Shell-crossing singularities in effective LQG star collapse, Francesco Fazzini (University of New Brunswick, Canada)

Loop quantum gravity is mature enough to address questions regarding the final state of star collapse and the fate of quantum black holes in quite a rigorous manner, at least in the effective canonical approach.
The recent availability of effective EOMs allowed to study the dynamics beyond Oppenheimer-Snyder, both analytically and numerically. It turned out that continuous initial dust profiles with compact support develop shell-crossing singularities (SCS) at most within a planckian time after the bounce (both in the marginally bound and non-marginally bound case), making the analysis of SCS (and the extension of the dynamics beyond them) a central topic in effective LQG star collapse.
Recent work on star collapse with pressure (the first effective collapse models with realistic matter fields) shows that including pressure (ideal and non-ideal fluids) doesn’t avoid the formation of SCS after the core bounce independently from the pressure magnitude, making the SCS formation a crucial feature of effective star collapse/black holes.
I will discuss the SCS formation (through numerical simulations and analytical results) in effective star collapse both in the dust and pressure case (in generalized LTB gauge), based on effective equations that could be easily adapted to other polymerization schemes.