Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Boundary conditions for Black Holes using the Ashtekar Isolated and
  Dynamical Horizons formalism   Isolated and Dynamical horizons are used to generate boundary conditions upon
the lapse and shift vectors. Numerous results involving the Hamiltonian of
General relativity are derived, including a self-contained derivation of the
Hamiltonian equations of general relativity using both a direct 'brute force'
method of directly computing Lie derivatives, as well as the standard Hamil-
tonian approach. Conclusions are compared to numerous examples, including the
Kerr, Schwarzschild-De Sitter, McVittie, and Vaiyda spacetimes.

14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an