Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universality of isothermal fluid spheres in Lovelock gravity   We show universality of isothermal fluid spheres in pure Lovelock gravity
where the equation of motion has only one $N$th order term coming from the
corresponding Lovelock polynomial action of degree $N$. Isothermality is
characterized by the equation of state, $p = \alpha \rho$ and the property,
$\rho \sim 1/r^{2N}$. Then the solution describing isothermal spheres, which
exist only for the pure Lovelock equation, is of the same form for the general
Lovelock degree $N$ in all dimenions $d \geq 2N+2$. We further prove that the
necessary and sufficient condition for the isothermal sphere is that its metric
is conformal to the massless global monopole or the solid angle deficit metric,
and this feature is also universal.

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The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat