Teleparallel Newton–Cartan gravity
Philip K. Schwartz
Abstract
Abstract We discuss a teleparallel version of Newton–Cartan gravity. This theory arises as a formal large-speed-of-light limit of the teleparallel equivalent of general relativity (TEGR). Thus, it provides a geometric formulation of the Newtonian limit of TEGR, similar to standard Newton–Cartan gravity being the Newtonian limit of general relativity. We show how by a certain gauge-fixing the standard formulation of Newtonian gravity can be recovered.
Topics & Concepts
PhysicsGeneral relativityNewtonian limitLimit (mathematics)Newtonian fluidGauge (firearms)Mathematical physicsGravitationClassical mechanicsTheoretical physicsMathematical analysisArchaeologyMathematicsHistoryCosmology and Gravitation TheoriesBlack Holes and Theoretical PhysicsRelativity and Gravitational Theory