Possible Formation of Compact Stars in $f(R,T)$ Gravity

Abstract

This paper constitutes the investigations regarding possible formation of compact stars in $f(R,T)$ theory of gravity, where $R$ is Ricci scalar and $T$ is trace of energy momentum tensor. In this connection, we use analytic solution of Krori and Barua metric (Krori and Barua 1975)to spherically symmetric anisotropic star in context of $f(R,T)$ gravity. The masses and radii of compact stars models namely model $1$, model$2$ and model $3$ are employed to incorporate with unknown constants in Krori and Barua metric. The physical features such as regularity at center, anisotropy measure, casuality and well-behaved condition of above mentioned class of compact starts are analyzed. Moreover, we have also discussed energy conditions, stability and surface redshift in $f(R,T)$ gravity.

20 pages, 12 Figures and 1 table. Accepted for Publication in Astrophysics and Space Science

References in corpus (10)

• f(R,T) gravity
• f(R,L_m) gravity
• All static spherically symmetric anisotropic solutions of Einstein's equations
• Collapsing spherical stars in f(R) gravity
• Anisotropic Compact Stars in $f(G)$ Gravity
• Violation of First Law of Thermodynamics in f(R,T) Gravity
• Dynamical Instability and Expansion-free Condition in $f(R,T)$ Gravity
• Cylindrically Symmetric Models of Anisotropic Compact Stars
• Tolman-Oppenheimer-Volkoff equations in non-local $f(R)$ gravity
• Tolman-Oppenheimer-Volkoff Equations in Modified Gauss-Bonnet Gravity

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