Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Black hole initial data by numerical integration of the
  parabolic-hyperbolic form of the constraints   The parabolic-hyperbolic form of the constraints is integrated numerically.
The applied numerical stencil is $4^{th}$ order accurate (in the spatial
directions) while 'time'-integration is made by using the method of lines with
a $4^{th}$ order accurate Runge-Kutta scheme. The proper implementation of the
applied numerical method is verified by convergence tests and monitoring the
relative and absolute errors determined by comparing numerical and analytically
known solutions of the constraints involving boosted and spinning vacuum single
black hole configurations. The main part of our investigations is, however,
centered on construction of initial data for distorted black holes which, in
certain cases, have non-negligible gravitational wave content. Remarkably the
applied new method is unprecedented in that it allows to construct initial data
for highly boosted and spinning black holes, essentially for the full physical
allowed ranges of these parameters. In addition, the use of the evolutionary
form of the constraints is free from applying any sort of boundary conditions
in the strong field regime.

7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom