Is general relativity essentially understood?
Abstract
The content of Einstein's theory of gravitation is encoded in the properties of the solutions to his field equations. There has been obtained a wealth of information about these solutions in the ninety years the theory has been around. It led to the prediction and the observation of physical phenomena which confirm the important role of general relativity in physics. The understanding of the domain of highly dynamical, strong field configurations is, however, still quite limited. The gravitational wave experiments are likely to provide soon observational data on phenomena which are not accessible by other means. Further theoretical progress will require, however, new methods for the analysis and the numerical calculation of the solutions to Einstein's field equations on large scales and under general assumptions. We discuss some of the problems involved, describe the status of the field and recent results, and point out some open problems.
 Publication:

Annalen der Physik
 Pub Date:
 January 2006
 DOI:
 10.1002/andp.200510173
 arXiv:
 arXiv:grqc/0508016
 Bibcode:
 2006AnP...518...84F
 Keywords:

 Classical general relativity;
 singularities and cosmic censorship;
 initial value problem for Einstein's field equations;
 asymptotic structure;
 numerical relativity;
 classical black holes;
 General Relativity and Quantum Cosmology
 EPrint:
 Extended version of a talk which was to be delivered at the DPG Fruehjahrstagung in Berlin, 5 March 2005