When did Albert Einstein publish the field equations?
Albert Einstein published the field equations in November 1915. The final version appeared on the 20th of December 1915 during a series of lectures at the Prussian Academy of Sciences in Berlin.
Questions about Einstein field equations
Short answers, pulled from the story.
What tensors do the Einstein field equations relate to each other?
The core equation relates two symmetric 4x4 tensors containing ten independent components. It balances the Einstein tensor describing local curvature against the stress-energy tensor representing mass and pressure.
Why did Albert Einstein add the cosmological constant term to his equations?
Einstein added the cosmological constant later to force a static universe model before Edwin Hubble showed the universe was expanding. He later remarked that adding the term was his biggest blunder because observations now show an accelerating expansion of space requiring a positive value.
How many independent equations result from the Bianchi identities in general relativity?
Four Bianchi identities reduce the ten independent components of the symmetric 4x4 tensors to six independent equations. The remaining degrees of freedom allow coordinate system choices while preserving physical consistency.
Which solutions describe rotating black holes and expanding universes in general relativity?
Nontrivial examples include the Schwarzschild solution and the Kerr solution which describe rotating black holes and expanding universes. Flat Minkowski space serves as the simplest vacuum solution for spacetime.