Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conformal Scalar Propagation inside the Schwarzschild Black Hole   The analytic expression obtained in the preceding project for the massless
conformal scalar propagator in the Hartle-Hawking vacuum state for small values
of the Schwarzschild radial coordinate above $ r = 2M$ is analytically extended
into the interior of the Schwarzschild black hole. The result of the analytical
extension coincides with the exact propagator for a small range of values of
the Schwarzschild radial coordinate below $ r = 2M$ and is an analytic
expression which manifestly features its dependence on the background
space-time geometry. This feature as well as the absence of any assumptions and
prerequisites in the derivation render this Hartle-Hawking scalar propagator in
the interior of the Schwarzschild black-hole geometry distinct from previous
results. The two propagators obtained in the interior and in the exterior
region of the Schwarzschild black hole are matched across the event horizon.
The result of that match is a massless conformal scalar propagator in the
Hartle-Hawking vacuum state which is shown to describe particle production by
the Schwarzschild black hole.

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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
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The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: physics
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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: math
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The categories of this paper are: patt-sol