Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conditional Symmetries and the Quantization of Bianchi Type I Vacuum
  Cosmologies with and without Cosmological Constant   In this work, the quantization of the most general Bianchi Type I geometry,
with and without a cosmological constant, is considered. In the spirit of
identifying and subsequently removing as many gauge degrees of freedom as
possible, a reduction of the initial 6--dimensional configuration space is
presented. This reduction is achieved by imposing as additional conditions on
the wave function, the quantum version of the --linear in momenta-- classical
integrals of motion (conditional symmetries). The vector fields inferred from
these integrals induce, through their integral curves, motions in the
configuration space which can be identified to the action of the automorphism
group of Type I, i.e. $GL(3,\Re)$. Thus, a wave function depending on one
degree of freedom, namely the determinant of the scale factor matrix, is found.
A measure for constructing the Hilbert space is proposed. This measure respects
the above mentioned symmetries, and is also invariant under the classical
property of covariance under arbitrary scalings of the Hamiltonian (quadratic
constraint).

31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
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The categories of this paper are: eess
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
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The categories of this paper are: supr-con