Strange stars with MIT bag model in the Rastall theory of gravity

Abstract

The aim of this paper is to study the charged anisotropic strange stars in the Rastall framework. Basic formulation of field equations in this framework is presented in the presence of charged anisotropic source. To obtain the solutions of the Rastall field equations in spherically symmetric Karori and Barua (KB) type space-time, we have considered a linear equation of state of strange matter, using the MIT bag model. The constraints on the Rastall dimensionless parameter [Formula: see text] are also discussed to obtain the physically reasonable solution. We explore some physical features of the presented model like energy conditions, stability and hydrostatic equilibrium, which are necessary to check the physical viability of the model. We also sought for the influence of the Rastall dimensionless parameter on the behavior of the physical features of obtained solution. We plot the graphs of matter variables for different chosen values of the parameter [Formula: see text] to inspect more details of analytical investigations and predict the numerical values of these variables exhibited in the tabular form. For this analysis, we choose four different arbitrary models of strange stars with compactness [Formula: see text] 0.25, 0.30, 0.35 and 0.40. We observed that all the necessary physical conditions are satisfied and the presented model is quite reasonable to study the strange stars.

Study on Anisotropic Strange Stars in f ( T , T ) Gravity

“…Again, substituting Equations (38), (45) and (46) into Equations (33), (34) and 35, we get the following physical parameters:…”

“…With the help of Equations (31), (39), (42), (45), (46) and 50, we have two unknown functions of r of the given metric (25) as…”

“…Strange stars in f (T) gravity with an MIT bag model have been studied in [38]. Compact stars, in the form of a neutron stars as well as quark stars, in the Rastall theory of gravity, have been studied by several researches [39][40][41][42][43][44], whereas strange stars with the MIT bag model in the Rastall gravity have been studied in Reference [45]. Charged anisotropic collapsing stars with heat flux in f (R) gravity has been investigated by Nazar and Abbas [46].…”

Study on Anisotropic Strange Stars in <em>f</em>(T,<em>T</em>) Gravity

“…where M is the total mass of the stellar system. Now, substituting Equation (41) into Equation (30) we find…”

“…Compact stars, in the form of neutron star as well as quark star, in Rastall theory of gravity model have been studied by several researches [35][36][37][38][39][40] whereas strange stars with MIT bag model in the Rastall gravity have been studied in Ref. [41]. Charged anisotropic collapsing stars with heat flux in f (R) gravity has been investigated by Nazar and Abbas [42].…”