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Can someone tell me why gravitational waves are always decomposed in spin weighted spherical harmonics with spin weight -2 ?

I'm assuming you can hand wave the answer with something to do with the 'graviton' being a spin 2 particle but this isn't very satisfying to me.

Are there any other decompositions? Why not just regular spherical harmonics?

On a more basic level, why is it advantageous to decompose anything into spherical harmonics?

Is it just another analysis you can perform to get more insight into the physics such as what 'poles' there are.

i.e. mono, di, quad, etc...

Or is it also supposed to simplify the algebra too?

Many thanks in advance!

Sebastian

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# Gravitational waves decomposition

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