Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Turning Point Instabilities for Relativistic Stars and Black Holes   In the light of recent results relating dynamic and thermodynamic stability
of relativistic stars and black holes, we re-examine the relationship between
"turning points"---i.e., extrema of thermodynamic variables along a
one-parameter family of solutions---and instabilities. We give a proof of
Sorkin's general result---showing the existence of a thermodynamic instability
on one side of a turning point---that does not rely on heuristic arguments
involving infinite dimensional manifold structure. We use the turning point
results to prove the existence of a dynamic instability of black rings in 5
spacetime dimensions in the region where $c_J > 0$, in agreement with a result
of Figueras, Murata, and Reall.

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The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ