Here you find all sorts of calculations in general relativity- Riemann tensor, Ricci tensor, Ricci scalar, Einstein tensor et cetera - concerning different metrics: Kahn Penrose, Rindler, Tolman-Bondi, Robertson-Walker, Brinkmann and Schwarzschild. The file is constantly renewed. At the end of each chapter I have added a list of textbooks as a reference, which you might find useful.
Here I present my errata sheet for David McMahons book: Relativity Demystified. If the misprint is marked by an asterix (*) it means that you can find a more thorough presentation in my file ‘lots of calculations’ on this page. The list is not complete, but I will post more on my homepage as I get along (look out for the date). I have made this list entirely on my own, and should you find that I have made something wrong or missed something, which I am bound to, please do not hesitate to contact me: mailto:logik.susan@gmail.com
Sean Carrol: The Biggest Ideas in the Universe
Sabine Hossenfelder: Science without the gobbledygook
Houston we have a podcast
Sean Carrol: Mindscape
https://www.preposterousuniverse.com/podcast/
Quanta Magazine: The Joy of x
The Joy of x on Apple Podcasts
Misner, Thorne, Wheeler: Gravitation (2017)
Choquet-Bruhat, Y: Introduction to General Relativity, Black Holes and Cosmology (2016)
Farmelo, Graham: The Strangest Man (2009)
McMahon, David: Relativity Demystified (2006)
Penrose, Roger: The Road to Reality (2004)
Hartle, James B: Gravity - An Introduction to Einsteins General relativity (2003)
Nasar, Sylvia: A Beautilful Mind (2001)
Wheeler, John Archibald: Geons, Black Holes & Quantum Foam (1998)
d, Inverno, Ray: Introducing Einsteins Relativity (1992)
Kay, David: Tensor Calculus (1988)