UFTFA67 Compact objects with magnetic fields

Faculty of Philosophy and Science in Opava
Summer 2020
Extent and Intensity
2/1/0. 4 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Jiří Kovář, Ph.D. (lecturer)
doc. RNDr. Jiří Kovář, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Jiří Kovář, Ph.D.
Centrum interdisciplinárních studií – Faculty of Philosophy and Science in Opava
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
The aim of the course is to introduce some important space-times of compact objects with magnetic fields. The attention will be paid to structures of these space-times, their derivations from Einstein-Maxwell equations, to the methods for charged particles motion description and, especially, to off-equatorial orbits. The course will be finished with lectures on modeling of electrically charged perfect fluid toroidal structures.
Syllabus
  • * gravitational and electromagnetic fields equations
    * space-times of compact objects with magnetic fields
    * motion of charged particles
    * off-equatorial motion of charged particles
    * electrically charged toroidal structures - the formalism
    * electrically charged toroidal structures in astrophysics
Literature
    recommended literature
  • J. Kovář, P. Slaný, Z. Stuchlík,V. Karas, C. Cremaschini, J. C. Role of electric charge in shaping equilibrium configurations of fluid tori encircling black holes. Phys. Review D, 84, 084002, 2011. info
  • J. Kovář, O. Kopáček, V. Karas, Z. Stuchlík. Off-equatorial orbits in strong gravitational fields near compact objects?II: halo motion around magnetic compact stars and magnetized black holes. Class. Quantum Grav. 27, 135006, 2010. info
  • O. Kopáček, V. Karas, J. Kovář, Z. Stuchlík. Transition from regular to chaotic circulation in magnetized coronae near compact objects. Astroph. Journal 722, 1240, 2010. info
  • J. Kovář, Z. Stuchlík, V. Karas. Off-equatorial orbits in strong gravitational fields near compact objects. Class. Quantum Grav. 25, 095011, 2008. info
  • S. Sengupta. Charged particle trajectories in a toroidal magnetic and rotation-induced electric field around a black hole. Int. Journal of Modern Phys. D 6, 591, 1997. info
  • J. M. Aguirregabiria et al. Equilibrium of a charged test particle in the Kerr - Newman spacetime: force analysis. Class. Quantum Grav. 13 2179, 1996. info
  • S. Sengupta. General relativistic effects on the induced electric field exterior to pulsars. Astroph. Journal 449, 224, 1995. info
  • V. Karas, D. Vokrouhlický. Chaotic motion of test particles in the Ernst space-time. Gen. Relativity and Grav. 24, 729, 1992. info
  • S. Chandrasekhar. The mathematical theory of black holes. New York: Oxford University Press, 1983. info
  • K. S. Thorne, D. Macdonald. Electrodynamics in Curved Spacetime - 3+1 Formulation. Royal Astron. Soc. Monthly Notices 198, 339, 1982. info
  • J. A. Petterson. Stationary axisymmetric electromagnetic fields around a rotating black hole. Phys. Review D 12, 2218, 1975. info
  • R. M. Wald. Black hole in a uniform magnetic field. Phys. Review D 10, 1680, 1974. info
  • J. A. Petterson. Magnetic field of a current loop around a Schwarzschild black hole. Phys. Review D 10, 3166, 1974. info
  • C. W. Misner, K. S. Thorne, J. A. Wheeler:. Gravitation. Freeman, San Francisco, 1973. info
Language of instruction
English
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
Teacher's information
* written test (exercises) - success rate 75% or presentation of the semestral homework in front of the group
* oral exam
The course is also listed under the following terms Summer 2019, Summer 2021, Summer 2022.
  • Enrolment Statistics (Summer 2020, recent)
  • Permalink: https://is.slu.cz/course/fpf/summer2020/UFTFA67