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In this chapter, we will use the language of Galilei manifolds and connections developed previously to introduce and discuss ‘classical’ Newton–Cartan gravity, i.e. the version of the theory presented by Künzle [6], Ehlers [2, 3], and Malament [7, Chap. 4]. We will see how to recover the usual formulation of Newtonian gravity, and explore the connection to GR.

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Classical Newton–Cartan Gravity

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  • 发表日期：

    2026年

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  • Philip K. Schwartz

摘要

In this chapter, we will use the language of Galilei manifolds and connections developed previously to introduce and discuss ‘classical’ Newton–Cartan gravity, i.e. the version of the theory presented by Künzle [6], Ehlers [2, 3], and Malament [7, Chap. 4]. We will see how to recover the usual formulation of Newtonian gravity, and explore the connection to GR.