In this article a class of anisotropic compact star is analysed in Heintzmann
geometry. We have introduced the pressure anisotropy parameter (Ξ±) and
solved Einstein field equations to obtain stellar model. We have considered
gttβ component as proposed by Heintzmann and by solving Einstein field
equation, the grrβ component is evaluated in presence of pressure
anisotropy. It is noted that for isotropic star (Ξ±=0), the maximum mass
lies within the range 1.87β3.04Β Mββ for radii ranges between 8β13
Km. For anisotropic compact stars maximum mass increases with Ξ± and lies
within the range 1.99β3.23Β Mββ for anisotropy parameter Ξ±=0.5.
The physical viability of the model is examined by applying our model to study
the properties of few known compact objects. It is noted that all the stability
conditions are fulfilled in the proposed model. It is interesting to note that
maximum mass calculated from our model and from solving TOV equation are
approximately same and also the predicted radius of few newly observed pulsars
and companion star of GW events GW 190814 and GW 170817 from our model comply
with the estimated value of radius from observation.Comment: 27 pages, 21 figure