The wall energy-momentum tensor is computed to next-to-next-to-leading order in the wall width, with a decomposition that assigns the potential barrier to the wall.
Thin and thick bubble walls II: expansion in the wall width
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We study the dynamics of a cosmological bubble wall beyond the approximation of an infinitely thin wall. In a previous paper, we discussed the range of validity of this approximation and estimated the first-order corrections due to the finite width. Here, we introduce a systematic method to obtain the wall equation of motion and its profile at each order in the wall width. We discuss in detail the next-to-next-to-leading-order terms. We use the results to treat the growth of spherical bubbles and the evolution of small deformations of planar walls.
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Thin and thick bubble walls III: wall energy
The wall energy-momentum tensor is computed to next-to-next-to-leading order in the wall width, with a decomposition that assigns the potential barrier to the wall.