How did Bondi derive his radiating line element?

[btphysics]

Hello,
Some knows how to Bondi deduce his radiating line element? I read some papers and there isn't any hint about hit.

Best regards

 

[Bill_K]

There's not much to it. Have you looked at http://relativity.livingreviews.org/open?pubNo=lrr-2012-1&page=articlesu4.html?

 

[btphysics]

Thanks of your time with this question. My problem is that Bondi metric has de following form:



$ds^2= (\frac{V}{r} e^{2\beta}-U^2r^2e^{2\gamma})du^2 + 2e^{2\beta} dudr+ 2Ur^2 e^{2\gamma} du d\theta -r^2 (e^{2\gamma} d\theta^2 + e^{-2 \gamma} sin^2 \theta d \phi^2)$



All these g01,g00,... are function of u,r,θ. And the form of these coeficients is to preserve the signature and for later convenience, as came on his paper http://rspa.royalsocietypublishing.org/content/269/1336/21 . But it is not clear about the chosen form, and I couldn´t understand how he derived this coeficients.

Wiht best regards.