Charged compact star in f(R, T) gravity in Tolman–Kuchowicz spacetime

In this current study, our main focus is to model a specific charged compact star SAX J 1808.4-3658 (M = 0.88 $M_{\odot}$,\, R 8.9 km) within the realm of $f(R,\,T)$ modified gravity theory using metric potentials proposed by Tolman-Kuchowicz (Tolman, Phys Rev 55:364, 1939; Kuchowicz Acta Pol 33:541, 1968) and interior spacetime matched exterior Reissner-Nordstr\"{o}m line element at surface star. provide singularity-free solution which satisfies stability criteria. Here we have used simplified phenomenological MIT bag equation state (EoS) solve Einstein-Maxwell field equations where density profile ($\rho$) related radial pressure ($p_r$) as $p_r(r) (\rho - 4B_g)/3$. Further, derive values unknown constants $a,\, b,\, B,\, C$ constant $B_g$, match space-time stellar system. addition this, check physical validity suggested model, evaluate some important properties such effective energy density, pressures, transverse sound velocities, relativistic adiabatic index, all conditions, compactness factor redshift. It depicted from study that derived results lie physically accepted regime provides viability present in context gravity.