A generalised embedding class one static solution describing anisotropic fluid sphere
In the present article, the Eiesland condition has been used to obtain a new solution for
compact star model by considering a non-singular well behaved gravitational potential of the
form e λ (r)= 1+ ar 2 1+ tanh (br 2+ c) ne^λ(r)=1+ar^21+\tanh(br^2+c)^n in the framework of
anisotropic matter distribution. The solution so obtained is physically acceptable, which is
exploited to compare the predicted masses and radii of known compact object as EXO 1785-
248 (M= 1.3 M⊙ M=1.3M_⊙) for n= 3 n=3 to 15. Moreover, the obtained solution satisfies …
compact star model by considering a non-singular well behaved gravitational potential of the
form e λ (r)= 1+ ar 2 1+ tanh (br 2+ c) ne^λ(r)=1+ar^21+\tanh(br^2+c)^n in the framework of
anisotropic matter distribution. The solution so obtained is physically acceptable, which is
exploited to compare the predicted masses and radii of known compact object as EXO 1785-
248 (M= 1.3 M⊙ M=1.3M_⊙) for n= 3 n=3 to 15. Moreover, the obtained solution satisfies …
Abstract
In the present article, the Eiesland condition has been used to obtain a new solution for compact star model by considering a non-singular well behaved gravitational potential of the form in the framework of anisotropic matter distribution. The solution so obtained is physically acceptable, which is exploited to compare the predicted masses and radii of known compact object as EXO 1785-248 () for to 15. Moreover, the obtained solution satisfies the causality condition, Herrera cracking criterion, Tolman-Oppenheimer-Volkoff (TOV) equation, and adiabatic index including all energy conditions. It is noted that the velocity of sound is increasing at and start decreasing when which shows that the parameter plays an important role to describe a well-behaved solution for anisotropic compact object. The moment of inertia is also obtained by Bejger-Haensel formula for to 15. In addition to that, the maximum mass for the compact star has been discovered via. curve for different values of .
Springer
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