Towards a quantum Oppenheimer-Snyder model

Schmitz, Tim

doi:10.1103/physrevd.101.026016

Cited by 22 publications

(23 citation statements)

References 33 publications

(81 reference statements)

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“…As we have already discussed in Ref. [6], our investigation of a different collapse model in Ref. [7] shows that quantum corrections as seen by the comoving observer will cause the dust cloud to bounce instead of collapsing to a singularity.…”

Section: Introductionsupporting

confidence: 51%

“…In Ref. [6] we have presented a canonical formulation of the OS model, and in particular implemented the comoving and the exterior stationary observers explicitly. In this paper we want to quantize the OS model in this form, leading to two different deparametrized quantum theories, one for each observer.…”

Section: Introductionmentioning

confidence: 99%

“…For most of these open questions, particularly for the lifetime, the point of view of the stationary observer is especially relevant. This is why we explicitly implement that observer here in the quantum theory; we hope to complement and build on our discussion of the comoving observer [6,7] and shed a bit more light on the aforementioned questions in bouncing collapse.…”

Section: Introductionmentioning

confidence: 99%

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Quantum Oppenheimer-Snyder model

Piechocki,

Schmitz

2020

Preprint

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We construct two reduced quantum theories for the Oppenheimer-Snyder model, respectively taking the point of view of the comoving and the exterior stationary observer, using affine coherent states quantization. Investigations of the quantum corrected dynamics reveal that both observers can see a bounce, although for the exterior observer certain quantization ambiguities have to be chosen correctly. The minimal radius for this bounce as seen from the stationary observer is then shown to always be outside of the photon sphere. Possible avenues to lower this minimal radius and reclaim black holes as an intermediate state in the collapse are discussed. We demonstrate further that switching between the observers at the level of the quantum theories can be achieved by modifying the commutation relations.

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Section: Introductionsupporting

confidence: 51%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Quantum Oppenheimer-Snyder model

Piechocki,

Schmitz

2020

Preprint

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“…We have found and discussed this equation and its solutions in Refs. [2,47], where we constructed a quantum Oppenheimer-Snyder model, and also in Ref. [1] where it emerged for a quantum Lemaître-Tolman-Bondi model.…”

Section: A Specific Equation Of Motionmentioning

confidence: 99%

Exteriors to bouncing collapse models

Schmitz

2020

Preprint

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We construct a large class of spacetimes that are smoothly matched to homogeneous, spherically symmetric clouds of matter. The evolution of the clouds is left arbitrary to allow for the incorporation of modifications by quantum effects, which can in particular lead to bounces. We further discuss two simple yet illustrative examples of these spacetimes, both in general terms and for a specific form of the bounce, with a focus on horizon behavior and relevant timescales.

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“…In fact, it will be shown that, by setting the constraints for the formation of the SBH in the quantized Oppenheimer and Snyder gravitational collapse, one arrives to quantize the SBH, and this will be a remarkable, important result in the quantum gravity's search. In fact, the Oppenheimer and Snyder gravitational collapse and/or some of its modifications have currently a renovated interest among researchers in gravitation, see for example [18,19,20,21,22,23,24] and references within.…”

Section: A Review Of Rosen's Approachmentioning

confidence: 99%

Quantum oscillations in the black hole horizon

Corda,

Feleppa,

Tamburini

et al. 2021

Preprint

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By applying Rosen's quantization approach to the historical Oppenheimer and Snyder gravitational collapse and by setting the constraints for the formation of the Schwarzschild black hole (SBH), in a previous paper [1] two of the Authors (CC and FF) found the gravitational potential, the Schrödinger equation, the solution for the energy levels, the area quantum and the quantum representation of the ground state at the Planck scale of the SBH. Such results are consistent with previous ones in the literature. It was also shown that the traditional classical singularity in the core of the SBH is replaced by a quantum oscillator describing a non-singular two-particle system where the two components, named the "nucleus" and the "electron", strongly interact with each other through a quantum gravitational interaction. In agreement with the de Broglie hypothesis, the "electron" is interpreted in terms of the quantum oscillations of the BH horizon. In other words, the SBH should be the gravitational analogous of the hydrogen atom. In this paper, it is shown that these results allow us to compute the SBH entropy as a function of the BH principal quantum number in terms of Bekenstein-Hawking entropy and three sub-leading corrections. In addition, the coefficient of the formula of Bekenstein-Hawking entropy is reduced to a quarter of the traditional value. Then, it is shown that, by performing a correct rescaling of the energy levels, the semi-classical Bohr-like approach to BH quantum physics, previously developed by one of the Authors (CC), is consistent with the obtained results for large values of the BH principal quantum number. After this, Hawking radiation will be analysed by discussing its connection with the BH quantum structure. Finally, it is shown that the time evolution of the above mentioned system solves the BH information paradox.

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Towards a quantum Oppenheimer-Snyder model

Cited by 22 publications

References 33 publications

Quantum Oppenheimer-Snyder model

Quantum Oppenheimer-Snyder model

Exteriors to bouncing collapse models

Quantum oscillations in the black hole horizon

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