I review evolutionary aspects of general relativity, in particular those related to the hyperbolic character of the field equations and to the applications or consequences that this property entails. I look at several approaches to obtaining symmetric hyperbolic systems of equations out of Einstein's equations by either removing some gauge freedoms from them, or by considering certain linear combinations of a subset of them
We review some well posed formulations of the evolution part of the Cauchy problem of General Relati...
The Einstein evolution equations have previously been written in a number of symmetric hyperbolic fo...
We find a one-parameter family of variables which recast the 3+1 Einstein equations into first-order...
We consider the problem of reducing initial value problems for Einstein's field equations to initial...
The causal structure of Einstein's evolution equations is considered. We show that in general they c...
An important question in mathematical relativity theory is that of the nature of spacetime singulari...
Using new methods based on first order techniques, it is shown how sharp theorems for existence, uni...
Abstract. We establish a variant of the symmetric quasi linear first or-der system given by H. Fried...
The causal structure of Einstein's evolution equations is considered. We show that in general they c...
The evolution equations of Einstein’s theory and of Maxwell’s theory—the latter used as a simple mod...
We discuss the hyperboloidal evolution problem in general relativity from a numerical perspective, a...
We present a mathematical characterization of hyperbolic gauge pathologies in electrodynamics and ge...
We derive a new first-order symmetric hyperbolic formulation for Einstein's equations which involves...
We establish a variant, which has the advantage of introducing only physical characteristics, of the...
We consider the Einstein-Euler equations for a simple ideal fluid in the domain where the speed of s...
We review some well posed formulations of the evolution part of the Cauchy problem of General Relati...
The Einstein evolution equations have previously been written in a number of symmetric hyperbolic fo...
We find a one-parameter family of variables which recast the 3+1 Einstein equations into first-order...
We consider the problem of reducing initial value problems for Einstein's field equations to initial...
The causal structure of Einstein's evolution equations is considered. We show that in general they c...
An important question in mathematical relativity theory is that of the nature of spacetime singulari...
Using new methods based on first order techniques, it is shown how sharp theorems for existence, uni...
Abstract. We establish a variant of the symmetric quasi linear first or-der system given by H. Fried...
The causal structure of Einstein's evolution equations is considered. We show that in general they c...
The evolution equations of Einstein’s theory and of Maxwell’s theory—the latter used as a simple mod...
We discuss the hyperboloidal evolution problem in general relativity from a numerical perspective, a...
We present a mathematical characterization of hyperbolic gauge pathologies in electrodynamics and ge...
We derive a new first-order symmetric hyperbolic formulation for Einstein's equations which involves...
We establish a variant, which has the advantage of introducing only physical characteristics, of the...
We consider the Einstein-Euler equations for a simple ideal fluid in the domain where the speed of s...
We review some well posed formulations of the evolution part of the Cauchy problem of General Relati...
The Einstein evolution equations have previously been written in a number of symmetric hyperbolic fo...
We find a one-parameter family of variables which recast the 3+1 Einstein equations into first-order...