FPF:UFTF517 Compact objects with magnetic - Course Information

UFTF517 Compact objects with magnetic fields

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

Timetable

Thu 8:05–9:40 PED2

• Timetable of Seminar Groups:

UFTF517/A: Thu 9:45–10:30 PED2, J. Kovář

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

• Theoretical Physics (programme FPF, N1701 Fyz)

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

Czech

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

• Enrolment Statistics (recent)
  
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