Introduction to GR for Self-Study

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For those seeking books that provide conceptual clarity in space-time physics alongside Schutz's General Relativity, Taylor and Wheeler's "Exploring Black Holes" is recommended as a sequel to "Spacetime Physics." A solid foundation in multivariable calculus is deemed sufficient for understanding Hartle's work, as he introduces tensor formulation gradually. Familiarity with tensors can be enhanced by reviewing relevant chapters in Boas. Schutz also covers necessary concepts early on, making it accessible for self-study. Additional resources suggested include "A Traveller's Guide to Spacetime" for special relativity and "The Einstein Theory of Relativity" by Lillian Lieber, which offers a basic introduction to tensors and covariant differentiation. These texts collectively support a comprehensive understanding of the subject matter.
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Hi
Can someone suggest a book along the lines of "space-time physics"(wheelerand taylor) which gives conceptual clarity to study (self) along with Schutz GR
Thanks
 
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Hartle, Gravity.

Also, Taylor & Wheeler's Exploring Black Holes is a sort of sequel to Spacetime Physics.
 
Also , what level of maths is a prerequisite ? I have studied calculus from Thomas and Finney and parts of ML Boas. Is it enough ? If what texts must I read .What further texts will aid my learning of this book as I plan to self study and don't have a teacher around.
Thanks
 
Multivariable calculus is sufficient for Hartle. He doesn't get into full tensor formulation until the last few chapters. But since you've studied out of Boas, that book has a chapter on tensors which you might find helpful to work through.
 
And for Schutz ?
 
Same really. Schutz teaches you everything you need at the very beginning and works through special relativity in that formalism. It might be helpful to review the linear algebra + tensor chapters in Boas just so you can move through the mathematics at a quicker pace and get to the physics.
 
Special relativity: "A Traveller's Guide to Spacetime"
General Relativity: "The Einstein theory of Relativity" by Lillian Lieber
(the latter has also an excellent basic introduction to classic tensors
and covariant differentiation)

Then move to Hartle and Schutz.
 

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