• Lecture Notes on General Relativity [newlecturesGR.pdf]
• Warning: Size ca 8 MB, 1000+ Pages
• Latest Update: July 2025
  • Section 9 on Lie Derivatives: explanations now better reflect how I actually like to think about and teach the subject
  • Sections 44 -- 48 on Kaluza-Klein Theory: overdue update and significant extension

Remarks

• Upon request, these notes have been compiled with a low-key version of hyperref to facilitate navigation inside this (by now somewhat voluminous) document (but I have not provided hyperlinks to external documents).
• Lecture notes of this length unavoidably contain some minor mistakes somewhere (and I will try to correct them in the course of time). However, I hope that these notes are free of major conceptual errors and blunders. I am of course grateful for any corrections and suggestions, and in particular for feedback from the GR community (thank you!).
• I will occasionally make minor additions and (cosmetic) corrections to these notes, but no major additions or updates are foreseen for the time being.
• Older versions of these notes appear to be available from various caches and (more or less dubious) sites on the web. These of course I have no control over. The latest, updated and corrected, version of the notes will always be available from here.
• If you have any comments on these notes, complaints, corrections, or constructive criticism, or also if you just happen to find them useful, please let me know (blau at itp dot unibe dot ch). Thank you!