Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Counterrotating Dust Disk Around a Schwarzschild Black Hole: New Fully
  Integrated Explicit Exact Solution   The first fully integrated explicit exact solution of the Einstein field
equations corresponding to the superposition of a counterrotating dust disk
with a central black hole is presented. The obtained solution represents an
infinite annular thin disk (a disk with an inner edge) around the Schwarszchild
black hole. The mass of the disk is finite and the energy-momentum tensor
agrees with all the energy conditions. Furthermore, the total mass of the disk
when the black hole is present is less than the total mass of the disk alone.
The solution can also be interpreted as describing a thin disk made of two
counterrotanting dust fluids that are also in agreement with all the energy
conditions. Additionally, as we will show shortly in a subsequent paper, the
above solution is the first one of an infinite family of solutions.

35
The categories of this paper are: mtrl-th
2
The categories of this paper are: math
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin