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Perspectives on the dynamics in a loop quantum gravity effective description of black hole interiors

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dc.abstract.enIn the loop quantum gravity context, there have been numerous proposals to quantize the reduced phase space of a black hole and develop a classical effective description for its interior which eventually resolves the singularity. However, little progress has been made toward understanding the relation between such quantum/effective minisuperspace models and what would be the spherically symmetric sector of loop quantum gravity. In particular, it is not clear whether one can extract the phenomenological predictions obtained in minisuperspace models, such as the singularity resolution and the spacetime continuation beyond the singularity, based on results in full loop quantum gravity. In this paper, we present an attempt in this direction in the context of Kantowski-Sachs spacetime, through the proposal of two new effective Hamiltonians for the reduced classical model. The first is derived using Thiemann classical identities for the regularized expressions, while the second is obtained as a first approximation of the expectation value of a Hamiltonian operator in loop quantum gravity in a semiclassical state peaked on the Kantowski-Sachs initial data. We then proceed with a detailed analysis of the dynamics they generate and compare them with the Hamiltonian derived in general relativity and the common effective Hamiltonian proposed in earlier literature.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorLiegener, Klaus
dc.contributor.authorDapor, Andrea
dc.contributor.authorAssanioussi, Mehdi
dc.date.accessioned2024-01-25T16:35:18Z
dc.date.available2024-01-25T16:35:18Z
dc.date.issued2020
dc.description.financePublikacja bezkosztowa
dc.description.number2
dc.description.volume101
dc.identifier.doi10.1103/PHYSREVD.101.026002
dc.identifier.issn2470-0010
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/115743
dc.identifier.weblinkhttps://link.aps.org/article/10.1103/PhysRevD.101.026002
dc.languageeng
dc.pbn.affiliationphysical sciences
dc.relation.ispartofPhysical Review D
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.titlePerspectives on the dynamics in a loop quantum gravity effective description of black hole interiors
dc.typeJournalArticle
dspace.entity.typePublication