Evolution of Vacuum Bubbles Embeded in Inhomogeneous Spacetimes
  We study the propagation of bubbles of new vacuum in a radially inhomogeneous
background filled with dust or radiation, and including a cosmological
constant, as a first step in the analysis of the influence of inhomogeneities
in the evolution of an inflating region. We also compare the cases with dust
and radiation backgrounds and show that the evolution of the bubble in
radiation environments is notably different from that in the corresponding dust
cases, both for homogeneous and inhomogeneous ambients, leading to appreciable
differences in the evolution of the proper radius of the bubble.
