Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effect of the Refractive Index on the Hawking Temperature: An
  Application of the Hamilton-Jacobi Method   Hawking radiation of a non-asymptotically flat (NAF) 4-dimensional
spherically symmetric and static dilatonic black hole (BH) via the
Hamilton-Jacobi (HJ) method has been studied. In addition to the naive
coordinates, we have used four more different coordinate systems which are
well-behaved at the horizon. Except the isotropic coordinates, direct
computation of the HJ method leads us the standard Hawking temperature for all
coordinate systems. The isotropic coordinates render possible to get the index
of refraction extracting from the Fermat metric. It is explicitly shown that
the index of refraction determines the value of the tunneling rate and its
natural consequence, Hawking temperature. The isotropic coordinates within the
conventional HJ method produce wrong result for the temperature of the
dilatonic BH. Here, we explain how this discrepancy can be resolved by
regularizing the integral possessing a pole at the horizon.

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The categories of this paper are: hep-th
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The categories of this paper are: eess
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The categories of this paper are: cs
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
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The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
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The categories of this paper are: physics
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The categories of this paper are: stat