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This research explores an asymmetrical generalization of the Riemannian metric in the context of general relativity.

January 15, 1941Physical Review

On an Asymmetrical Metric in the Four-Space of General Relativity

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This research explores an asymmetrical generalization of the Riemannian metric in the context of general relativity.
Focused on mathematical aspects of asymmetrical metrics
Analyzed connections to five-dimensional Riemannian geometry
Considered implications for space-time and electromagnetic fields
Identified a simple generalization of the Riemannian metric
Established formal links to five-dimensional geometry
Suggested potential physical interpretations in five-dimensional relativity.

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Mathematical examination of an asymmetrical metric in four-space, indicating potential implications for electromagnetic field description.

Gunnar Randers (1941) studied this question.

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Mathematical examination of an asymmetrical metric in four-space, indicating potential implications for electromagnetic field description.