Abstract
In the current article, we study anisotropic spherically symmetric strange star under the background of f(R, T) gravity using the metric potentials of Tolman–Kuchowicz type (Tolman in Phys Rev 55:364, 1939; Kuchowicz in Acta Phys Pol 33:541, 1968) as lambda (r)=ln (1+ar^2+br^4) and nu (r)=Br^2+2ln C which are free from singularity, satisfy stability criteria and also well-behaved. We calculate the value of constants a, b, B and C using matching conditions and the observed values of the masses and radii of known samples. To describe the strange quark matter (SQM) distribution, here we have used the phenomenological MIT bag model equation of state (EOS) where the density profile (rho ) is related to the radial pressure (p_r) as p_r(r)=frac{1}{3}(rho -4B_g). Here quark pressure is responsible for generation of bag constant B_g. Motivation behind this study lies in finding out a non-singular physically acceptable solution having various properties of strange stars. The model shows consistency with various energy conditions, TOV equation, Herrera’s cracking condition and also with Harrison–Zel'dovich–Novikov’s static stability criteria. Numerical values of EOS parameter and the adiabatic index also enhance the acceptability of our model.
Highlights
Quark pressure is responsible for generation of bag constant Bg
As an example for strange star candidate, we have considered P S R J 1614–2230, it will be most effective if we look at the numerical values of those effective quantities for this star
The fourth term arises due to coupling between the matter and the geometry, which can be termed as the force due to modified gravity (Fmg)
Summary
[3,4,5]. But inspite of its beauty, singularity makes it stagnant [6] in few cases. The tremendous pressure and density is probably responsible for phase transition of neutrons inside the neutron stars to hyperon (Λ, Σ, Ξ, Δ, Ω) and quark matter (u, d, s). Interior (specially core) of the neutron star contains quark matter since they become free of interaction due to high energy density and extreme asymptotic momentum transfer. According to the MIT bag model, the universal pressure Bg known as bag constant, is responsible for quark confinement and it is defined as the difference between energy density of the perturbative and non-perturbative quantum chromodynamics vacuum. The arbitrary function f (R, T ) contains the Ricci scalar R as well as T , the trace of the energy momentum tensor, £m is the matter Lagrangian density which represents the possibility of non-minimal coupling between matter and geometry, g is the determinant of gμν metric (c = G = 1).
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
