Is it possible that the metric tensor g(adsbygoogle = window.adsbygoogle || []).push({}); _{mn}consist of functions of complex variables?

Let say you have a system with stress energy tensor T_{mn}and consider g_{mn}=V dt^{2}+W dr^{2}. Is it possible that the solution W or V turn out to be a complex function? And how do we interpret this complex metric tensor? Does the imaginary part have any physical meaning or should we just use take the real part of it?

Thanks.

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# Complex space time?

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