We study the Metropolis dynamics of a simple spin system without disor
der, which exhibits glassy dynamics at low temperatures. We use an imp
lementation of the algorithm of Bortz, Kalos and Lebowitz [1]. This me
thod turns out to be very efficient for the study of glassy systems, w
hich get trapped in local minima on many different time scales. We fin
d strong evidence of aging effects at low temperatures. We relate thes
e effects to the distribution function of the trapping times of single
configurations.