I have a question about gauges in gravity.(adsbygoogle = window.adsbygoogle || []).push({});

Symmetric tensor field in four dimensions has 10 independet components, when we want to describe massless spin-two field (graviton) we impose harmonic gauge which reduces 10 independet components to 6 and afterwards we use diff invariance and eventually go down from 6 to 2 independet components. And all this happens with harmonic gauge.

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What is a transverse-traceless gauge?

Transverese means d_mu (h_mu_nu)=0 and this puts constraints on 4 components out of initial 10 components of symmetric tensor...

Traceless means Tr (h_mu_nu)=0 and this puts constraint on 1 component....

So TT gauge puts constraints 5 constraints on 10 components of symmetric tensor field.... and what to do next how to reduce to 2 components to describe graviton .... how do i cast TT gauge in the same sense as i did for harmonic gauge above... ?

Thank you

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# Question about transverese-traceless gauge in gravity

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