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- W3210565575 abstract "We explore the way different loop quantization prescriptions affect the formation of trapped surfaces in the gravitational collapse of a homogeneous dust cloud, with a particular emphasis on the so called $mu_o$ scheme in which loop quantum cosmology was initially formulated. Its undesirable features in cosmological models led to the so-called improved dynamics or the $bar mu$ scheme. While the jury is still out on the right scheme for black hole spacetimes, we show that as far as the black hole formation is concerned the $mu_o$ scheme has another, so far unknown, serious problem. We find that in the $mu_o$ scheme no trapped surfaces would form for a non-singular collapse of a homogeneous dust cloud in the marginally bound case unless the minimum non-zero area of the loops over which holonomies are computed or the Barbero-Immirzi parameter decreases almost four times from its standard value. It turns out that the trapped surfaces in the $mu_o$ scheme for the marginally bound case are also forbidden for any arbitrary matter content as long as the collapsing interior is isometric to a spatially flat Friedmann-Lema^itre-Robertson-Walker (FLRW) spacetime. We find that in contrast to the situation in the $mu_o$ scheme, black holes can form in the $bar mu$ scheme, and also other lattice refinements with a mass gap determined by quantum geometry." @default.
- W3210565575 created "2021-11-08" @default.
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- W3210565575 date "2021-10-28" @default.
- W3210565575 modified "2023-09-23" @default.
- W3210565575 title "Does loop quantum $mu_o$ scheme permit a black hole formation?" @default.
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- W3210565575 doi "https://doi.org/10.48550/arxiv.2110.15373" @default.
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