FPF:FPFVA031 Black Holes in Multidimensiona - Informace o předmětu

FPFVA031 Black Holes in Multidimensional Spacetimes

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

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

• Angličtina (dvouoborové) (program FPF, N7310 Filo)
• Angličtina (jednooborové) (program FPF, N7310 Filo) (2)
• Archeologie (program FPF, N7109 Arch)
• Audiovizuální tvorba (program FPF, N8203 DrUm)
• Historie (program FPF, N7105 HiVe)
• Historie-muzeologie (program FPF, N7105 HiVe)
• Informační a knihovnická studia (program FPF, N7201 InSK) (2)
• Informatika a výpočetní technika (program FPF, N1801 Inf)
• Knihovnictví se zaměřením na veřejné knihovny komunitního typu (program FPF, N7201 InSK) (2)
• Kulturní dědictví v regionální praxi (program FPF, N7106 HiSt)
• Kulturní dějiny (program FPF, N7105 HiVe)
• Němčina (dvouoborové) (program FPF, N7310 Filo)
• Němčina (jednooborové) (program FPF, N7310 Filo) (2)
• Ochrana kulturního dědictví (program FPF, N7105 HiVe)
• Počítačová fyzika (program FPF, N1701 Fyz)
• Teoretická fyzika (program FPF, N1701 Fyz)
• Učitelství němčiny pro střední školy (program FPF, N7504 UcSS)
• Učitelství - společný základ pro navazující studium (program FPF, N7504 UcSS)

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.

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