Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local existence of dynamical and trapping horizons   Given a spacelike foliation of a spacetime and a marginally outer trapped
surface S on some initial leaf, we prove that under a suitable stability
condition S is contained in a ``horizon'', i.e. a smooth 3-surface foliated by
marginally outer trapped slices which lie in the leaves of the given foliation.
We also show that under rather weak energy conditions this horizon must be
either achronal or spacelike everywhere. Furthermore, we discuss the relation
between ``bounding'' and ``stability'' properties of marginally outer trapped
surfaces.

34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th