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From the things I've studied till now, the thought came into my mind that all of the known solutions of Einstein's Field Equations are Lorentzian. Is it correct?
And if it is correct, is there something in EFEs that implies all solutions to it should be Lorentzian?
And the last question, do more general pseudo-Riemannian geometries allow us to define proper causal structure? Are there examples of such theories?
Thanks
And if it is correct, is there something in EFEs that implies all solutions to it should be Lorentzian?
And the last question, do more general pseudo-Riemannian geometries allow us to define proper causal structure? Are there examples of such theories?
Thanks
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