Journal article

### The $C^0$-inextendibility of the Schwarzschild spacetime and the spacelike diameter in Lorentzian geometry

Abstract:

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 to continuous extensions through the curvature singularity, we introduce the notion of the spacelike diameter of a globally hyperbolic region of a Lorentzian manifold with a merely continuous metri...

Publication status:
Published
Peer review status:
Peer reviewed

### Access Document

Files:
• (Accepted manuscript, pdf, 582.8KB)
Publisher copy:
10.4310/jdg/1518490820

### Authors

More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
Magdalen College
Role:
Author
Publisher:
International Press Publisher's website
Journal:
Journal of Differential Geometry Journal website
Volume:
108
Issue:
2
Pages:
319-378
Publication date:
2018-02-13
Acceptance date:
2016-05-31
DOI:
EISSN:
1945-743X
ISSN:
0022-040X
Source identifiers:
829015
Pubs id:
pubs:829015
UUID:
uuid:cb916380-8e0d-4aa3-aca1-3a62dca561f9
Local pid:
pubs:829015
Deposit date:
2018-04-05