Ksh. Newton Singh

A new solution of embedding class I representing anisotropic fluid sphere in general relativity

In the present paper we are willing to model anisotropic star by choosing a new grr metric potential. All the physical parameters like the matter density, radial and transverse pressure and are regular inside the anisotropic star, with the speed of sound less than the speed of light. So the new solution obtained by us gives satisfactory description of realistic astrophysical compact stars. The model of the present paper is compatible with observational data of compact objects like RX J1856-37, Her X-1, Vela X-12 and Cen X-3. A particular model of Her X-1 (Mass 0.98 times solar mass and radius=6.7 km.) is studied in detail and found that it satisfies all the condition needed for physically acceptable model. Our model is described analytically as well as with the help of graphical representation.

A family of well-behaved Karmarkar spacetimes describing interior of relativistic stars

We present a family of new exact solutions for relativistic anisotropic stellar objects by considering a four-dimensional spacetime embedded in a five-dimensional pseudo Euclidean space, known as Class I solutions. These solutions are well behaved in all respects, satisfy all energy conditions, and the resulting compactness parameter is also within Buchdahl limit. The well-behaved nature of the solutions for a particular star solely depends on the index n. We have discussed the solutions in detail for the neutron star XTE J1739-285 (

A charged anisotropic well-behaved Adler–Finch–Skea solution satisfying Karmarkar condition

M=1.51M_\odot , ~R=10.9

Conformally non-flat spacetime representing dense compact objects

M=1.51M⊙,R=10.9 km). For this particular star, the solution is well behaved in all respects for

A new analytic solution representing anisotropic stellar objects in embedding class I

8 \le n \le 20

Physical viability of fluid spheres satisfying the Karmarkar condition

8≤n≤20. However, the solutions with