The Schr\"odinger-Newton equation as non-relativistic limit of   self-gravitating Klein-Gordon and Dirac fields
  In this paper we show that the Schr\"odinger-Newton equation for spherically symmetric gravitational fields can be derived in a WKB-like expansion in 1/c from the Einstein-Klein-Gordon and Einstein-Dirac system. 
Domenico Giulini (1,2), Andr\'e Gro{\ss}ardt (1,2) ((1) ZARM -   University of Bremen - Germany, (2) Institute for Theoretic...
gr-qc quant-ph