General relativity as a special case of Poincaré gauge gravity
Yuri N. Obukhov, Friedrich W. Hehl
Abstract
We demonstrate that Einstein's general relativity theory arises as a special case in the framework of the Poincar\'e gauge theory of gravity under the assumption of a suitable nonminimal coupling of matter to the Riemann-Cartan geometry of spacetime.
Topics & Concepts
General relativityPhysicsMathematics of general relativityTheoretical physicsSpacetimePoincaré conjectureMathematical physicsRiemann hypothesisIntroduction to the mathematics of general relativityGauge theoryEinsteinGauge (firearms)Classical mechanicsMathematicsNumerical relativityQuantum mechanicsMathematical analysisHistoryArchaeologyBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesRelativity and Gravitational Theory