We use the Coulomb gauge, which is consistent with spherical spatial symmetry, giving the equa- tions for W ( r, t ) and A ( r, t ): with solutions for each value of r From Eq.(22) and the gauge condition (24), one obtains differential equations for W $^{t}$( r, t ) and W $^{j}$( r, t ). By combining them one finds that the Higgs and Stop fields are disconnected, and obtains an e.o.m. for the functions W$_{r}$ ( t ) and A$_{r}$ ( t ) We proceed by 1) finding initial conditions and numerical solutions to Eq.(26) for W(t) for a series of r-values, 2) fitting a function to these values, and 3) finding the function which is used in Eq.(27) to obtain an approximate solution for A(t) and thereby A(r,t), using Eq.(25). In Figure 1 W$_{r}$ ( t ) is given for various values of r, and the time for the creation of the bubble wall is clearly seen. In Figure 2 similar results are shown for A$_{r}$ ( t ). Note that near the bubble wall A em becomes infinite and has an instanton-like behavior Away from the surface A(t) becomes smaller than this instanton-like solution. From Figure 2 one observes that the time at which one reaches the radius of the wall bubble is given approximately by from which we obtain the nucleation velocity of the bubble wall. This is an important result in our work on magnetic field generation and evolution, as well as our recent 3 ∑ j =1 ∂$_{j}$W j = 3 ∑ j =1 ∂$_{j}$A j = 0 or r∂$_{r}$W ( r, t ) + 3 W ( r, t ) = 0 , (24) W ( r, t ) = W$_{r}$ ( t ) r 3 A ( r, t ) = A$_{r}$ ( t ) r 3 . (25) W ′′ r ( t ) − 3 t r $_{2}$W ′ $_{r}$( t ) + 3 r $_{2}$W$_{r}$ ( t ) + g t 2 − r 2 r 3 W$_{r}$ ( t ) (26) ( 1 t W ′ $_{r}$( t ) − 3 r $_{2}$W$_{r}$ ( t )) = 0 A ′′ $_{r}$( t ) − 3 t r $_{2}$A ′ $_{r}$( t ) + 3 r $_{2}$A$_{r}$ ( t ) + G t 2 − r 2 r 3 W$_{r}$ ( t ) (27) ( 1 t W ′ $_{r}$( t ) − 3 r $_{2}$W$_{r}$ ( t )) = 0 H ( t ) = t 2 − r 2 r 3 W ( t )( 1 t W $^{′}$( t ) − 3 r $_{2}$W ( t )) , (28) A ( r, t ) |$_{r}$$_{≃}$$_{r}$$_{wall}$ ≃ A$_{W}$ (( r 2 − t $^{2}$) + ζ $^{2}$)2 . (29) t ≃ 2 r , (30) v wall ≃ c 2 . (31) 5 FIG. 1: The function W$_{r}$ ( t ) for various values of r 1 2 3 4 5 t GLYPH<LParen1> r$_{GLYPH<Equal>}$2. GLYPH<RParen1> 10 20 30 40 50 60 W2 GLYPH<LParen1> t GLYPH<RParen1> 1 2 3 4 5 6 7 t GLYPH<LParen1> r$_{GLYPH<Equal>}$3.0 GLYPH<RParen1> 10 20 30 40 50 60 W3 GLYPH<LParen1> t GLYPH<RParen1> 2 4 6 8 10 t GLYPH<LParen1> r$_{GLYPH<Equal>}$4.0 GLYPH<RParen1> 10 20 30 40 50 60 70 W4 GLYPH<LParen1> t GLYPH<RParen1> 2 4 6 8 10 12 t GLYPH<LParen1> r$_{GLYPH<Equal>}$5. GLYPH<RParen1> 10 20 30 40 50 60 W5 GLYPH<LParen1> t GLYPH<RParen1>