Modeling usual and unusual anisotropic spheres

TL;DR

This paper develops a method to generate anisotropic spherical solutions from known static solutions, revealing potential links to boson stars and gravastar-like objects through parameter perturbations.

Contribution

It introduces a parametric approach to construct anisotropic spheres from classical solutions, exploring physical implications and connections to exotic compact objects.

Findings

Anisotropic solutions depend smoothly on free parameters.

Certain seed solutions can produce configurations resembling boson stars.

Constructed anisotropic models satisfy boundary conditions similar to gravastars.

Abstract

In this paper, we study anisotropic spheres built from known static spherical solutions. In particular, we are interested in the physical consequences of a "small" departure from a physically sensible configuration. The obtained solutions smoothly depend on free parameters. By setting these parameters to zero, the starting seed solution is regained. We apply our procedure in detail by taking as seed solutions the Florides metrics, and the Tolman IV solution. We show that the chosen Tolman IV, and also Heint IIa Durg IV,V perfect fluid solutions, can be used to generate a class of parametric solutions where the anisotropic factor has features recalling boson stars. This is an indication that boson stars could emerge by "perturbing" appropriately a perfect fluid solution (at least for the seed metrics considered). Finally, starting with Tolman IV, Heint IIa and Durg IV,V solutions, we build anisotropic gravastar-like sources with the appropriate boundary conditions.