  In this paper, in the classical framework we evaluate the lower bounds for
the sensitivities of the generalized Lemaitre Tolman Bondi metric. The
calculated lower bounds via the linear dynamical systems
L_{\frac{\partial}{\partial\theta}}, L_{\frac{\partial}{\partial r}}, and
L_{\frac{\partial}{\partial\phi}} are
-\ln2+\ln|(\dot{R}B)^{2}-(R')^{2}|-2\ln|B|, 2\ln|\dot{B}|-\ln2 and
-\ln2-2\ln|B|+\ln|(\dot{R}^{2}B^{2}-R'^{2})\sin^{2}\theta-B^{2}\cos^{2}\theta|
respectively. We also show that the sensitivities and the lower sensitivities
via L_{\frac{\partial}{\partial t}} are zero. In the quantum framework we
analyse the properties of the Einstein-Vaz shells which are the final result of
the quantum gravitational collapse arising from the Lemaitre Tolman Bondi
discussed by Vaz in 2014. In fact, Vaz showed that continued collapse to a
singularity can only be obtained if one combines two independent and entire
solutions of the Wheeler-DeWitt equation. Forbidding such a combinatin leads
naturally to matter condensing on the Schwarzschild surface during quantum
collapse. In that way, an entirely new framework for black holes (BHs) has
emerged. The approach of Vaz as also consistent with Einstein's idea in 1939 of
the localization of the collapsing particles within a thin spherical shell.
Here, following an approach of oned of us (CC), we derive the BH mass and
energy spectra via a Schrodinger-like approach, by further supporting Vaz's
conclusions that instead of a spacetime singularity covered by an event
horizon, the final result of the gravitational collapse is an essentially
quantum object, an extremely compact "dark star". This "gravitational atom" is
held up not by any degeneracy pressure but by quantum gravity in the same way
that ordinary atoms are sustained by quantum mechanics. Finally, we discuss the
time evolution of the Einstein-Vaz shells
