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A toy model for a baby universe inside a black hole

Hrishikesh ChakrabartyCenter for Field Theory and Particle Physics and Department of Physics, Fudan University, Shanghai, 200438, People’s Republic of ChinaAhmadjon AbdujabbarovNational University of Uzbekistan, 100174, Tashkent, UzbekistanDaniele MalafarinaDepartment of Physics, Nazarbayev University, 53 Kabanbay Batyr Avenue, 010000, Astana, KazakhstanCosimo BambiCenter for Field Theory and Particle Physics and Department of Physics, Fudan University, Shanghai, 200438, People’s Republic of China
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Abstract We present a dynamical toy model for an expanding universe inside a black hole. The model is built by matching a spherically symmetric collapsing matter cloud to an expanding Friedmann–Robertson–Walker universe through a phase transition that occurs in the quantum-gravity dominated region, here modeled with semi-classical corrections at high density. The matching is performed on a space-like hyper-surface identified by the co-moving time at which quantum–gravity induced effects halt collapse. The purpose of the model is to suggest a possible reconciliation between the observation that black holes are well described by the classical solutions and the fact that the theoretical resolution of space–time singularities leads to a bounce for the collapsing matter.

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