Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Initial Value Problem in Light of Ashtekar's Variables   The form of the initial value constraints in Ashtekar's hamiltonian
formulation of general relativity is recalled, and the problem of solving them
is compared with that in the traditional metric variables. It is shown how the
general solution of the four diffeomorphism constraints can be obtained
algebraically provided the curvature is non-degenerate, and the form of the
remaining (Gauss law) constraints is discussed. The method is extended to cover
the case when matter is included, using an approach due to Thiemann. The
application of the method to vacuum Bianchi models is given. The paper
concludes with a brief discussion of alternative approaches to the initial
value problem in the Ashtekar formulation.

7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas