Application of Explicit Symplectic Integrators in the Magnetized Reissner-Nordstrom Spacetime

被引：0

作者：

Hu, Ai-Rong ^{[1
,2
]}

Huang, Guo-Qing ^{[1
]}

机构：

[1] Nanchang Univ, Sch Phys & Mat, Nanchang 330031, Peoples R China

[2] Nanchang Univ, Sch Civil Engn & Architecture, Nanchang 330031, Peoples R China

来源：

SYMMETRY-BASEL | 2023年 / 15卷 / 05期

基金：

中国国家自然科学基金;

关键词：

black holes; time-transformed Hamiltonian; symplectic integrator; chaos; VELOCITY SCALING METHOD; GRAVITATIONAL-FIELD; CHARGED-PARTICLES; CHAOTIC MOTION; MASS; ALGORITHM; ENERGY;

D O I：

10.3390/sym15051094

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In recent works by Wu and Wang a class of explicit symplectic integrators in curved spacetimes was presented. Different splitting forms or appropriate choices of time-transformed Hamiltonians are determined based on specific Hamiltonian problems. As its application, we constructed a suitable explicit symplectic integrator for surveying the dynamics of test particles in a magnetized Reissner-Nordstrom spacetime. In addition to computational efficiency, the scheme exhibits good stability and high precision for long-term integration. From the global phase-space structure of Poincare sections, the extent of chaos can be strengthened when energy E, magnetic parameter B, or the charge q become larger. On the contrary, the occurrence of chaoticity is weakened with an increase of electric parameter Q and angular momentum L. The conclusion can also be supported by fast Lyapunov indicators.

引用

页数：17

共 59 条

[1] Observation of Gravitational Waves from a Binary Black Hole Merger [J].

Abbott, B. P. ;

Abbott, R. ;

Abbott, T. D. ;

Abernathy, M. R. ;

Acernese, F. ;

Ackley, K. ;

Adams, C. ;

Adams, T. ;

Addesso, P. ;

Adhikari, R. X. ;

Adya, V. B. ;

Affeldt, C. ;

Agathos, M. ;

Agatsuma, K. ;

Aggarwal, N. ;

Aguiar, O. D. ;

Aiello, L. ;

Ain, A. ;

Ajith, P. ;

Allen, B. ;

Allocca, A. ;

Altin, P. A. ;

Anderson, S. B. ;

Anderson, W. G. ;

Arai, K. ;

Arain, M. A. ;

Araya, M. C. ;

Arceneaux, C. C. ;

Areeda, J. S. ;

Arnaud, N. ;

Arun, K. G. ;

Ascenzi, S. ;

Ashton, G. ;

Ast, M. ;

Aston, S. M. ;

Astone, P. ;

Aufmuth, P. ;

Aulbert, C. ;

Babak, S. ;

Bacon, P. ;

Bader, M. K. M. ;

Baker, P. T. ;

Baldaccini, F. ;

Ballardin, G. ;

Ballmer, S. W. ;

Barayoga, J. C. ;

Barclay, S. E. ;

Barish, B. C. ;

Barker, D. ;

Barone, F. .

PHYSICAL REVIEW LETTERS, 2016, 116 (06)

[2]

Akiyama K., 2022, The Astrophysical Journal Letters, V930, pL12

[3] First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole [J].

Akiyama, Kazunori ;

Alberdi, Antxon ;

Alef, Walter ;

Asada, Keiichi ;

Azulay, Rebecca ;

Baczko, Anne-Kathrin ;

Ball, David ;

Balokovic, Mislav ;

Barrett, John ;

Bintley, Dan ;

Blackburn, Lindy ;

Boland, Wilfred ;

Bouman, Katherine L. ;

Bower, Geoffrey C. ;

Bremer, Michael ;

Brinkerink, Christiaan D. ;

Brissenden, Roger ;

Britzen, Silke ;

Broderick, Avery E. ;

Broguiere, Dominique ;

Bronzwaer, Thomas ;

Byun, Do-Young ;

Carlstrom, John E. ;

Chael, Andrew ;

Chan, Chi-kwan ;

Chatterjee, Shami ;

Chatterjee, Koushik ;

Chen, Ming-Tang ;

Chen, Yongjun ;

Cho, Ilje ;

Christian, Pierre ;

Conway, John E. ;

Cordes, James M. ;

Crew, Geoffrey B. ;

Cui, Yuzhu ;

Davelaar, Jordy ;

De Laurentis, Mariafelicia ;

Deane, Roger ;

Dempsey, Jessica ;

Desvignes, Gregory ;

Dexter, Jason ;

Doeleman, Sheperd S. ;

Eatough, Ralph P. ;

Falcke, Heino ;

Fish, Vincent L. ;

Fomalont, Ed ;

Fraga-Encinas, Raquel ;

Freeman, William T. ;

Friberg, Per ;

Fromm, Christian M. .

ASTROPHYSICAL JOURNAL LETTERS, 2019, 875 (01)

[4] First M87 Event Horizon Telescope Results. VII. Polarization of the Ring [J].

Akiyama, Kazunori ;

Algaba, Juan Carlos ;

Alberdi, Antxon ;

Alef, Walter ;

Anantua, Richard ;

Asada, Keiichi ;

Azulay, Rebecca ;

Baczko, Anne-Kathrin ;

Ball, David ;

Balokovic, Mislav ;

Barrett, John ;

Benson, Bradford A. ;

Bintley, Dan ;

Blackburn, Lindy ;

Blundell, Raymond ;

Boland, Wilfred ;

Bouman, Katherine L. ;

Bower, Geoffrey C. ;

Boyce, Hope ;

Bremer, Michael ;

Brinkerink, Christiaan D. ;

Brissenden, Roger ;

Britzen, Silke ;

Broderick, Avery E. ;

Broguiere, Dominique ;

Bronzwaer, Thomas ;

Byun, Do-Young ;

Carlstrom, John E. ;

Chael, Andrew ;

Chan, Chi-kwan ;

Chatterjee, Shami ;

Chatterjee, Koushik ;

Chen, Ming-Tang ;

Chen, Yongjun ;

Chesler, Paul M. ;

Cho, Ilje ;

Christian, Pierre ;

Conway, John E. ;

Cordes, James M. ;

Crawford, Thomas M. ;

Crew, Geoffrey B. ;

Cruz-Osorio, Alejandro ;

Cui, Yuzhu ;

Davelaar, Jordy ;

De Laurentis, Mariafelicia ;

Deane, Roger ;

Dempsey, Jessica ;

Desvignes, Gregory ;

Dexter, Jason ;

Doeleman, Sheperd S. .

ASTROPHYSICAL JOURNAL LETTERS, 2021, 910 (01)

[5] Splitting and composition methods for explicit time dependence in separable dynamical systems [J].

Blanes, Sergio ;

Diele, Fasma ;

Marangi, Carmela ;

Ragni, Stefania .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2010, 235 (03) :646-659

[6] Midpoint rule as a variational-symplectic integrator: Hamiltonian systems [J].

Brown, JD .

PHYSICAL REVIEW D, 2006, 73 (02)

[7] GLOBAL STRUCTURE OF KERR FAMILY OF GRAVITATIONAL FIELDS [J].

CARTER, B .

PHYSICAL REVIEW, 1968, 174 (05) :1559-+

[8] A multiple time step symplectic algorithm for integrating close encounters [J].

Duncan, MJ ;

Levison, HF ;

Lee, MH .

ASTRONOMICAL JOURNAL, 1998, 116 (04) :2067-2077

[9] BLACK-HOLES IN A MAGNETIC UNIVERSE [J].

ERNST, FJ .

JOURNAL OF MATHEMATICAL PHYSICS, 1976, 17 (01) :54-56

[10]

Feng K., 1986, SYMPLECTIC GEOMETRY, V264, P1

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