Generalised model for anisotropic compact stars

Abstract

In the present investigation an exact generalised model for anisotropic compact stars of embedding class 1 is sought with a general relativistic background. The generic solutions are verified by exploring different physical aspects, viz. energy conditions, mass-radius relation, stability of the models, in connection to their validity. It is observed that the model presented here for compact stars is compatible with all these physical tests and thus physically acceptable as far as the compact star candidates R X J 1856-37, S AX J 1808.4-3658 (SS1) and S AX J 1808.4-3658 (SS2) are concerned.

Analytical study of anisotropic compact star models

“…We have shown that this is not the case and reduced them to the couple of inequalities in Eq. (26). Only Eq.…”

Anisotropic fluid spheres of embedding class one using Karmarkar condition

“…This method has proved to be a fruitful mechanism to find new relativistic astrophysical models in recent investigations. Bhar et al [14][15][16], Maurya et al [17][18][19][20] and Newton Singh et al [21][22][23] have generated different families of physically acceptable Karmarkar spacetimes that describe the interior regions of acceptable stars. In these analyses a particular form of one of the potentials is made, which solves the Karmarkar condition, giving the second potential, eventually leading to an astrophysical model.…”

Influence of $$f\,(R)$$ f ( R ) models on the existence of anisotropic self-gravitating systems

“…The investigation of ECs in modified theories has been carried out regarding a variety of cosmological issues like, f (R) gravity [75], f (R, L m ) gravity [76], f (R, T ) gravity [77], f (R, G) gravity [78], and f (G) gravity [79,80]. The stability of compact objects and their ECs have been analyzed in detail by various researchers [81][82][83][84].…”