Abstract We investigate the celebrated Raychaudhuri equation (RE) within the framework of a modified gravity inspired by Finsler geometry. We further discuss the classical focusing theorem in different cosmological scenarios. Moreover, we attempt to find some analogy of the modified Finsler RE with the first Friedmann equation and find the first integral. We analyze the cosmological singularity using a Harmonic Oscillator approach in this modified dynamics. Finally, we incorporate quantum corrections to the Finsler-modified RE and discuss the existence and/or avoidance of the initial big-bang singularity by a semi-classical approaches namely,the Wheeler–DeWitt quantization formalism.
Chakraborty et al. (Mon,) studied this question.