# shortcut to black holes

10 Feb 2021Both the Schwarzschild solution as well as gravitational waves are vacuum solutions. Could you derive both from the Bianchi-identity without using the field equation reduced to \(R_{\mu\nu}=0\)?

Both the Schwarzschild solution as well as gravitational waves are vacuum solutions. Could you derive both from the Bianchi-identity without using the field equation reduced to \(R_{\mu\nu}=0\)?