The $C^0$-inextendibility of the Schwarzschild spacetime and the spacelike diameter in Lorentzian geometry
The maximal analytic Schwarzschild spacetime is manifestly inextendible as a Lorentzian manifold with a twice continuously differentiable metric. In this paper, we prove the stronger statement that it is even inextendible as a Lorentzian manifold with a continuous metric. To capture the obstruction...
Main Author: | |
---|---|
Format: | Journal article |
Published: |
International Press
2018
|