TL;DR
This paper explores the Principle of Equivalence and Weyl theorem to analyze how gravity can be interpreted as a geometric effect, examining the necessary conditions on connections for this geometrization.
Contribution
It provides a detailed analysis of the restrictions on connections needed for geometrizing gravity within a broad theoretical framework.
Findings
Identifies conditions on connections for gravity to be interpreted geometrically
Clarifies the role of the Principle of Equivalence in geometric gravity theories
Discusses limitations and generalizations of geometrization of gravity
Abstract
We consider the Principle of Equivalence along with Weyl theorem to discuss the interpretation of gravity as a geometric effect; we study what are the restrictions on the connections that must be required for this geometrization to occur in the most general case.
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Taxonomy
TopicsRelativity and Gravitational Theory · History and Theory of Mathematics · Mathematics and Applications