I am working on the weak gravitational field by using linearized einstein field equation. What if the metric tensor, h(adsbygoogle = window.adsbygoogle || []).push({}); _{αβ}turn out to be a complex numbers? What is the physical meaning of the complex metric tensor? Can I just take it's real part?

Or there is no such thing as complex metric tensor and my system is not physically make sense?

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# Complex Metric Tensor

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