Action-angle variables for the particle near extreme Kerr throat

Action-angle variables for the particle near extreme Kerr throat

Bibliographic Details
Parent link:Modern Physics Letters A: Scientific Journal
Vol. 27, iss. 32.— 2012.— [1250191 р. 11]
Main Author: Bellucci S. Stefano
Other Authors: Nersessian A. P. Armen Petrosovich, Yeghikyan V. Vahagn
Summary:Title screen
We construct the action-angle variables for the spherical part of conformal mechanics describing the motion of a particle near extreme Kerr throat. We indicate the existence of the critical point |pφ|=mcRSch (with m being the mass of the particle, c denoting the speed of light, RSch=2γM/c2 being the Schwarzschild radius of a black hole with mass M, and γ denoting the gravitational constant), where these variables are expressed in terms of elementary functions. Away from this point the action-angle variables are defined by elliptic integrals. The proposed formulation allows one to easily reconstruct the whole dynamics of the particle both in initial coordinates, as well as in the so-called conformal basis, where the Hamiltonian takes the form of conventional non-relativistic conformal mechanics. The related issues, such as semiclassical quantization and supersymmetrization are also discussed.
Режим доступа: по договору с организацией-держателем ресурса
Language:English
Published: 2012
Subjects:
электронный ресурс
труды учёных ТПУ
Online Access:http://dx.doi.org/10.1142/S021773231250191X
http://arxiv.org/abs/1112.4713
Format: Electronic Book Chapter
KOHA link:https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=641458

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