A note on the Einstein equation in string theory
arXiv:hep-th/9705062 · doi:10.1142/S0217732301003176
Abstract
We show, using purely classical considerations and logical extrapolation of results belonging to point particle theories, that the metric background field in which a string propagates must satisfy an Einstein or an Einstein-like equation. Additionally, there emerge restrictions on the worldsheet curvature, which seems to act as a source for spacetime gravity, even in the absence of other matter fields.
12 pages, RevTex, no figures