We know that the spacetime of General Relativity with a single electron in otherwise empty space is hardly curved, basically zero. In Kaluza–Klein theory with a single electron in otherwise empty space is there a type curvature due to the charge of a single electron? Is the amount of "curvature" (if that is the right word) of the spacetime of Kaluza–Klein theory with a single electron some how related to the electric potential of a single electron, something like e/R where e is the charge of the electron and R is the distance from the charge? I'm guessing that the electric potential of an electron comes into play in describing the geometry of the space of Kaluza–Klein theory? How complicated is the geometry of a single electron in Kaluza–Klein spacetime? I'm not sure this is the right group, please move if it belongs elsewhere. Thanks for any help!