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Appendix

  • Ermis MitsouEmail author
  • Jaiyul Yoo
Chapter
  • 17 Downloads
Part of the SpringerBriefs in Physics book series (SpringerBriefs in Physics)

Abstract

Consider an observer with 4-velocity \(\hat{u}\) performing measurements in an infinitesimal neighborhood \(\hat{\mathcal{I}}\) of her position \(\hat{P}\). She uses a local coordinate system \(x^{\mu }\) to parametrize \(\hat{\mathcal{I}}\) and therefore the basis \(\partial _{\mu }\) to decompose tensors at \(\hat{P}\). In particular, she parametrizes evolution with her proper time, meaning that the norm of the time-coordinate intervals \(\mathrm{d}t \equiv \mathrm{d}x^0\) is unity.

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© The Author(s), under exclusive license to Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Institute for Computational ScienceUniversity of ZurichZürichSwitzerland

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