Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hypertime Formalism for Spherically Symmetric Black Holes and Wormholes   Recent work on an approach to the geometrodynamics of cylindrical gravity
waves in the presence of interacting scalar matter fields, based on the
Kucha\v{r} hypertime formalism, is extended to the analogous spherically
symmetric system. This produces a geometrodynamical formalism for spherical
black holes and wormholes in which the metric variables are divided into two
classes, dynamical and redundant. The redundant variables measure the embedding
of a spacelike hypersurface into the spacetime, and proper time in the
asymptotically flat regions. All the constraints can be explicitly solved for
the momenta conjugate to the embedding variables. The dynamical variables,
including an extra ADM mass for wormhole topologies, can then be considered as
functionals of the redundant ones, including the proper time variable. The
solution of the resulting constraint system determines the momentum conjugate
to the proper time as a function of the other variables, producing Unruh's
Hamiltonian formalism for the spherical black hole, whilst extending it to an
arbitrary foliation choice. The resulting formalism is appropriate as a
starting point for the construction of a hypertime functional Schr\"odinger
equation for quantized spherically symmetric black holes and wormholes.

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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
2
The categories of this paper are: math
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
0
The categories of this paper are: hep-ph
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The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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The categories of this paper are: physics
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The categories of this paper are: cs
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The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
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The categories of this paper are: stat
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The categories of this paper are: supr-con