2005/12/22 by J. Friedman, John L. Friedman, A. Higuchi +1 · 1 citation
Physics and Astronomy · #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #gr-qc
paper · pdf · doi:10.1002/andp.200510172
published as AnnalenPhys.15:109-128,2006 · Dedicated to Rafael Sorkin, whose tutoring and friendship from third grade on is responsible for one of us (JF) having spent his adult life in physics and whose work has inspired both of us. In v.2, some references are updated, and references are added to early work on 2+1 spacetimes and to work on event-horizon topology
openalex publication_date 2005/12/22 · arxiv created 2008/06/03 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28
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.