'Symmetrisation Notation' - What is it?

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SUMMARY

The discussion focuses on the symmetrisation notation as presented in the book by Hobson, Efstathiou, and Lasenby, specifically in the context of equation (17.62). The notation involves terms like ∂_{(\mu} h^{\rho}_{\nu)}, indicating that the indices within the parentheses are totally symmetrized. The formula ∂(μhρν) = ½(∂μhρν + ∂νhρμ) illustrates this symmetrisation process. This notation is crucial for understanding the manipulation of tensor equations in the context of general relativity.

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I'm reading Hobson, Efstathiou and Lasenby, where on page 490, some notation is used that I am not familiar with.

In the rather long equation (17.62), some terms contain things like

\partial_{(\mu} h^{\rho}_{\nu)}.

The author(s) then says "where we have made use of the symmetrisation notation discussed in Chapter 4."

I've tried looking in Chapter 4 but it's not at all clear what is going on, so I came here :)
 
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The indices within the parentheses are understood to be totally symmetrized. So

hρν) = ½(∂μhρν + ∂νhρμ)
 
Thanks Bill_K!
 

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