- #1

Sciencemaster

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- TL;DR Summary
- The Schwarzschild metric is designed with a cosmological constant in mind. Would it be feasible to make some modifications to it that would make it apply in a spacetime with a nonzero Λ?

So, there are a fair amount of metrics designed with a zero value for the cosmological constant in mind. I was wondering if there was some method to modify metrics to account for a nonzero cosmological constant. Say, for instance, the Schwarzschild metric due to its relative simplicity. A feature of the metric is that it has a stress-energy tensor of 0 due to both the ricci tensor and scalar curvature going to 0. However, this doesn't happen if the cosmological constant is nonzero. So, would there be a way to modify a metric to account for a nonzero cosmological constant while keeping fundamental features intact--in this case, the 0 stress energy tensor and general form of the Schwarzschild metric? I tried multiplying by a constant as well as a few other minor modifications, and none of them gave a SET of 0. So, would it be feasible to make some modification to a metric designed for Λ=0 in order for it to apply when Λ is nonzero while still keeping similar basic properties?