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The collapsing dynamics of relativistic fluid are explored in $f(R)$ gravityin a detailed systematic manner for the non-static spherically symmetricspacetime satisfying the equation of the conformal Killing vector. Withquasi-homologous condition and diminishing complexity factor condition, exactsolutions for dissipative as well as for non-dissipative systems are found andthe astrophysical applications of these exact solutions are discussed.Furthermore, it is demonstrated that $f(R)=R$, which is the extensiverestriction of $f(R)$ gravity, prior solutions of the collapsing fluid ingeneral relativity, can be retrieved.

Collapsing dynamics of relativistic fluid in modified gravity admitting a conformal Killing vector