Hyperbolic Methods for Einstein’s Equations
نویسنده
چکیده
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' equations by either removing some gauge freedoms from them, or by considering certain linear combinations of a subset of them.
منابع مشابه
First-order symmetrizable hyperbolic formulations of Einstein’s equations including lapse and shift as dynamical fields
First-order hyperbolic systems are promising as a basis for numerical integration of Einstein’s equations. In previous work, the lapse and shift have typically not been considered part of the hyperbolic system and have been prescribed independently. This can be expensive computationally, especially if the prescription involves solving elliptic equations. Therefore, including the lapse and shift...
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