# Gravitons from linearized gravity

Linearizing gravity as follows:

$$g_{\mu\nu}=\eta_{\mu\nu}+h_{\mu\nu}$$

Up to this point, everything is a 4x4 matrice.

How does one eventually recover a spin-2 particle which, according to https://en.wikipedia.org/wiki/Spin_(physics), has for basis three 5x5 matrices?

• An even better question is how does this lead to a massless spin-2 particle with 2, not 5, degrees of freedom. – G. Smith Aug 6 at 19:31
• Related, and also. – Cosmas Zachos Aug 7 at 1:22
• This answer may well be helpful. – Cosmas Zachos Aug 13 at 15:15