Standard

Cylindrically symmetric 2 + 1 gravity in terms of global variables : Quantum dynamics. / Andrianov, Alexander; Elmahalawy, Yasser; Starodubtsev, Artem.

в: International Journal of Modern Physics A, Том 35, № 2-3, 2040031, 30.01.2020.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Andrianov, A, Elmahalawy, Y & Starodubtsev, A 2020, 'Cylindrically symmetric 2 + 1 gravity in terms of global variables: Quantum dynamics', International Journal of Modern Physics A, Том. 35, № 2-3, 2040031. https://doi.org/10.1142/S0217751X2040031X

APA

Andrianov, A., Elmahalawy, Y., & Starodubtsev, A. (2020). Cylindrically symmetric 2 + 1 gravity in terms of global variables: Quantum dynamics. International Journal of Modern Physics A, 35(2-3), [2040031]. https://doi.org/10.1142/S0217751X2040031X

Vancouver

Andrianov A, Elmahalawy Y, Starodubtsev A. Cylindrically symmetric 2 + 1 gravity in terms of global variables: Quantum dynamics. International Journal of Modern Physics A. 2020 Янв. 30;35(2-3). 2040031. https://doi.org/10.1142/S0217751X2040031X

Author

Andrianov, Alexander ; Elmahalawy, Yasser ; Starodubtsev, Artem. / Cylindrically symmetric 2 + 1 gravity in terms of global variables : Quantum dynamics. в: International Journal of Modern Physics A. 2020 ; Том 35, № 2-3.

BibTeX

@article{00cced87402145dcb95b0e5e93663db6,
title = "Cylindrically symmetric 2 + 1 gravity in terms of global variables: Quantum dynamics",
abstract = "We perform quantization of a model in which gravity is coupled to a circular dust shell in 2 + 1 spacetime dimensions. Canonical analysis shows that momentum space of this model is ADS2-space, and the global chart for it is provided by the Euler angles. In quantum kinematics, this results in non-commutativity in coordinate space and discreteness of the shell radius in timelike region, which includes the collapse point. At the level of quantum dynamics, we find transition amplitudes between zero and non-zero eigenvalues of the shell radius, which describe the rate of gravitational collapse (bounce). Their values are everywhere finite, which could be interpreted as resolution of the central singularity.",
keywords = "Quantum gravity, singularity avoidance, thin shell, GEOMETRODYNAMICS",
author = "Alexander Andrianov and Yasser Elmahalawy and Artem Starodubtsev",
year = "2020",
month = jan,
day = "30",
doi = "10.1142/S0217751X2040031X",
language = "English",
volume = "35",
journal = "International Journal of Modern Physics A",
issn = "0217-751X",
publisher = "WORLD SCIENTIFIC PUBL CO PTE LTD",
number = "2-3",

}

RIS

TY - JOUR

T1 - Cylindrically symmetric 2 + 1 gravity in terms of global variables

T2 - Quantum dynamics

AU - Andrianov, Alexander

AU - Elmahalawy, Yasser

AU - Starodubtsev, Artem

PY - 2020/1/30

Y1 - 2020/1/30

N2 - We perform quantization of a model in which gravity is coupled to a circular dust shell in 2 + 1 spacetime dimensions. Canonical analysis shows that momentum space of this model is ADS2-space, and the global chart for it is provided by the Euler angles. In quantum kinematics, this results in non-commutativity in coordinate space and discreteness of the shell radius in timelike region, which includes the collapse point. At the level of quantum dynamics, we find transition amplitudes between zero and non-zero eigenvalues of the shell radius, which describe the rate of gravitational collapse (bounce). Their values are everywhere finite, which could be interpreted as resolution of the central singularity.

AB - We perform quantization of a model in which gravity is coupled to a circular dust shell in 2 + 1 spacetime dimensions. Canonical analysis shows that momentum space of this model is ADS2-space, and the global chart for it is provided by the Euler angles. In quantum kinematics, this results in non-commutativity in coordinate space and discreteness of the shell radius in timelike region, which includes the collapse point. At the level of quantum dynamics, we find transition amplitudes between zero and non-zero eigenvalues of the shell radius, which describe the rate of gravitational collapse (bounce). Their values are everywhere finite, which could be interpreted as resolution of the central singularity.

KW - Quantum gravity

KW - singularity avoidance

KW - thin shell

KW - GEOMETRODYNAMICS

UR - http://www.scopus.com/inward/record.url?scp=85078962777&partnerID=8YFLogxK

U2 - 10.1142/S0217751X2040031X

DO - 10.1142/S0217751X2040031X

M3 - Article

AN - SCOPUS:85078962777

VL - 35

JO - International Journal of Modern Physics A

JF - International Journal of Modern Physics A

SN - 0217-751X

IS - 2-3

M1 - 2040031

ER -

ID: 53624282