Physically Acceptable Embedded Class-I Compact Stars in Modified Gravity with Karmarkar Condition

The present study is devoted to explore the existence of a new family of compact star solutions by adopting the Karmarkar as well as Pandey-Sharma condition in the background of f (R,T) modified gravitational framework. For this purpose, we consider static spherically symmetric spacetime with anisotropic fluid distribution in absence of electric charge. In respect of Karmarkar condition, we assume a specific model of g(rr) metric potential representing a new family of solutions which is also compatible with the Pandey-Sharma condition. This assumed model permits us to calculate the g(tt) component of metric tensor by making the use of Karmarkar condition. Further, we investigate the interior solutions for Vela X-1 model of compact star by utilizing this new family of solutions for different values of parameter lambda. We have tuned the solution for Vela X-1 so that the solutions matches the observed mass and radius. For the same star we have extensively discussed the behavior of the solutions. It is found that these solutions fulfill all the necessary conditions under the observational radii and mass attribute data for small values of parameter lambda and hence physically well-behaved and promising. Through graphical analysis, it is observed that our obtained analytical solutions are physically acceptable with a best degree of accuracy for n is an element of[1.8,7)-{2,4,6}, where parameter n is involved in the discussed model. It is also noticed the causality condition is violated for all n >= 7and the tangential sound velocity v(t) is observed as complex valued for all 0<1.8. Likewise, we explore these properties by considering large parameter lambda values. It is seen that the presented model violates all the physical conditions for n is an element of{2,4,6}, while some of these for large values of lambda. Consequently, it can be concluded that the parameters n and lambda have a strong impact on the obtained solutions.