(adsbygoogle = window.adsbygoogle || []).push({}); GR with Riemannian (++++) metric?

Neither the Einstein field equations nor the Einstein-Hilbert action requires pseudo-remannian metrc. Is there anything interesting about GR with Riemannian metric? Are there still black holes?

Also, is it possible to find a solution to GR in which the metric is Riemannian in half of the manifold and pseudo-Riemannian in the other half? Joined up like how a black hole and a white hole are joined in Kruskal metric?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# GR with Riemannian ( ) metric?

**Physics Forums | Science Articles, Homework Help, Discussion**