Considered one of the founding fathers of integral geometry, Luis Santaló has contributed to various areas of mathematics. His work has applications in number theory, in the theory of differential equations, in stochastic geometry, in functional analysis, and also in theoretical physics. Between the 1950’s and the 1970’s, he wrote a series of papers on general relativity and on the attempts at generalizing Einstein’s theory to formulate a unified field theory. His main contribution in this subject was to provide a classification theorem for the plethora of tensors that were populating Einstein’s generalized theory. This paper revisits his work on theoretical physics.

中文翻译：

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路易斯·桑塔洛和古典场论

路易斯·桑塔洛（LuisSantaló）被视为整数几何学的奠基人之一，为数学的各个领域做出了贡献。他的工作在数论，微分方程理论，随机几何，泛函分析以及理论物理学中都有应用。在1950年代和1970年代之间，他写了一系列有关广义相对论和试图推广爱因斯坦理论以建立统一场论的论文。他在该主题中的主要贡献是为构成爱因斯坦广义理论的大量张量提供分类定理。本文回顾了他在理论物理学方面的工作。