Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Criticality and Surface Tension in Rotating Horizon Thermodynamics   We study a modified horizon thermodynamics and the associated criticality for
rotating black hole spacetimes. Namely, we show that under a virtual
displacement of the black hole horizon accompanied by an independent variation
of the rotation parameter, the radial Einstein equation takes a form of a
"cohomogeneity two" horizon first law, $dE=TdS+\Omega dJ-\sigma dA$, where $E$
and $J$ are the horizon energy (an analogue of the Misner-Sharp mass) and the
horizon angular momentum, $\Omega$ is the horizon angular velocity, $A$ is the
horizon area, and $\sigma$ is the surface tension induced by the matter fields.
For fixed angular momentum, the above equation simplifies and the more familiar
(cohomogeneity one) horizon first law $dE=TdS-PdV$ is obtained, where $P$ is
the pressure of matter fields and $V$ is the horizon volume. A universal
equation of state is obtained in each case and the corresponding critical
behavior is studied.

15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin