A comprehensive discussion for the identification of cracking points in f(R) theories of gravity Adnan Malik, Attiya Shafaq, Tayyaba Naz and A. H. Al-khaldi Eur. Phys. J. C, 83 8 (2023) 765 Published online: 30 August 2023 DOI: 10.1140/epjc/s10052-023-11940-x