On particle dynamics near the singularity inside the Schwarzschild black hole and T-spheres

The problem of the speed objects inside Schwarzschild black hole is considered. general result that value relative following their non-zero angular momentum trajectories, both geodesic and non-geodesic character, when approaching ultimate singularity, tends to light. There only one exception move in same plane have parallel momenta. This outcome appears a deeper sense: it reflects anisotropic character dynamics interior this particular hole. question means near collisions two particles lead an indefinitely large energy center mass frame. Aforementioned properties counterpart phenomenon blueshift singularity. Thus particle turns out be important feature affects final behavior Motivated by fact, we generalize Lema\^{\i}tre frame under horizon such way reference themselves nonzero momentum. Our results apply not singularity but also other space-like ones for which scale factor $g\rightarrow \infty $. We analyze another type singulairites circumference radius vanishes $g$ remains finite.