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arXiv · 0803.1929

Geometrical Structures of Space-Time in General Relativity

Ignacio Sanchez-Rodriguez
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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.

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Ignacio Sanchez-Rodriguez. 2008-03-13. Geometrical Structures of Space-Time in General Relativity. https://doi.org/10.1063/1.2958176

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