General Relativity

WS2020/2021

Lectures: Thur, 09:00-10:00 (synchronous) ; Frid, (originally 12:00-14:00 but asynchronous now); see also the Hochschulportal for last-minute changes to the schedule.

Exercises (synchronous):  Tue, 08:00-09:00. Assigned exercises here. Scanned Lecture Notes here.

Restrictions  imposed by the COVID-19:
 
1. Asynchronous lectures will be recorded and made available every Friday for download together with hand-written lecture notes the exercise assigned (all information will be provided to the students enrolled).
2. Synchronous (“live”) lectures will be held every week on Thur.,  09:00-10:00 (sharp) via zoom to discuss the topics presented and for an answer/question session.  
3. A “registration” is needed to receive the zoom password. Please send an email to Frau Steidl (steidl@itp.uni-frankfurt.de) to request it.
4. A synchronous zoom discussion time will be organised for the exercises on Mon.,  09:00-10:00 and Tue.,  09:00-10:00. Two groups will be organised and work in parallel. The first tutorial will be on 16.11.20.
5. The first meeting to introduce the course will be held on Thur. 05.11.20 from 10:00 to 11:00 (note the unusual time). Registered participants will receive the zoom password from Frau Steidl.

 
Information on the course

This is a first course to general relativity and provides an introduction to the best theory of gravity we presently know. The course also provides an introduction to the mathematical and geometrical tools needed for the formulation of the theory and ultimately for the derivation of the Einstein equations. The first part of the course will concentrate on the mathematical aspects of differential geometry and of tensor calculus. A second part of the course will provide an introduction to special relativity and to the definition of the building blocks of the theory: metric and curvature tensors. The final part of the course will concentrate on the derivation of the Einstein equations and on the study of some exact solutions. A series of compulsory exercises parallels the course. This course is propaedeutic to the “Advanced General Relativity” that will normally be offered in a following semester.

The final exam will be oral and the successful attendance of the exercises  is a prerequisite to be admitted to the oral exam.