Is there any mathematically detailed GR book?

[yicong2011]

I think I need a detailed GR book especially in Mathematics, since that is too unfamiliar to me.

I want to see examples on how to calculate Christoffel Symbols via metric, how to calculate Riemann Curvature Tensor with coordinate component and tetrads.

And even more, the detailed mathematical process to get Schwarzschild Solution, R-N solution and Kerr solution.

I think R.Wald's Book and Minsner, Wheeler, Thorne's Book do not include enough mathematical details for me to read, though they are elegant in concept. B. Shutz's book does not contain enough materials, though easier to read.

Anyone has any recommendations? Thank you.

 

[edgepflow]

bcrowell suggested some good ones in:

https://www.physicsforums.com/showthread.php?t=463583

Also try "Relativity DeMystified" - good up to and including the point of developing the field equations.

 

[yicong2011]

bcrowell suggested some good ones in:

https://www.physicsforums.com/showthread.php?t=463583

Also try "Relativity DeMystified" - good up to and including the point of developing the field equations.

Thanks, any other suggestions/options?

 

[edgepflow]

"Introduction to General Relativity" by Walecka is good.

He shows detailed calculations for all 64 Chrisoffel Symbols in the Schwarzschild solution.

Best bet is to buy this book used in paperback (this is what I did).

 

[bcrowell]

I don't understand what you mean by "mathematically detailed." Do you mean that you need more introductory material to explain the mathematics being used in a book like Wald? The stuff you list in #1 *is* in books like Misner, Thorne, and Wheeler.

 

[yicong2011]

I don't understand what you mean by "mathematically detailed." Do you mean that you need more introductory material to explain the mathematics being used in a book like Wald? The stuff you list in #1 *is* in books like Misner, Thorne, and Wheeler.

What I mean is that I need more details in calculation...

 

[atyy]

http://www.blau.itp.unibe.ch/lecturesGR.pdf

 

[Daverz]

Maybe what you need now is the Problem Book.

 

[neo86]

My favourite book is Einstein's General Theory of Relativity: With Modern Applications in Cosmology by gron and hervik. (especially if you like tetrads)