Titlebook: An Introduction to Mathematical Relativity; José Natário Textbook 2021 The Editor(s) (if applicable) and The Author(s), under exclusive li

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José NatárioOffers a view on the advanced mathematical aspects of general relativity.Aimed to graduate students in Mathematics and Physics with special interest on the field.Concentrates on the simplest versions

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https://doi.org/10.1007/978-3-030-65683-6Penrose diagrams; causality theory; singularity theorems; Cauchy problem; Einstein equations; positive ma

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978-3-030-65685-0The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

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Mass in General Relativity,ress, 1984), we start by defining the Komar mass for stationary spacetimes. We then discuss field theory and introduce the Einstein–Hilbert action as a means of motivating the definition of the ADM mass. Finally, we prove the (Riemannian) positive mass theorem and the (Riemannian) Penrose inequality

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