Complex null geodesics in the extended Schwarzschild universe

The generic null geodesic of the Schwarzschild–Kruskal–Szekeres geometry has a natural complexification, an elliptic curve with a cusp at the singularity

Jonathan Holland

2018

Scholarcy highlights

  • The generic null geodesic of the Schwarzschild–Kruskal–Szekeres geometry has a natural complexification, an elliptic curve with a cusp at the singularity
  • The resulting space-time obtained from this branch cover has a Hamiltonian that is null geodesically complete
  • The full complex null geodesic can be realized in a natural complexification of the Kruskal–Szekeres metric

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