Space-time fluctuations and a stochastic Schr\"odinger-Newton equation
  We propose a stochastic modification of the Schr\"{o}dinger-Newton equation which takes into account the effect of extrinsic spacetime fluctuations. We use this equation to demonstrate gravitationally induced decoherence of two gaussian wave-packets, and obtain a decoherence criterion similar to those obtained in the earlier literature in the context of effects of gravity on the Schr\"{o}dinger equation. 
Sayantani Bera, Priyanka Giri and Tejinder P. Singh
quant-ph gr-qc