Effective quantum dust collapse via surface matching

The fate of matter forming a black hole is still an open problem, although models quantum gravity corrected holes are available. In loop (LQG) were presented, which resolve the classical singularity in centre by means black-to-white transition, but neglect collapse process. situation similar other approaches, where eternal non-singular this paper, strategy presented to generalise these dynamical surface matching. Assuming 1) validity static spacetime outside collapsing matter, 2) homogeneity and 3) differentiability at fixes dynamics uniquely. It argued that assumptions resemble pressure-less dust thus generalises Oppenheimer-Snyder-Datt model, no precise model has be assumed. Hawking radiation systematically neglected approach. junction conditions discussed generically for bouncing spacetimes, as proposed LQG, scheme approach independent. Further, equations explicitly solved recent [1] global picture achieved. causal structure detail Penrose diagram constructed. trajectory completely constructed from inside observer point view. general analysis shows re-expanding crosses diagonally. This way infinite tower diagrams, several LQG models, not cut out. Questions about different timescales in- observers can answered.