Compact objects admitting Finch-Skea symmetry in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e243" altimg="si6.svg"><mml:mrow><mml:mi>f</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="script">R</mml:mi><mml:mo>,</mml:mo><mml:msup><mml:mrow><mml:mi mathvariant="normal">T</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math> gravity

This paper investigates the viability and stability of anisotropic compact stars in framework f(R,T2) theory (R is Ricci scalar T2=TτυTτυ). In this perspective, we use Finch–Skea symmetry consider different models to examine physical characteristics stars. We match interior spacetime with exterior region find values unknown constants. Further, analyze behavior several quantities such as effective matter variables, energy bounds, factor equation state parameters Vela X-1, SAX J 1808.4-3658, Her X-1 PSR J0348+0432 The equilibrium these examined through Tolman–Oppenheimer–Volkoff their checked by causality condition, Herrera cracking approach adiabatic index. It found that all required conditions are fulfilled for considered models. can conclude more viable stable obtained modified theory.