Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the existence of certain axisymmetric interior metrics   One of the effects of noncommutative coordinate operators is that the
delta-function connected to the quantum mechanical amplitude between states
sharp to the position operator gets smeared by a Gaussian distribution.
Although this is not the full account of effects of noncommutativity, this
effect is in particular important, as it removes the point singularities of
Schwarzschild and Reissner-Nordstr\"{o}m solutions. In this context, it seems
to be of some importance to probe also into ring-like singularities which
appear in the Kerr case. In particular, starting with an anisotropic
energy-momentum tensor and a general axisymmetric ansatz of the metric together
with an arbitrary mass distribution (e.g. Gaussian) we derive the full set of
Einstein equations that the Noncommutative Geometry inspired Kerr solution
should satisfy. Using these equations we prove two theorems regarding the
existence of certain Kerr metrics inspired by Noncommutative Geometry.

11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas