Classical Gaussian bag in (1+1) general relativity

Relativistic geometric models generated by Gaussian conformally flat (1 + 1) metrics are considered. These metrics are depending on a fixed parameter and another variable parameter that play the role of coupling constant. It is shown that these models are of open bags where the relativistic massive particles remain confined for energies less than the rest one. By using numeric methods it is pointed out that inside of the bag the motion is close to an harmonic one. The dispersion function is also calculated for different values of the free parameter. (C) 2001 Elsevier Science B.V. All rights reserved.