Quantum dynamics of gravitational massive shell - INSPIRE

DataBETA

Quantum dynamics of gravitational massive shell

Nov 10, 2022

33 pages

Published in:

Phys.Rev.D 107 (2023) 4, 046019

Published: Feb 15, 2023

e-Print:

2211.05401 [gr-qc]

DOI:

10.1103/PhysRevD.107.046019 (publication)

View in:

ADS Abstract Service

reference search4 citations

Citations per year

Abstract: (APS)

The quantum dynamics of a self-gravitating thin matter shell in vacuum has been considered. The quantum Hamiltonian of the system is positive definite. Within a chosen set of parameters, the quantum shell bounces above the horizon. The considered quantum system does not collapse to the gravitational singularity of the corresponding classical system.

Note:

33 pages, 6 figures; version accepted for publication in Physical Review D

References(22)

Figures(6)

[1]

New derivation of the variational principle for the dynamics of a gravitating spherical shell

J. Kijowski
(
- Warsaw, CFT and
- Cardinal Wyszynski U.
)
,
G. Magli
(
- Milan U., Math. Dept.
)
,
D. Malafarina
(
- Milan U., Math. Dept. and
- Warsaw, CFT
)

- Phys.Rev.D 74 (2006) 084017
•
DOI:
- 10.1103/PhysRevD.74.084017

[2]

Proper time quantization of a thin shell

Cenalo Vaz
(
- Cincinnati U.
)

- Int.J.Mod.Phys.D 31 (2022) 14, 2241001
•
e-Print:
- 2205.06867
•
DOI:
- 10.1142/S0218271822410012

[3]

Positivity of total energy in general relativity

J. Jezierski
,
J. Kijowski

- Phys.Rev.D 36 (1987) 1041
•
DOI:
- 10.1103/PhysRevD.36.1041

[4]

Quantum Belinski–Khalatnikov–Lifshitz scenario

Andrzej Góźdź
(
- Lublin, Curie U.
)
,
Włodzimierz Piechocki
(
- NCBJ, Warsaw
)
,
Grzegorz Plewa
(
- NCBJ, Warsaw
)

- Eur.Phys.J.C 79 (2019) 1, 45
•
e-Print:
- 1807.07434
•
DOI:
- 10.1140/epjc/s10052-019-6571-4

[5]

Dependence of the affine coherent states quantization on the parametrization of the affine group

- Eur.Phys.J.Plus 136 (2021) 1, 18
•
e-Print:
- 1908.10039
•
DOI:
- 10.1140/epjp/s13360-020-01005-3

[6]

Unitary representations of the group of linear transformations of the straight line

I.M. Gelfand
,
M.A. Naïmark

- Dokl.Akad.Nauk SSSR 55 (1947) 567

[7]

Unitary representations of the affine group

E.W. Aslaksen
,
J.R. Klauder

- J.Math.Phys. 9 (1968) 206
•
DOI:
- 10.1063/1.1664570

[8]

Continuous representation theory using the affine group

E.W. Aslaksen
(
- Bell Labs
)
,
J.R. Klauder
(
- Bell Labs
)

- J.Math.Phys. 10 (1969) 2267-2275
•
DOI:
- 10.1063/1.1664833

[9]

(, Warszawa, )

A.O. Barut
,
R. Rączka

[10]

Covariant affine integral quantization(s)

Jean Pierre Gazeau
(
- APC, Paris
)
,
Romain Murenzi
(
- ICTP, Trieste
)

- J.Math.Phys. 57 (2016) 5, 052102-1
•
e-Print:
- 1512.08274
•
DOI:
- 10.1063/1.4949366

[11]

Integral quantizations with two basic examples

Jean Pierre Gazeau
(
- Rio de Janeiro, CBPF and
- APC, Paris
)
,
Herve Bergeron
(
- Orsay
)

- Annals Phys. 344 (2014) 43-68,
- Annals of Physics (NY) 344 43-68 (2014)
•
e-Print:
- 1308.2348
•
DOI:
- 10.1016/j.aop.2014.02.008

[12]

(, Academic Press, ), Vols.

M. Reed
,
B. Simon

[13]

(, Oxford, )

G.B. Arfken
,
H.J. Weber
,
F.E. Harris

[14]

2nd rev. ed. (, Berlin Heidelberg, )

P. Busch
,
P.J. Lahti
,
P. Mittelstaedt

[15]

Ascribing quantum system to Schwarzschild spacetime with naked singularity

- Class.Quant.Grav. 39 (2022) 14, 145005
•
e-Print:
- 2110.08503
•
DOI:
- 10.1088/1361-6382/ac6789

[16]

Note sur une nouvelle formule du calcul différentiel

F. Faà di Bruno

- Quart.J.Math.Oxford Ser. 1 (1855) 359

[17]

Bell polynomial, Encyclopedia of Mathematics

[18]

Exponential polynomials

E.T. Bell

- Annals Math. 35 (1934) 258
•
DOI:
- 10.2307/1968431

[19]

Eine neue Art von Zahlen, ihre Eigenschaften und Anwendung in der mathematischen Statistik

I. Lah

- Mitteil. Math. Statist. 7 (1955) 203

[20]

edited by (, Washington, DC, ), Vol.

M. Abramowitz
,
I.A. Stegun

[21]

Brian

W.H. Press
,
S.A. Teukolsky
,
W.T. Vetterling
,
B.P. Flannery

[22]

Positive cosmological constant in loop quantum cosmology

Tomasz Pawlowski
(
- New Brunswick U. and
- Penn State U. and
- Warsaw U.
)
,
Abhay Ashtekar
(
- Penn State U.
)

- Phys.Rev.D 85 (2012) 064001
•
e-Print:
- 1112.0360
•
DOI:
- 10.1103/PhysRevD.85.064001