Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global nonlinear stability of Minkowski space for
  spacelike-characteristic initial data   In this paper, we prove the global nonlinear stability of Minkowski space in
the context of the spacelike-characteristic Cauchy problem for Einstein vacuum
equations. Spacelike-characteristic initial data are posed on a compact 3-disk
and on the future complete null hypersurface emanating from its boundary. Our
result extends the seminal stability result for Minkowski space proved by
Christodoulou and Klainerman for which initial data are prescribed on a
spacelike 3-plane.
  The proof relies on the classical vectorfield method and bootstrapping
argument from Christodoulou-Klainerman. The main novelty is the introduction
and control of new geometric constructions adapted to the
spacelike-characteristic setting. In particular, it features null cones with
prescribed vertices, spacelike maximal hypersurfaces with prescribed boundaries
and global harmonic coordinates on Riemannian 3-disks.

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The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph