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Curved Spacetime

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Elements of General Relativity

Part of the book series: Compact Textbooks in Mathematics ((CTM))

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Abstract

In this chapter we introduce the main ideas of general relativity.

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Notes

  1. 1.

    It is rather ironic that general relativistic cosmology actually predicts existence of a preferred cosmic time. This does, of course, not contradict the basic principle that the theory should be formulated so that no preferred coordinates exist.

  2. 2.

    There is actually a sense in which this follows from non-vacuum Einstein equations [31, 37, 90], compare Sect. 2.3.2 below, but this is usually admitted as an axiom.

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Authors and Affiliations

  1. Faculty of Physics, University of Vienna, Vienna, Austria

    Piotr T. Chruściel

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  1. Piotr T. Chruściel
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Chruściel, P.T. (2019). Curved Spacetime. In: Elements of General Relativity. Compact Textbooks in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-28416-9_2

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