Anisotropic stellar models admitting conformal motion

Abstract

We address the problem of finding static and spherically symmetric anisotropic compact stars in general relativity that admit conformal motions. The study is framed in the language of f (R) gravity theory in order to expose opportunity for further study in the more general theory. Exact solutions of compact stars are found under the assumption that spherically symmetric spacetimes which admits conformal motion with matter distribution anisotropic in nature. In this work, two cases have been studied for the existence of such solutions: first, we consider the model given by f(R) = R and then f(R) = aR+b. Finally, specific characteristics and physical properties have been explored by analytically along with graphical representations for conformally symmetric compact stars in f(R) gravity.

Analytical study of anisotropic compact star models

“…One can add here a model with given λ [49], since the expressions for ρ, m and λ are simply related. There is a model with a linear equation of state (LEOS) between p r and ρ [50], and another one with LEOS between the pressures [51]. Reference [42] has been generalised to non-static and electrically charged solutions [52].…”

A conformally flat realistic anisotropic model for a compact star

“…One can add here models with given λ [51], [52], since the expressions for ρ, m and λ are simply related. There is a model with a linear equation of state (LEOS) between p r and ρ [53], with two fluids [54] and another one with LEOS between the pressures [55]. The work [42] has been generalized to non-static solutions [46], [47] and many new solutions were obtained.…”

Homotheties of a Class of Spherically Symmetric Space-Time Admitting G3 as Maximal Isometry Group

“…that satisfies (20), (22), and (23) with an additional constraint on ]( , ) given by (21), where ℎ = ℎ( ). The corresponding homothety vector (18) in this case reduces to…”

“…Manjonjo et al [19] studied the relationship between conformal symmetries and relativistic spheres in astrophysics and exploit the non-vanishing components of the Weyl tensor to classify the conformal symmetries in static spherical space-times. Banerjee et al [20] explored the possibility of finding the static and spherically symmetric anisotropic compact stars in general relativity that admit conformal motions in the framework of f (R) gravity theory.…”