Question about graviton polarization tensor

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Hi I’m a student, and I started reading Zwiebach’s First Course in String Theory, but I still haven’t learned general relativity, only special relativity, and so I’m having some difficulties in understanding the polarization tensor for the perturbation of the Minkowski metric leading to the graviton. I understand the transverse traceless and symmetry condition, but I got stuck in an issue: shouldn’t a positivity condition be assumed for the off-diagonal symmetric components of the polarization tensor? What does it mean negative off-diagonal components?

Could someone help me with this?

Thanks,
Alessandro
 

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