  Here we look at an application of the Hartle metric to describe a rotating
version of the spherical string cloud/ global monopole solution. While rotating
versions of this solution have previously been constructed via the Newman-Janis
algorithm, that process does not preserve the equation of state. The Hartle
method allows for preservation of equation of state, at least in the sense of a
slowly rotating perturbative solution. In addition to the direct utility of
generating equations which could be used to model a region of a rotating string
cloud or similar system, this work shows that it is possible to adapt the
Hartle metric to slowly rotating anisotropic systems with Segre type
[(11)(1,1)] following an equation of state between the distinct eigenvalues.

General Relativity and Quantum Cosmology