Dirac Talks: Einstein's Equations, Curvature, and the Hilbert Action - I
This week I will start with a brief introduction of the Einstein Equations. From here, I will introduce the concepts of parallel transport and geodesic deviation, and ultimately use them to motivate a discussion of the Riemann curvature tensor. I will also provide a brief discussion and description of the stress-energy tensor. Finally, time provided, this will allow us to return to the discussion of the Einstein-Equations and motivate the form for the Einstein-Hilbert Action. Looking forward, this will motivate a discussion of how the action may be modified to include torsion, and the results of doing so.