Rotating anisotropic stringy spheroid in a modified Hartle formalism

TL;DR

This paper adapts the Hartle formalism to model slowly rotating anisotropic stringy spheroids, preserving the equation of state, and extends its application to systems with specific eigenvalue structures, unlike previous methods.

Contribution

It introduces a modified Hartle approach for rotating anisotropic systems that maintains the equation of state, expanding the modeling capabilities for string clouds and similar objects.

Findings

Successfully applied Hartle formalism to anisotropic stringy spheroids.

Preserved the equation of state in a rotating perturbative solution.

Extended the formalism to systems with Segre type [(11)(1,1)] eigenvalues.

Abstract

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.