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The Spectrum of States of Bañados–Teitelboim–Zanelli Black Hole Formed by a Collapsing Dust Shell. / Andrianov, A.A.; Lyozin, D.A.; Starodubtsev, A.N.

In: Journal of Mathematical Sciences, Vol. 284, No. 5, 20.09.2024, p. 573-581.

Research output: Contribution to journal › Article › peer-review

Harvard

Andrianov, AA, Lyozin, DA & Starodubtsev, AN 2024, 'The Spectrum of States of Bañados–Teitelboim–Zanelli Black Hole Formed by a Collapsing Dust Shell', Journal of Mathematical Sciences, vol. 284, no. 5, pp. 573-581. https://doi.org/10.1007/s10958-024-07373-w

APA

Andrianov, A. A., Lyozin, D. A., & Starodubtsev, A. N. (2024). The Spectrum of States of Bañados–Teitelboim–Zanelli Black Hole Formed by a Collapsing Dust Shell. Journal of Mathematical Sciences, 284(5), 573-581. https://doi.org/10.1007/s10958-024-07373-w

Vancouver

Andrianov AA, Lyozin DA, Starodubtsev AN. The Spectrum of States of Bañados–Teitelboim–Zanelli Black Hole Formed by a Collapsing Dust Shell. Journal of Mathematical Sciences. 2024 Sep 20;284(5):573-581. https://doi.org/10.1007/s10958-024-07373-w

Author

Andrianov, A.A. ; Lyozin, D.A. ; Starodubtsev, A.N. / The Spectrum of States of Bañados–Teitelboim–Zanelli Black Hole Formed by a Collapsing Dust Shell. In: Journal of Mathematical Sciences. 2024 ; Vol. 284, No. 5. pp. 573-581.

BibTeX

@article{407c2b835977414da3f595376de0c471,
title = "The Spectrum of States of Ba{\~n}ados–Teitelboim–Zanelli Black Hole Formed by a Collapsing Dust Shell",
abstract = "We perform the canonical analysis of an action in which 2+1-dimensional gravity with a negative cosmological constant is coupled to a cylindrically symmetric dust shell. The resulting phase space is finite dimensional having geometry of SO(2, 2) group manifold. Representing the Poisson brackets by commutators results in the algebra of observables which is a quantum double D(SL(2)q). Deformation parameter q is real when the total energy of the system is below the threshold of a black hole formation, and a root of unity when it is above. Inside the black hole the spectra of the shell radius and time operator are discrete and take on a finite set of values. The Hilbert space of the black hole is thus finite-dimensional. {\textcopyright} The Author(s), under exclusive licence to Springer Nature Switzerland AG 2024.",
author = "A.A. Andrianov and D.A. Lyozin and A.N. Starodubtsev",
note = "Export Date: 19 October 2024 Адрес для корреспонденции: Andrianov, A.A.; St.Petersburg State UniversityRussian Federation; эл. почта: sashaandrianov@gmail.com Адрес для корреспонденции: Lyozin, D.A.; St.Petersburg State UniversityRussian Federation; эл. почта: danilalyozin@yandex.ru",
year = "2024",
month = sep,
day = "20",
doi = "10.1007/s10958-024-07373-w",
language = "Английский",
volume = "284",
pages = "573--581",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "5",

}

RIS

TY - JOUR

T1 - The Spectrum of States of Bañados–Teitelboim–Zanelli Black Hole Formed by a Collapsing Dust Shell

AU - Andrianov, A.A.

AU - Lyozin, D.A.

AU - Starodubtsev, A.N.

N1 - Export Date: 19 October 2024 Адрес для корреспонденции: Andrianov, A.A.; St.Petersburg State UniversityRussian Federation; эл. почта: sashaandrianov@gmail.com Адрес для корреспонденции: Lyozin, D.A.; St.Petersburg State UniversityRussian Federation; эл. почта: danilalyozin@yandex.ru

PY - 2024/9/20

Y1 - 2024/9/20

N2 - We perform the canonical analysis of an action in which 2+1-dimensional gravity with a negative cosmological constant is coupled to a cylindrically symmetric dust shell. The resulting phase space is finite dimensional having geometry of SO(2, 2) group manifold. Representing the Poisson brackets by commutators results in the algebra of observables which is a quantum double D(SL(2)q). Deformation parameter q is real when the total energy of the system is below the threshold of a black hole formation, and a root of unity when it is above. Inside the black hole the spectra of the shell radius and time operator are discrete and take on a finite set of values. The Hilbert space of the black hole is thus finite-dimensional. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2024.

AB - We perform the canonical analysis of an action in which 2+1-dimensional gravity with a negative cosmological constant is coupled to a cylindrically symmetric dust shell. The resulting phase space is finite dimensional having geometry of SO(2, 2) group manifold. Representing the Poisson brackets by commutators results in the algebra of observables which is a quantum double D(SL(2)q). Deformation parameter q is real when the total energy of the system is below the threshold of a black hole formation, and a root of unity when it is above. Inside the black hole the spectra of the shell radius and time operator are discrete and take on a finite set of values. The Hilbert space of the black hole is thus finite-dimensional. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2024.

UR - https://www.mendeley.com/catalogue/d70ede0f-7a64-3724-9893-f9d8db1a737e/

U2 - 10.1007/s10958-024-07373-w

DO - 10.1007/s10958-024-07373-w

M3 - статья

VL - 284

SP - 573

EP - 581

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 5

ER -

ID: 126355357