Core-envelope anisotropic star model admitting Karmarkar condition

We generate a neutral core-envelope stellar model with anisotropic fluid distribution which admits Karmarkar condition. The core and envelope layers are assumed to compose quark matter and neutron fluid consistent with linear and quadratic equations of state, respectively. The results obtained indicate that the present model conforms with physical and stability tests. In the present model we have generated radii and masses of astrophysical objects consistent with observations such as HerX-1, 4U 1538-52 and SAX J1808.4-3658. It is interesting to note that the study of multilayered stars in Karmarkar condition is missing in the stellar models generated in the past.

Automated summary

In this study, a core-envelope stellar model with anisotropic fluid distribution satisfying the Karmarkar condition is generated. The validity of the model is confirmed through physical and stability tests, and the radii and masses of astrophysical objects consistent with observations are obtained.