Abstract

The aim of this paper is to analyze the nature of anisotropic spherically symmetric relativistic star models in the framework of f(R, T) gravity. To discuss the features of compact stars, we consider that in the interior of the stellar system, the fluid distribution is influenced by MIT bag model equation of state. We construct the field equations by employing Krori–Barua solutions and obtain the values of unknown constants with the help of observational data of Her X-1, SAX J 1808.4-3658, RXJ 1856-37 and 4U1820-30 star models. For a viable f(R, T) model, we study the behavior of energy density, transverse as well as radial pressure and anisotropic factor in the interior of these stars for a specific value of the bag constant. We check the physical viability of our proposed model and stability of stellar structure through energy conditions, causality condition and adiabatic index. It is concluded that our model satisfies the stability criteria as well as other physical requirements, and the value of bag constant is in well agreement with the experimental value which highlights the viability of our considered model.

Highlights

  • In astrophysics, the study of nature and exact constitution of compact objects motivates researchers to explore their internal features and different phases of their evolution

  • From the graphical analysis of effective mass, it is observed that the maximum mass point 2.5M corresponding to MIT bag model equation of state (EoS) is obtained which is in well agreement with the predicted mass of compact stars

  • The coupling effects of geometry and matter components in this theory yields the non-zero covariant derivative of energy-momentum tensor (EMT) which is a dominant property to discuss the attributes of gravity at quantum level and examines the influence of non-geodesic motion of test particles

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Summary

Introduction

The study of nature and exact constitution of compact objects motivates researchers to explore their internal features and different phases of their evolution. Deb et al [13] found singularity free solutions of Einstein field equations for strange quark stars by employing MIT bag model EoS and observed that anisotropy of compact stars increases with the radial coordinate. It attains its maximum value at the surface which seems an inherent property for the singularity free anisotropic compact stellar objects. We analyze the impact of MIT bag constant on anisotropic configuration of Her X-1, SAX J 1808.4-3658, RXJ 1856-37 and 4U1820-30 compact star candidates to observe the stable structure of stellar objects corresponding to R +σ R2 +γ T gravity model.

Matter distribution and field equations
Physical conditions
Evolution of matter variables
Physical attributes of compact stars
Effect of anisotropy
Analysis of stable structure
Concluding remarks
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