Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 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 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 metric and give a sufficient
condition for the spacelike diameter to be finite. The investigation of
low-regularity inextendibility criteria is motivated by the strong cosmic
censorship conjecture.

28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio