We review some well posed formulations of the evolution part of the Cauchy problem of General Relativity that we have recently obtained. We include also a new first order symmetric hyperbolic system based directly on the Riemann tensor and the full Bianchi identities. It has only physical characteristics and matter sources can be included. It is completely equivalent to our other system with these properties
We present two families of first-order in time and second-order in space formulations of the Einstei...
We derive a new first-order formulation for Einstein's equations which involves fewer unknowns than ...
A recent mathematical technique for nonlinear hyperbolic systems, maximally dissipative boundary con...
We establish a variant of the symmetric quasi linear first order system given by H. Friedrich for th...
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...
A systematic presentation of the quasi-linear first order symmetric hyperbolic systems of Friedrichs...
We derive a new first-order symmetric hyperbolic formulation for Einstein's equations which involves...
I review evolutionary aspects of general relativity, in particular those related to the hyperbolic c...
We show that, with a small modification, the formulation of the Einstein equations of Uggla et al, w...
A choice of first-order variables for the characteristic problem of the linearized Einstein equation...
We consider the problem of reducing initial value problems for Einstein's field equations to initial...
We give a well posed initial value formulation of the Baumgarte-Shapiro-Shibata-Nakamura form of Ein...
International audienceWe study the well-posedness of the initial value (Cauchy) problem of vacuum Ei...
Using new methods based on first order techniques, it is shown how sharp theorems for existence, uni...
We present two families of first-order in time and second-order in space formulations of the Einstei...
We derive a new first-order formulation for Einstein's equations which involves fewer unknowns than ...
A recent mathematical technique for nonlinear hyperbolic systems, maximally dissipative boundary con...
We establish a variant of the symmetric quasi linear first order system given by H. Friedrich for th...
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...
A systematic presentation of the quasi-linear first order symmetric hyperbolic systems of Friedrichs...
We derive a new first-order symmetric hyperbolic formulation for Einstein's equations which involves...
I review evolutionary aspects of general relativity, in particular those related to the hyperbolic c...
We show that, with a small modification, the formulation of the Einstein equations of Uggla et al, w...
A choice of first-order variables for the characteristic problem of the linearized Einstein equation...
We consider the problem of reducing initial value problems for Einstein's field equations to initial...
We give a well posed initial value formulation of the Baumgarte-Shapiro-Shibata-Nakamura form of Ein...
International audienceWe study the well-posedness of the initial value (Cauchy) problem of vacuum Ei...
Using new methods based on first order techniques, it is shown how sharp theorems for existence, uni...
We present two families of first-order in time and second-order in space formulations of the Einstei...
We derive a new first-order formulation for Einstein's equations which involves fewer unknowns than ...
A recent mathematical technique for nonlinear hyperbolic systems, maximally dissipative boundary con...
