Calculating Gravitons using Spin Wave Equation and Constraints (1): Explained

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In summary, the equation for graviton is still unknown as it is a theoretical particle that has not been observed. The graviton is believed to be the force carrier for gravity according to the theory of general relativity, but it has not yet been detected. It is not included in the Standard Model of physics and there are alternative theories that attempt to explain gravity without the need for a graviton. However, there is no consensus on which theory is most accurate.
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eljose79
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Could it be calculated that way?..for example take a gravitational classic wave DHab=0, then by proposing a plane wave solution like that
Hab=AabExp(KaXb) being Aab a tensor we would have the constraint..

AabKaXb=0 or expressed in momentum..AabPaPb=0 (1) so i think it would by proposing a 2-spin wave equation with constraint (1)..why is that false?.i do not know.
 
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Maybe I'm just being silly here, but in what step is the field quantized?
 

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