Showing papers by "Neeraj Pant published in 2018"

Stellar modelling of PSR J1614-2230 using the Karmarkar condition

Abstract: The main objective of the paper is to provide a new family of solutions of embedding class one describing the interior of a spherically symmetric anisotropic stellar configuration. For $n= 6, 8, 10$ and 12, all the physical parameters are well-behaved within the stellar interior and our model satisfies all the required conditions to be physically viable. Due to the well-behaved nature of the solution of the above n values, we develop the model of PSR J1614-2230 (Nature 467, 1081 (2010)) and discuss the behavior of the class of solutions extensively. By analyzing the adiabatic index ($\Gamma$) we observe that for lower values of n, i.e., $n=6$, the star is soft and as we increase the value of n the star becomes stiff.

Embedded class solutions compatible for physical compact stars in general relativity

Abstract: We have explored a family of new solutions satisfying Einstein’s field equations and Karmarkar condition. We have assumed an anisotropic stress-tensor with no net electric charge. Interestingly, the new solutions yield zero values of all the physical quantities for all even integer $n > 0$ . However, for all $n >0$ ( $n eq $ even numbers) they yield physically possible solutions. We have tuned the solution for neutron star 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. The solutions yield a stiffer equation of state for larger values of n since the adiabatic index increases and speed of sound approaches the speed of light. It is also found that the solution is physically possible for Vela X-1 if $1.8 \leq n < 7$ (with $n eq 2,4,6$ ). All the solutions for $n \geq 7$ violates the causality condition and all the solutions with $0 < n < 1.8$ lead to complex values of transverse sound speed $ v_{t}$ . The range of well-behaved n depends on the mass and radius of compact stars.

Relativistic fluid spheres with Karmarkar condition

Abstract: We present a family of relativistic fluid spheres using the Karmarkar criterion along with the Pandey–Sharma condition. Ranges of n and m for well-behaved solutions depend on the mass and radius of...