TY - JOUR

T1 - Study on anisotropic stars in the framework of Rastall gravity

AU - Bhar, Piyali

AU - Tello-Ortiz, Francisco

AU - RINCON RIVERO, ANGEL

AU - Gomez-Leyton, Y.

N1 - Publisher Copyright:
© 2020, Springer Nature B.V.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020/8/1

Y1 - 2020/8/1

N2 - We investigate the existence of high dense compact objects in the light of Rastall gravity theory. The material content is driven by an imperfect fluid distribution and the inner geometry is described by the Tolman–Kuchowicz space–time. The validity of the obtained model is checked by studying the main salient features such as energy–density, radial and tangential pressures and anisotropy factor. Since Einstein gravity theory shares the same vacuum solution with Rastall gravity theory, the interior geometry is joining in a smoothly way with the exterior Schwarzschild’s solution. The equilibrium of the model under different gradients is analyzed by using the modified hydrostatic equilibrium equation, containing the so–called Rastall gradient. The compact structure has a positive anisotropy factor which enhances the balance and stability mechanisms. To check the potentially stable behavior, we employ Abreu’s and adiabatic index criterion. It was found that the model is completely stable. The incidence of the Rastall’s parameter γ on all the physical quantities that characterize the model is described by the help of graphical analysis. Concerning the γ spectrum we have considered 0.3142 ≤ γ≤ 0.3157. All the results are compared with the general relativity case.

AB - We investigate the existence of high dense compact objects in the light of Rastall gravity theory. The material content is driven by an imperfect fluid distribution and the inner geometry is described by the Tolman–Kuchowicz space–time. The validity of the obtained model is checked by studying the main salient features such as energy–density, radial and tangential pressures and anisotropy factor. Since Einstein gravity theory shares the same vacuum solution with Rastall gravity theory, the interior geometry is joining in a smoothly way with the exterior Schwarzschild’s solution. The equilibrium of the model under different gradients is analyzed by using the modified hydrostatic equilibrium equation, containing the so–called Rastall gradient. The compact structure has a positive anisotropy factor which enhances the balance and stability mechanisms. To check the potentially stable behavior, we employ Abreu’s and adiabatic index criterion. It was found that the model is completely stable. The incidence of the Rastall’s parameter γ on all the physical quantities that characterize the model is described by the help of graphical analysis. Concerning the γ spectrum we have considered 0.3142 ≤ γ≤ 0.3157. All the results are compared with the general relativity case.

KW - Anisotropy

KW - Compact stars

KW - Equation of state

KW - Exact solution

KW - General relativity

UR - http://www.scopus.com/inward/record.url?scp=85089937141&partnerID=8YFLogxK

U2 - 10.1007/s10509-020-03859-6

DO - 10.1007/s10509-020-03859-6

M3 - Article

AN - SCOPUS:85089937141

SN - 0004-640X

VL - 365

JO - Astrophysics and Space Science

JF - Astrophysics and Space Science

IS - 8

M1 - 145

ER -