Relativity and Cosmology I14756.2015 Winter term 2022/23
This course will be given in a hybrid format. The lectures are
available online here. For convenience we will republish the material on this page weekly on
Monday and Wednesday.
Master core course within the Primary Area of Specialization GRQFT 
Lectures
ThanksLecture notes
A script of the lecture notes for the first six chapters can be found here. The password will be sent by email.Script is under construction; additional sections will be added as soon as they are available.
Exercise classes
Exercise classes will be given on Thursdays. Please show up on October 20 at the time of your choice (14:00 or 16:00). Perhaps we have to redistribute the participants in case that too many people have chosen one class (and too little the other classes). For those of you who haven't attended this week's class, please join the second group (16:00) as there are free spots there.The solutions of the exercise sheets can be found here. The password will be sent by email.
Start:  Oct 20 
Time and place: 
Exercise class I:
14:00–15:30
Tutor: Tatevik Vardanyan (tatevik@thp.unikoeln.de); seminar room (old building) 
Exercise class II:
16:00–17:30
Tutor: Mauricio Ortiz Torres (mortizto@smail.unikoeln.de); seminar room (old building) 

Exercise class III:
14:00–15:30
Tutor: Blanca Hergueta (bherguet@smail.unikoeln.de); room 0.02 (new building) 
Exercise sheets
New exercise sheets will be released each Thursday and can be downloaded below. The exercises have to be submitted one week later in the class (one solution sheet per a group of up to two students). The exercises will be discussed on the specified date on the sheet and below.Exercise  Release  Submit  Discuss  Remark 

Sheet 1  Oct 20, 2022  Oct 27  Nov 3  
Sheet 2  Oct 27  Nov 3  Nov 10  
Sheet 3  Nov 3  Nov 10  Nov 17  
Sheet 4  Nov 10  Nov 17  Nov 24  
Sheet 5  Nov 17  Nov 24  Dec 1  
Sheet 6  Nov 24  Dec 1  Dec 8  
Sheet 7  Dec 1  Dec 8  Dec 15  
Sheet 8  Dec 8  Dec 15  Jan 12, 2023  ver 1.02 
Sheet 9  Dec 15  Jan 12  Jan 19  
Sheet 10  Jan 12  Jan 19  Jan 26  ver 1.01 
Sheet 11  Jan 19  Jan 26  Feb 2 
Criteria for passing the course
 Active participation in the exercise class.
 At least 50 % of the credit points from the exercises.
Literature
 S. Carroll,
Spacetime and Geometry: An Introduction to General
Relativity (AddisonWesley)
The lecture notes, on which this book is based, can be found on arXiv:grqc/9712019, and in html at Caltech  J. B. Hartle, Gravity (AddisonWesley)
 S. Carlip, General Relativity, A Concise Introduction (Oxford University Press 2019)
Further reading
 C. Misner, K. Thorne, J. A. Wheeler, Gravitation (W. H. Freeman)
 R. M. Wald, General Relativity (University of Chicago Press)
 W. Rindler, Relativity: Special, General, and Cosmological (Oxford University Press) (de)
 R. d’Inverno, Introducing Einstein's Relativity (Oxford University Press) (de)
 N. Straumann, General Relativity (Springer) (de)
Contents of the lecture
» Close
 Introduction
 Newtonian Gravity
 Special relativity
 Gravity as geometry
 Differential geometry I: Classic formulation
 Einstein's field equations and their linear approximation
 Gravitational waves
 The Schwarzschild solution
 Geodesics in the Schwarzschild solution
» Close