Adler's New Book on Relativity: Misprint on Page 16?

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Discussion Overview

The discussion revolves around potential misprints in Adler's new book on relativity, specifically focusing on page 16 and equation 4-16 on page 39. Participants explore the implications of these misprints on the understanding of the Lorentz and Minkowski metrics, as well as the distinction between covariant and contravariant components in the context of the text.

Discussion Character

  • Debate/contested
  • Technical explanation
  • Conceptual clarification
  • Homework-related

Main Points Raised

  • One participant questions whether the Lorentz metric is correctly represented as diag (-1,-1,-1,-1) on page 16, suggesting it may be a misprint.
  • Another participant points out that the Minkowski metric is typically written as either diag(+1,-1,-1,-1) or diag(-1,+1,+1,+1), indicating a possible misunderstanding of terminology.
  • Some participants agree that the term "Lorentz metric" is not commonly used for the Minkowski metric, expressing surprise at this nomenclature.
  • Concerns are raised about multiple misprints throughout the book, including a specific issue with equation 4-16, which may incorrectly refer to contravariant components instead of covariant components.
  • One participant emphasizes the importance of understanding the conventions used in the book, noting that different conventions may lead to confusion regarding the signs of metrics.
  • Another participant provides a link to contact the author for clarification on the misprints and terminology used in the book.
  • A participant explains the definitions of covariant and contravariant components, asserting that lower indices indicate covariant components.

Areas of Agreement / Disagreement

Participants express varying opinions on the terminology and correctness of the metrics presented in the book. While some agree that there are misprints, particularly regarding the use of "contravariant" in equation 4-16, there is no consensus on the implications of these misprints or the terminology used for the metrics.

Contextual Notes

Participants note that the discussion is complicated by differing conventions in the literature regarding metric signatures and the definitions of covariant and contravariant components. Additionally, there are references to earlier works by Adler that may influence the interpretation of the current text.

  • #31
Thank you again for your clarification earlier where you copied the relevant sections from Adler, General Relativity and Cosmology, in your first post. in the future, I will be mindful of you, and the other reader's time, and effort and I will include specific titles, and characteristic information.

Cheers.
 
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  • #32
malawi_glenn said:
@mpresic3 I would also ask the publisher for a refund or something. It is free to ask.
Against this they legally protect themselves:
The use of general descriptive names, registered names, trademarks, service marks, etc. in this
publication does not imply, even in the absence of a specific statement, that such names are exempt from
the relevant protective laws and regulations and therefore free for general use.
The publisher, the authors and the editors are safe to assume that the advice and information in this
book are believed to be true and accurate at the date of publication. Neither the publisher nor the
authors or the editors give a warranty, expressed or implied, with respect to the material contained
herein or for any errors or omissions that may have been made. The publisher remains neutral with regard
to jurisdictional claims in published maps and institutional affiliations.
 
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  • #33
Here is a an interesting side note regarding the textbook, Introduction to General Relativity, by Adler, Bazin, and Schiffer. In Chaper 8, on page 235 of the 1965 edition the authors, write:
"It will be convenient in this chapter to use Minkowski coordinates ict, x, y, z, in place of the usual coordinates in special relativity. In this coordinate system, the Lorentz metric has the simple form"

( The matrix shown in equation 8.2 is diag(-1,-1,-1,-1) )

The equation 8.2 that follows give the metric as negative of the Kronecker delta, as the authors themselves state in the next sentence.

This time, of course, there is no misprint. The context of the presentation where they specify the coordinates is important.

The use of coordinate ict seems to be far less popular, nowadays.

I'm not trying to re-open the thread and generate further discussion. I think it has been discussed thoroughly.
 
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