FPFVA031 Black Holes in Multidimensional Spacetimes

Filozoficko-přírodovědecká fakulta v Opavě
zima 2019
Rozsah
0/1/0. 5 kr. Ukončení: z.
Vyučující
RNDr. Martin Blaschke, Ph.D. (cvičící)
Garance
RNDr. Martin Blaschke, Ph.D.
Filozoficko-přírodovědecká fakulta v Opavě
Rozvrh seminárních/paralelních skupin
FPFVA031/A: St 15:35–16:20 B4, M. Blaschke
Předpoklady
Basic understanding of the general relativity, tensor calculus and Lagrange formalism.
Omezení zápisu do předmětu
Předmět je nabízen i studentům mimo mateřské obory.
Mateřské obory/plány
předmět má 22 mateřských oborů, zobrazit
Cíle předmětu
Introduction to the problematic of higher dimensions in physics. Emphasis is put on the study of black holes as an appropriate tool for testing the influence of additional dimensions on their astrophysical properties.
Osnova
  • 1. Historical and cultural ramifications of the higher dimension hypothesis
    2. First attempts to achieve unification in physics via higher dimensions
    3. Kaluza-Klein theory
    4. Basic black holes in Kaluza?Klein theory
    5. Brans-Dicke theory
    6. Braneworld models
    7. Higher dimensional black holes
    8. ADD and DGP braneworld models
    9. Randall-Sundrum braneworld models
    10. Izrael formalism
    11. Induced Einstein equations on the brane
    12. Braneworld Kerr-Newmann solution and mining instability
Literatura
    doporučená literatura
  • N. A. Obers. Black Holes in Higher-Dimensional Gravity. In E. Pa. Physics of Black Holes, volume 769 of Lecture Notes in Physics, Berlin Springer Verlag. doi: 10.1007/978-3-540-88460-6_6, 2009. info
  • O. Gron and S. Hervik. Einstein's General Theory of Relativity with Modern Applications in Cosmology. Springer Science+Business Media, 2007. info
  • P. S. Wesson. Five-dimensional physics : classical and quantum consequences of Kaluza-Klein cosmology. 2006. info
  • F. Ravndal. Scalar Gravitation and Extra Dimensions. In C. Crons. Gunnar Nordström Symposium on Theoretical Physics. page 151, 2004. info
  • P. Halpern. The great beyond : higher dimensions, parallel universes, and the extraordinary search for a theory of everything. 2004. info
  • M Blagojevic. Gravitation and Gauge Symmetries (Series in High Energy Physics, Cosmology and Gravitation). CRC Press, 2001. ISBN 9780750307673. info
  • R. Maartens. Geometry and Dynamics of the Brane-World. In J. F. Reference Frames and Gravitomagnetism. doi: 10.1142/9789812810021_0008, 2001. info
  • G. Dvali, G. Gabadadze, and G. Senjanovic. Constraints on Extra Time Dimensions. World Scientific Publishing Co, 2000. info
  • F. Larsen. Kaluza-Klein Black Holes in String Theory. In K. Cheu. Particles, Strings and Cosmology. 2000. info
  • M. J. Duff. Kaluza-Klein theory in perspective. 1995. info
  • J. D. Norton. Einstein and Nordström: Some Lesser-Known Thought Experiments in Gravitation. 1993. info
  • A. Pais. Subtle is the Lord. The science and the life of Albert Einstein. 1982. info
  • Ch. H. Hinton. Scientific romances: first and second series. 1976. info
  • C. W. Misner, K. S. Thorne, and J. A. Wheeler. Gravitation. San Francisco: W.H. Freeman and Co., 1973. info
  • H. Carrington and H. Houdini. The physical phenomena of spiritualism, fraudulent and genuine : being a brief account of the most important historical phenomena, a criticism of genuine : being a brief account of the most important historical phenomena, a criticism of their evidential value, and a complete exposition of the methods employed in fraudulently reproducing the same. 1907. info
Vyučovací jazyk
Angličtina
Informace učitele
To obtain credits, at the end of the semester student has to present a short seminar talk,
approximately 20 to 30 minutes long. The topic of the talk related to higher dimensional
physics will be specified by the lecturer or can be suggested by the student her/himself.
Topics can be purely theoretical, or of technical nature. In latter case, the student is basically
presenting her/his solution to some elemental problem complicated by the existence
of the additional dimensions.
Další komentáře
Předmět je dovoleno ukončit i mimo zkouškové období.
Předmět je zařazen také v obdobích zima 2018, léto 2020, zima 2020, léto 2021, zima 2021, léto 2022, zima 2022, léto 2023, zima 2023, léto 2024.