Modeling usual and unusual anisotropic spheres

Details Modeling usual and unusual anisotropic spheres Modeling usual and unusual anisotropic spheres

2008-10-13

arxiv.org/abs/0810.2209v2

Int.J.Mod.Phys.D18:275-288,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Final version published in IJMPD

Scientific paper

10.1142/S021827180901442X

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.

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