On Free Fall of a Particle into a Black Hole and Falling Below the Event Horizon in Kramer’s Metric in the Presence of Dark Energy

For a model of decaying dark energy with a fermion (τ-lepton), additional corrections to the classical estimate of the time of falling of particles into a static uncharged black hole in Kramer’s coordinates have been obtained, along with corrections to the Kruskal coordinates determined by a prescribed velocity functional of the fifth dimension.