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Introduction to General Relativity (WS14/15)

 

Lecturer

J.Prof. Dr. Harald Ita

 

Dates

  • Lecture: 4 hours, Mon 12-14, Tue 8-10; place SR I, Physik Hochhaus; start: 20.10.2014 (Lecturer: Harald Ita)
  • Tutorial: 2 hours, Mon 14-16; place SR III, Physik Hochhaus; start: 20.10.2014 (Tutor: Felix Anger) 

    (Please register during the early lectures.)

  • Exam (written): Seminarraum GMH, Fr 8-10, 13.2.2015

  • Nachklausur (written): SRIII Physikhochhaus, 27.2.2015, 9:00-11:00

Problem Sets for Tutorial

Exercise 1.

Exercise 2.

Exercise 3.

Exercise 4.

Exercise 5.

Exercise 6.

Exercise 7.

Exercise 8.

Exercise 9.

Exercise 10.

Exercise 11.

Exercise 12.

Exercise 13.

Exercise 14.

Content

  • Special relativity and flat spacetime
  • Curved spacetimes and their mathematical description (tensors, manifolds, curvature)
  • Gravity and its physics in curved spacetimes
  • Special solutions to Einstein's equations (Schwarzschild solution, cosmology)
  • Perturbation theory and gravitational radiation 

For Bachelor-Students

 The lecture is suitable as supplementary or elective course; Wahlpflicht- bzw. Wahlbereich.

Prerequisits

Electrodynamics and Special Relativity

 Requirements for Academic Record

  • active and regular participation in the tutorials, including solutions to 50% of the homework problems.
  • in case an exam ( "Prüfungsleistung")  is required, a written/oral exam will be offered. Prerequisite is the successful participation in the tutorials.

Further details will be given in the lecture/tutorials.

 


Textbooks

  • Weinberg: "Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity"
  • Sean M. Carroll: "Spacetime and Geometry" 
  • R.U. Sexl / H.K. Urbantke: "Gravitation und Kosmologie"
  • C.W. Misner / K.S. Thorne / J.A. Wheeler: "Gravitation"

 More advanced Textbooks

  • H.J. Dirschmid: "Tensoren und Felder"
  • R.M. Wald: "General Relativity"
  • R.D. Feynman: "Feynman Lectures On Gravitation"
  • Nakahara: "Geometry, Topology and Physics"
 Online lecture notes

 

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