Finsler–Randers cosmology in the framework of a particle creation mechanism: a dynamical systems perspective

The present work deals with the dynamical evolution of Finsler–Randers (FR) cosmological model in the framework of particle creation mechanism. The particle creation mechanism presented the real non-equilibrium thermodynamics of the Universe. We investigate the phase plane analysis of the model. The evolution of cosmological solutions is studied by using dynamical system techniques. We find one additional critical point in FR cosmological model than Riemannian geometry. Stability and viability of the model are discussed. We find the solution of FR cosmological model which provide an acceleration phase of the Universe under some restriction. It is also shown that the evolution of the model at additional critical point is de Sitter Universe and can have stable late time attractor.