Quantum black holes in bootstrapped Newtonian gravity
| Autor: | Michele Lenzi, Alessandro Ciarfella, Roberto Casadio |
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| Přispěvatelé: | Casadio, Roberto, Lenzi, Michele, Ciarfella, Alessandro |
| Rok vydání: | 2020 |
| Předmět: |
Physics
High Energy Physics - Theory Quantum Physics Uncertainty principle Newtonian potential 010308 nuclear & particles physics Horizon FOS: Physical sciences Black holes quantum gravity General Relativity and Quantum Cosmology (gr-qc) 01 natural sciences General Relativity and Quantum Cosmology Classical mechanics High Energy Physics - Theory (hep-th) 0103 physical sciences Gravitational collapse Coherent states Gravitational singularity 010306 general physics Quantum Physics (quant-ph) Quantum Schwarzschild radius |
| DOI: | 10.48550/arxiv.2002.00221 |
| Popis: | We analyse the classical configurations of a bootstrapped Newtonian potential generated by homogeneous spherically symmetric sources in terms of a quantum coherent state. We first compute how the mass and mean wavelength of these solutions scale in terms of the number of quanta in the coherent state. We then note that the classical relation between the ADM mass and the proper mass of the source naturally gives rise to a Generalised Uncertainty Principle for the size of the gravitational radius in the quantum theory. Consistency of the mass and wavelength scalings with this GUP requires the compactness remains at most of order one even for black holes, and the corpuscular predictions are thus recovered, with the quantised horizon area expressed in terms of the number of quanta in the coherent state. Our findings could be useful for analysing the classicalization of gravity in the presence of matter and the avoidance of singularities in the gravitational collapse of compact sources. Comment: LaTeX, 27 pages, 6 figures, clarifications added, to appear in PRD |
| Databáze: | OpenAIRE |
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