Kruskal–Szekeres Coordinates and Geodesics of the Schwarzschild Black Hole

  • Dieter LüstEmail author
  • Ward Vleeshouwers
Part of the SpringerBriefs in Physics book series (SpringerBriefs in Physics)


Last lecture, we saw that the Schwarzschild solution is characterized by a curvature singularity at \(r=0\) and a metric singularity at \(r=\frac{2GM}{c^2}\), where we re-introduced the gravitational constant G and speed of light c. The space-time has an exterior and an interior region characterized by \(r>2M\) and \(r<2M\) and denoted by I and II, respectively. Today we will consider a new coordinate system which will allow us to double the space-time and find copies of regions I and II.

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© The Author(s), under exclusive license to Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Arnold-Sommerfeld-CenterLudwig-Maximilians-UniversitaetMunichGermany
  2. 2.Institute for Theoretical PhysicsUtrecht UniversityUtrechtThe Netherlands

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