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• W4200262024 abstract "Abstract This paper addresses a new gravitationally decoupled anisotropic solution for the compact star model via the minimal geometric deformation (MGD) approach. We consider a non-singular well-behaved gravitational potential corresponding to the radial component of the seed spacetime and embedding Class I condition that determines the temporal metric function to solve the seed system completely. However, two different well-known mimic approaches such as <?CDATA ${p}_{r}={{rm{Theta }}}_{1}^{1}$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:msub> <mml:mrow> <mml:mi>p</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>r</mml:mi> </mml:mrow> </mml:msub> <mml:mo>=</mml:mo> <mml:msubsup> <mml:mrow> <mml:mi mathvariant=normal>Θ</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>1</mml:mn> </mml:mrow> <mml:mrow> <mml:mn>1</mml:mn> </mml:mrow> </mml:msubsup> </mml:math> and <?CDATA $rho ={{rm{Theta }}}_{0}^{0}$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:mi>ρ</mml:mi> <mml:mo>=</mml:mo> <mml:msubsup> <mml:mrow> <mml:mi mathvariant=normal>Θ</mml:mi> </mml:mrow> <mml:mrow> <mml:mn>0</mml:mn> </mml:mrow> <mml:mrow> <mml:mn>0</mml:mn> </mml:mrow> </mml:msubsup> </mml:math> have been employed to determine the deformation function which gives the solution of the second system corresponding to the extra source. In order to test the physical viability of the solution, we have checked several conditions such as regularity conditions, energy conditions, causality conditions, hydrostatic equilibrium, etc. Moreover, the stability of the solutions has been also discussed by the adiabatic index and its critical value. We find that the solutions set seems viable as far as observational data are concerned." @default.
• W4200262024 created "2021-12-31" @default.
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• W4200262024 date "2021-12-01" @default.
• W4200262024 modified "2023-10-16" @default.
• W4200262024 title "Self-gravitating anisotropic star using gravitational decoupling" @default.
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• W4200262024 doi "https://doi.org/10.1088/1402-4896/ac41ee" @default.
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