Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological interpretation of the horizon temperature   A class of metrics $g_{ab}(x^i)$ describing spacetimes with horizons (and
associated thermodynamics) can be thought of as a limiting case of a family of
metrics $g_{ab}(x^i;\lambda)$ {\it without horizons} when $\lambda\to 0$. I
construct specific examples in which the curvature corresponding
$g_{ab}(x^i;\lambda)$ becomes a Dirac delta function and gets concentrated on
the horizon when the limit $\lambda\to 0$ is taken, but the action remains
finite. When the horizon is interpreted in this manner, one needs to remove the
corresponding surface from the Euclidean sector, leading to winding numbers and
thermal behaviour. In particular, the Rindler spacetime can be thought of as
the limiting case of (horizon-free) metrics of the form
[$g_{00}=\epsilon^2+a^2x^2; g_{\mu\nu}=-\delta_{\mu\nu}$] or [$g_{00} = -
g^{xx} = (\epsilon^2 +4 a^2 x^2)^{1/2}, g_{yy}=g_{zz}=-1]$ when $\epsilon\to
0$. In the Euclidean sector, the curvature gets concentrated on the origin of
$t_E-x$ plane in a manner analogous to Aharanov-Bohm effect (in which the the
vector potential is a pure gauge everywhere except at the origin) and the
curvature at the origin leads to nontrivial topological features and winding
number.

24
The categories of this paper are: dg-ga
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
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an