Geometrical Structures of Space-Time in General Relativity
General Relativity and Quantum Cosmology
2008-11-26 v1
Abstract
Space-Time in general relativity is a dynamical entity because it is subject to the Einstein field equations. The space-time metric provides different geometrical structures: conformal, volume, projective and linear connection. A deep understanding of them has consequences on the dynamical role played by geometry. We present a unified description of those geometrical structures, with a standard criterion of naturalness, and then we establish relationships among them and try to clarify the meaning of associated geometric magnitudes.
Cite
@article{arxiv.0803.1929,
title = {Geometrical Structures of Space-Time in General Relativity},
author = {Ignacio Sanchez-Rodriguez},
journal= {arXiv preprint arXiv:0803.1929},
year = {2008}
}
Comments
To appear in the AIP Conference Proceedings of the XVI International Fall Workshop on Geometry and Physics, Lisbon - Portugal, 5-8 September 2007. 5 pages