Hi there, Im reading about inflation, perturbations and so on, and every book I read take the SVT decomposition as granted. Something like "every perturbation can be decomposed in Scalar, Vector and Tensor perturbations". I have 2 questions:(adsbygoogle = window.adsbygoogle || []).push({});

1) What is the definition of a Scalar, Vector and Tensor perturbation? is it just a perturbation that can be written with just 1 function (Scalar) 4 functions (Vector) and 16 functions (Tensor)? or it has to behave in some why when changing coordinates? Are the numbers I wrote right or they are 1, 3 and 9 (just the space components)?

2) Why every perturbation can be wrote as a sum of Scalar, Vector and Tensor perturbations?

Thanks!

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# SVT decomposition

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