Living Reviews in RelativityCurrent articles from Living Reviews in Relativity. Living Reviews in Relativity is a peer-refereed, solely online physics journal publishing invited reviews covering all areas of relativity research. Reviews are kept up to date by their authors. All reference information is collected into a searchable database. Living Reviews in Relativity is a free resource to the scientific community. Published by the Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Potsdam,...Loop Quantum Gravity- January 26, 1998 The problem of finding the quantum theory of the gravitational field, and thus understanding what is quantum spacetime, is still open. One of the most active of the current approaches is loop quantum gravity. Loop quantum gravity is a mathematically well-defined, non-perturbative and background independent quantization of general relativity, with its conventional matter couplings. Research in loop quantum gravity today forms a vast area, ranging from mathematical foundations to physical...http://www.livingreviews.org/lrr-1998-1 Hyperbolic Methods for Einstein's Equations- January 26, 1998 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.http://www.livingreviews.org/lrr-1998-3 |