Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topology change in General Relativity and the black-hole black-string
  transition   In the presence of compact dimensions massive solutions of General Relativity
may take one of several forms including the black-hole and the black-string,
the simplest relevant background being R^{3+1} * S^1. It is shown how Morse
theory places constraints on the qualitative features of the phase diagram, and
a minimalistic diagram is suggested which describes a first order transition
whose only stable phases are the uniform string and the black-hole. The diagram
calls for a topology changing ``merger'' transition in which the black-hole
evolves continuously into an unstable black-string phase. As evidence a local
model for the transition is presented in which the cone over S^2 * S^2 plays a
central role. Horizon cusps do not appear as precursors to black hole merger. A
generalization to higher dimensions finds that whereas the cone has a tachyon
function for d=5, its stability depends interestingly on the dimension - it is
unstable for d<10, and stable for d>10.

19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
3
The categories of this paper are: physics