Symmetric teleparallel general relativity

General relativity can be presented in terms of other geometries besides Ri emannian. In particular, teleparallel geometry (i.e., curvature vanishes) h as some advantages, especially concerning energy-momentum localization and its "translational gauge theory" nature. The standard version is metric com patible, with torsion representing the gravitational "force". However there are many other possibilities. Here we focus on an interesting alternate ex treme: curvature and torsion vanish but the nonmetricity Vg does not-it car ries the "gravitational force" This symmetric teleparallel representation o f general relativity covariantizes (and hence legitimizes) the usual coordi nate calculations. The associated energy-momentum density is essentially th e Einstein pseudotensor, but in this novel geometric representation it is a true tensor.