Introduction to GR for Self-Study

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Discussion Overview

The discussion centers on recommendations for self-study resources in General Relativity (GR), specifically seeking books that provide conceptual clarity and appropriate mathematical prerequisites. Participants share their experiences and suggest various texts to aid in understanding GR alongside foundational mathematics.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant requests suggestions for books similar to "Space-Time Physics" by Wheeler and Taylor that facilitate self-study alongside Schutz's GR.
  • Another participant recommends "Hartle, Gravity" and notes that "Exploring Black Holes" by Taylor & Wheeler serves as a sequel to "Space-Time Physics."
  • A question is raised regarding the level of mathematics required for studying GR, specifically whether knowledge of calculus from Thomas and Finney and parts of ML Boas is sufficient.
  • It is suggested that multivariable calculus is adequate for Hartle, as full tensor formulation is not introduced until later chapters, and that Boas contains helpful material on tensors.
  • In response to a query about Schutz, it is mentioned that Schutz provides necessary mathematical foundations early on and that reviewing linear algebra and tensor chapters in Boas could be beneficial for understanding the physics more efficiently.
  • Additional book recommendations include "A Traveller's Guide to Spacetime" for special relativity and "The Einstein Theory of Relativity" by Lillian Lieber for general relativity, which also covers basic tensors and covariant differentiation.
  • Participants suggest progressing to Hartle and Schutz after these initial texts.

Areas of Agreement / Disagreement

Participants generally agree on the recommended texts for self-study in GR and the sufficiency of certain mathematical backgrounds, though specific prerequisites and approaches may vary among suggestions.

Contextual Notes

There is an implicit assumption that participants have a foundational understanding of calculus and some exposure to linear algebra and tensors, but the exact requirements may vary based on individual learning preferences and backgrounds.

Who May Find This Useful

Individuals interested in self-studying General Relativity and seeking guidance on appropriate resources and mathematical prerequisites.

ashrag
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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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