Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local vs. global temperature under a positive curvature condition   For a massless free scalar field in a globally hyperbolic space-time we
compare the global temperature T, defined for the KMS states $\omega^T$, with
the local temperature $T_{\omega}(x)$ introduced by Buchholz and Schlemmer. We
prove the following claims: (1) Whenever $T_{\omega^T}(x)$ is defined, it is a
continuous, monotonically increasing function of T at every point x. (2)
$T_{\omega}(x)$ is defined when the space-time is ultra-static with compact
Cauchy surface and non-trivial scalar curvature $R\ge 0$, $\omega$ is
stationary and a few other assumptions are satisfied. Our proof of (2) relies
on the positive mass theorem. We discuss the necessity of its assumptions,
providing counter-examples in an ultra-static space-time with non-compact
Cauchy surface and R<0 somewhere. We interpret the result in terms of a
violation of the weak energy condition in the background space-time.

25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph