Gravastars in (3+1) dimensions admitting Karmarkar condition

The development of gravastar model by Mazur and Mottola (2004) 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–Ei...

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Bibliographic Details
Published in:Annals of physics 2019-12, Vol.411, p.167968, Article 167968
Main Authors: Ghosh, Shounak, Biswas, Suparna, Rahaman, Farook, Guha, B.K., Ray, Saibal
Format: Article
Language:English
Subjects:
APPROXIMATIONS
ASTROPHYSICS, COSMOLOGY AND ASTRONOMY
BLACK HOLES
BOSE-EINSTEIN CONDENSATION
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Embedding class 1
EXACT SOLUTIONS
General relativity
GENERAL RELATIVITY THEORY
Gravastar
Karmarkar condition
PHASE TRANSFORMATIONS
RED SHIFT
SINGULARITY
TEMPERATURE RANGE 0065-0273 K
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Summary:The development of gravastar model by Mazur and Mottola (2004) 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. •Model of Gravastar in (3+1) dimensions is studied under GR.•Karmarkar condition of Embedding class 1 has been incorporated.•The class 1 condition provides an exact solution of three regions of gravastar.•Surface redshift confirms the stability of the model which is non-singular.
ISSN:0003-4916
1096-035X
DOI:10.1016/j.aop.2019.167968