Transgressing the horizons: Time operator in two-dimensional dilaton gravity

Simple item page
dc.creatorKunstatter, Gabor
dc.creatorLouko, Jorma
dc.date2006-08-16
dc.date2007-02-02
dc.date.accessioned2026-07-07T10:24:26Z
dc.date.available2026-07-07T10:24:26Z
dc.descriptionWe present a Dirac quantization of generic single-horizon black holes in two-dimensional dilaton gravity. The classical theory is first partially reduced by a spatial gauge choice under which the spatial surfaces extend from a black or white hole singularity to a spacelike infinity. The theory is then quantized in a metric representation, solving the quantum Hamiltonian constraint in terms of (generalized) eigenstates of the ADM mass operator and specifying the physical inner product by self-adjointness of a time operator that is affinely conjugate to the ADM mass. Regularity of the time operator across the horizon requires the operator to contain a quantum correction that distinguishes the future and past horizons and gives rise to a quantum correction in the hole's surface gravity. We expect a similar quantum correction to be present in systems whose dynamics admits black hole formation by gravitational collapse.
dc.description32 pages, 1 eps figure. v2: references and comments added
dc.identifierhttps://arxiv.org/abs/gr-qc/0608080
dc.identifierhttp://arxiv.org/abs/gr-qc/0608080
dc.identifierPhys.Rev.D75:024036,2007
dc.identifierdoi:10.1103/PhysRevD.75.024036
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/176185
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleTransgressing the horizons: Time operator in two-dimensional dilaton gravity
dc.typetext

Files

Collections

arXiv