the evolution part of the Cauchy problem of General Relati...
A systematic presentation of the quasi-linear first order symmetric hyperbolic systems of Friedrichs...
We consider the Einstein-Euler equations for a simple ideal fluid in the domain where the speed of s...
Using new methods based on first order techniques, it is shown how sharp theorems for existence, uni...
I review evolutionary aspects of general relativity, in particular those related to the hyperbolic c...
The causal structure of Einstein's evolution equations is considered. We show that in general they c...
We present two families of first-order in time and second-order in space formulations of the Einstei...
We derive a new first-order symmetric hyperbolic formulation for Einstein's equations which involves...
We give a well posed initial value formulation of the Baumgarte-Shapiro-Shibata-Nakamura form of Ein...
We use the Einstein equations, stated as an initial-value problem (3+1 formalism), to present a meth...
PhD Theses.The Cauchy problem (or, initial value problem) provides a setting for the analysis of ge...
We show that, with a small modification, the formulation of the Einstein equations of Uggla et al, w...
A recent dynamical formulation at a derivative level partial derivative (3)g for fluid spacetime geo...
We establish a variant, which has the advantage of introducing only physical characteristics, of the...
Abstract. We establish a variant of the symmetric quasi linear first or-der system given by H. Fried...
We review some well posed formulations of the evolution part of the Cauchy problem of General Relati...
A systematic presentation of the quasi-linear first order symmetric hyperbolic systems of Friedrichs...
We consider the Einstein-Euler equations for a simple ideal fluid in the domain where the speed of s...
Using new methods based on first order techniques, it is shown how sharp theorems for existence, uni...
I review evolutionary aspects of general relativity, in particular those related to the hyperbolic c...
The causal structure of Einstein's evolution equations is considered. We show that in general they c...
We present two families of first-order in time and second-order in space formulations of the Einstei...
We derive a new first-order symmetric hyperbolic formulation for Einstein's equations which involves...
We give a well posed initial value formulation of the Baumgarte-Shapiro-Shibata-Nakamura form of Ein...
We use the Einstein equations, stated as an initial-value problem (3+1 formalism), to present a meth...
PhD Theses.The Cauchy problem (or, initial value problem) provides a setting for the analysis of ge...
We show that, with a small modification, the formulation of the Einstein equations of Uggla et al, w...
A recent dynamical formulation at a derivative level partial derivative (3)g for fluid spacetime geo...