Abstract
We focus attention on Lorentzian manifolds in this chapter. After a brief mathematical review, the fundamental notions of causality and time orientability are introduced. Spacetimes are then defined and several examples of spacetimes important in physics are discussed. These examples will be everywhere dense in this book and we urge the reader to master them before proceeding further.
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© 1977 Springer-Verlag, New York Inc.
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Sachs, R.K., Wu, HH. (1977). Spacetimes. In: General Relativity for Mathematicians. Graduate Texts in Mathematics, vol 48. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-9903-5_2
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DOI: https://doi.org/10.1007/978-1-4612-9903-5_2
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-9905-9
Online ISBN: 978-1-4612-9903-5
eBook Packages: Springer Book Archive