0.0 0.5 1.0 1.5 2.0 0.2 0.4 0.6 0.8 1.0 Hr f ( r ) $^{f}$∞ 0.0 0.5 1.0 1.5 2.0 0.2 0.4 0.6 0.8 1.0 rC ( r ) L Hr 0.5 1.0 1.5 2.0 GLYPH<Minus>$_{3}$ GLYPH<Minus>$_{2}$ GLYPH<Minus>$_{1}$ 1 Hr log ( HB ( r ) 0.0 0.5 1.0 1.5 2.0 0.5 1.0 1.5 Hr B ′ ( r ) HB ( r ) FIG. 4: The numerical solutions for the scalar modulus (top left), the KK radion modulus (top right), the de Sitter slice radius (bottom left), and its derivative (bottom right). We express r in units of the AdS radius 1 /H . Dashed red lines represent the pure compactification solution of Eqs. (30 - 31), which shares the conformal boundary with the bubble solution. The Euclidean action of this solution is given by which is similar to the analogous action for Witten: S$_{B}$ = 2 π $^{3}$L$^{3}$/κ2 ≈ 6 . 2 × 10 $^{4}$. As seen in Fig. (5), the solution resembles that of Witten on scales smaller than H − $^{1}$, but then asymptotes to the AdS compactification far from the bubble. S$_{B}$ = S$_{E}$ [bubble] − S$_{E}$ [compactification] ≈ 6 . 4 × 10 4 , (44) 11