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Examples of spacetimes Chapter 4. Measurements and particles Chapter 5. Matter and electromagnetism Chapter 6. The Einstein field equation Chapter 7. Cosmology Chapter 8. Chronology, singularities and black holes Chapter 9. Conclusion CHAPTER 1. This survey is for mathematicians but is about physics. We have in mind a reader who hasn't worked on physics since sophomore days but is familiar with tensor algebra, differential topology and Riemannian geometry on the introductory graduate level. The theory of Lie groups is needed for discussing examples but not for the fundamental ideas*
Sachs et al. (Sat,) studied this question.
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