Geometrical Structures of Space-Time in General Relativity

Details Geometrical Structures of Space-Time in General Relativity Geometrical Structures of Space-Time in General Relativity

2008-03-13

arxiv.org/abs/0803.1929v1

AIPConf.Proc.1023:202-206,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

To appear in the AIP Conference Proceedings of the XVI International Fall Workshop on Geometry and Physics, Lisbon - Portugal,

Scientific paper

10.1063/1.2958176

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.

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