Rotating anisotropic stringy spheroid in a modified Hartle formalism

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.

Replaced with refereed version, published at Phys. Rev. D 106, 104038 (2022)

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Cited by in corpus (2)

• Slowly rotating anisotropic relativistic stars
• Slowly rotating ultracompact Schwarzschild star in the gravastar limit