Gravastars in \((3+1)\) dimensions admitting Karmarkar condition. (English) Zbl 1427.85002
Summary: The development of gravastar model by Mazur and Mottola is one of the most acceptable alternatives of conventional classical black hole. They have studied phase transition of the collapsing stellar objects at low temperature near event horizon which leads to the condensate phase, i.e. Bose-Einstein condensation. In the present study we have obtained a unique solution of this gravastar model under Einstein’s GR in \((3+1)\) dimensions by incorporating the Karmarkar condition for embedding class 1. The most important motive of this work is to find an exact solution of the shell without taking the thin shell approximation. We have obtained singularity free finite solutions for the interior of the gravastar.
MSC:
| 85A15 | Galactic and stellar structure |
| 83C15 | Exact solutions to problems in general relativity and gravitational theory |
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