Solved Problems
Relativity Demystified


Lots of Calculations in GR

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.

Lots of calculations in General Relativity Chapter 2 - The metric Tensor Chapter 3 - Four velocity and Four vectors Chapter 4 - Christoffel symbols, geodesic equations and killing vectors Chapter 5 - Covariant derivative, Lie derivative and Killing's equation Chapter 6 - The Riemann and Ricci tensor Chapter 7 - Cartans' structure equations - a shortcut to the Einstein tensor Chapter 8 - The Einstein Field Equation Chapter 9 - The Energy Momentum Tensor Chapter 10 - The Null Tetrad and Petrov Classification Chapter 11 - The Schwarzschild Solution Chapter 12 - Black Holes and Massive Stars Chapter 13 - Cosmology Chapter 14 - Gravitational waves Appendix A: Tensor Calculus Appendix B: Collection of Results

Relativity demystified - Errata sheet

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:

Errata sheet


Sean Carrol: The Biggest Ideas in the Universe

Sabine Hossenfelder: Science without the gobbledygook


Houston we have a podcast

Sean Carrol:

Quanta Magazine: The Joy of x
‎The Joy of x on Apple Podcasts


Textbooks etc.

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)

10.12.2023 -
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