UFDF010 Physical Processes in the Field of Black Holes

Faculty of Philosophy and Science in Opava
Summer 2021
Extent and Intensity
0/0/0. 0 credit(s). Type of Completion: dzk.
Guaranteed by
prof. RNDr. Zdeněk Stuchlík, CSc.
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
Influence of strong gravity in vicinity of black holes on test particles and test fields is presented and some relevant astrophysical applications are discussed.
Syllabus
  • Motion of test particles and fields. Schwarzschild and Kerr geometry, analysis of Carter equations of motion, Metod of effective potentials; influence of electric charge, Reissner-Nordstrom and Kerr-Newman geometry, effective ergosphere, black hole in an external magnetic field; the role of the cosmological constant, cosmological horizon, Schwarzschild-de Sitter and Kerr-de Sitter geometry.
    Physical fields in vicinity of black holes. Test scalar, electromagnetic, gravitational and spinor fields. Newman-Penrose formalism, separability of field equations, superradiant modes.
    Optical effects in the field of black holes. Black holes as gravitational lenses, deflection of light, estimates of the leasing effect, transverse motion of the lense or the source, light curves of hot spots on the surfaře of accretion disis, spektrum of hot spot or many hot spot radiation, profiled spectral lines.
    Gravitational and magnetic effects. Lense-Thirring precession, binary systems and geodesic precession, role of tidal effects in black hole rotation, magnetic effects, Blanford-Znajek process of energy extraction.
Literature
    recommended literature
  • Hawking S.W., Israel W. 300 Years of Gravitation. Cambridge University Press, 1987. ISBN 0-521-34312-7. info
  • Chandrasekhar S. The Mathematical Theory of Black Holes. Clarendon Press, 1983. ISBN 0-226-10100-2. info
  • Rindler W. Essential Relativity. Special, General, and Cosmology. Revised 2nd Edition. Springer-Verlag, 1977. info
  • Lightman A.P., Press W.H., Price R.H., Teukolsky S.A. Problem Book in Relativity and Gravitation. Princeton Univ. Press, 1975. info
  • Misner C.W., Thorne K.S., Wheeler J.A. Gravitation. Freeman and Co, 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
The attendance at lectures is recommended. It can be substituted by
the self-study of recommended literature and individual consultations.
The course is also listed under the following terms Winter 2004, Summer 2005, Winter 2007, Summer 2008, Winter 2008, Summer 2009, Winter 2009, Summer 2010, Winter 2010, Summer 2011, Winter 2011, Summer 2012, Winter 2012, Summer 2013, Winter 2013, Summer 2014, Winter 2014, Summer 2015, Winter 2015, Summer 2016, Winter 2016, Summer 2017, Winter 2017, Summer 2018, Winter 2018, Summer 2019, Winter 2019, Summer 2020, Winter 2020, Winter 2021, Summer 2022.
  • Enrolment Statistics (Summer 2021, recent)
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