Extended gravitationally decoupled Finch-Skea anisotropic model using embedding class I spacetime. (English) Zbl 1543.83034
Summary: In this study, we obtained a completely deformed Finch-Skea anisotropic solution using embedding Class I spacetime. The solution so obtained has been utilized to depict the model for compact objects such as neutron stars and white dwarfs. In order to find a completely deformed anisotropic solution, we apply gravitational decoupling via a complete geometric deformation approach which leads to two systems of equations. The first system is solved by using the Karmarkar condition together with a Finch-Skea ansatz while the density mimic approach together with EoS has been applied to obtain the solution for the second system. The interior anisotropic solution is smoothly matched with the exterior Schwarzschild solution. The physical viability of the solution has been tested via several physical aspects such as pressure, density, anisotropy, and energy conditions. The stability and equilibrium conditions are also analyzed for the solution. Furthermore, it is observed that the anisotropy enhances in the presence of gravitational decoupling, which may help in preventing the gravitational collapse of the star due to the repulsive anisotropic force.
MSC:
| 83C55 | Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) |
| 83C20 | Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory |
Keywords:
Finch-Skea ansatz; compact stars; embedding class I; neutron star; white dwarf; Karmarkar conditionReferences:
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