5 papers
Well Posed Reduced Systems for the Einstein Equations
Y. Choquet-Bruhat, J. W. York
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…
Geometrical Hyperbolic Systems for General Relativity and Gauge Theories
A. Abrahams, A. Anderson, Y. Choquet-Bruhat +1
The evolution equations of Einstein's theory and of Maxwell's theory---the latter used as a simple model to illustrate the former--- are written in gauge covariant first order symm…
Mixed Elliptic and Hyperbolic Systems for the Einstein Equations
Y. Choquet-Bruhat, J. W. York
We analyse the mathematical underpinnings of a mixed hyperbolic-elliptic form of the Einstein equations of motion in which the lapse function is determined by specified mean curvat…
Einstein and Yang-Mills theories in hyperbolic form without gauge-fixing
A. Abrahams, A. Anderson, Y. Choquet-Bruhat +1
The evolution of physical and gauge degrees of freedom in the Einstein and Yang-Mills theories are separated in a gauge-invariant manner. We show that the equations of motion of th…
Geometrical Well Posed Systems for the Einstein Equations
Y. Choquet-Bruhat, J. W. York
We show that, given an arbitrary shift, the lapse can be chosen so that the extrinsic curvature of the space slices with metric in arbitrary coordinates of a…