Tetrad Fields and Spacetime - Comments

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SUMMARY

The discussion centers on the notation of "tetrad indices" in the context of Tetrad Fields and Spacetime. Bill_K raises the question of whether using a distinguishing mark, such as a hat (##T_{\hat{a}\hat{b}}##), is standard or if it implies that the tetrad fields are orthonormal. The conversation highlights the lack of consistency in the notation, particularly noting that ##e_a{}^b## is rarely written as ##e_{\hat{a}}{}^b##. This indicates a need for clarity in mathematical notation within the field.

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This discussion is beneficial for theoretical physicists, mathematicians, and students studying General Relativity, particularly those interested in the nuances of notation and its implications in the field.

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Bill_K submitted a new PF Insights post

Tetrad Fields and Spacetime

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Would writing "tetrad indices" with a distinguishing mark, such as a hat, for instance ##T_{\hat{a}\hat{b}}## be reasonably standard notation, or would it have unwanted implications, such as the ##e_a## being orthonormal? I found myself mentally adding the hats when reading your insight article just to follow it.

Interestingly enough, I don't think I've ever seen ##e_a{}^b## written as ##e_\hat{a}{}^b##, though that would perhaps be more consistent notation.
 

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