Quantum Oppenheimer-Snyder model

Abstract The affine coherent state (ACS) quantisation method represents an effective approach to quantisation that can be adapted for the construction of a quantum spherical symmetric gravitational model. The ACS quantisation method is characterised by a relatively straightforward mathematical formalism. The method permits the quantisation of both the spatial and temporal coordinates, thereby enabling the reproduction of the classical quantity as an expectation value of an appropriate quantum observable. This paper presents the ACS quantisation of the Oppenheimer-Snyder (OS) model and discusses the general construction of the ACS quantum space. It also presents a quantum description of the OS model based on the analysis of characteristic quantum observables, with particular emphasis on the gravitational singularity area.