Seminarium Teorii Względności i Grawitacji

The collapse of a spherically symmetric ball of dust has been intensively studied in LoopQuantum Gravity (LQG). From a quantum theory, it is possible to recover a semiclassical regimethrough a polymerization procedure.In this setting, general solutions to the polymerized Einstein field equations (PEFE) will be dis-cussed both for the interior and the exterior of the dust cloud. Exterior solutions are particularlyinteresting since they may lead to a semiclassical version of the Birkhoff’s theorem. It is seen thatif time independence of the vacuum is imposed, there exists a unique class of solutions dependingon two parameters. Nevertheless, the possibility of more intricate time dependent solutions is notruled out completely.Ultimately, these results will be compared to a model of spherical collapse obtained independentlyfrom the Einstein equations.