FPFVA031 Black Holes in Multidimensional Spacetimes

Faculty of Philosophy and Science in Opava
Summer 2023
Extent and Intensity
0/1/0. 5 credit(s). Type of Completion: z (credit).
Teacher(s)
RNDr. Martin Blaschke, Ph.D. (seminar tutor)
Guaranteed by
RNDr. Martin Blaschke, Ph.D.
Faculty of Philosophy and Science in Opava
Prerequisites
Basic understanding of the general relativity, tensor calculus and Lagrange formalism.
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
there are 22 fields of study the course is directly associated with, display
Course objectives
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.
Syllabus
  • 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
Literature
    recommended literature
  • 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
Language of instruction
English
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
Teacher's information
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.
The course is also listed under the following terms Winter 2018, Winter 2019, Summer 2020, Winter 2020, Summer 2021, Winter 2021, Summer 2022, Winter 2022, Winter 2023, Summer 2024.
  • Enrolment Statistics (Summer 2023, recent)
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