GLYPH<B9>GLYPH<BC>GLYPH<BA>GLYPH<BD> GLYPH<BC> GLYPH<BC>GLYPH<BA>GLYPH<BD> GLYPH<BC>GLYPH<BA>GLYPH<BE> GLYPH<BC>GLYPH<BA>GLYPH<BF> GLYPH<BC>GLYPH<BA>GLYPH<BG> GLYPH<BC>GLYPH<BA>GLYPH<BH> GLYPH<BC>GLYPH<BA>GLYPH<BI> GLYPH<BC>GLYPH<BA>GLYPH<BJ> GLYPH<BC>GLYPH<BA>GLYPH<BK> GLYPH<BC> GLYPH<BD> GLYPH<BE> GLYPH<BF> GLYPH<BG> GLYPH<BH> GLYPH<BI> GLYPH<BJ> GLYPH<BK> GLYPH<BL> φ ( y ) [ M 3 / 2 ∗ ] y [ M − 1 ∗ ] φ$_{0}$$_{.}$$_{035}$ φ$_{0}$$_{.}$$_{14}$ φ$_{0}$$_{.}$$_{337}$ φ$_{0}$$_{.}$$_{53}$ φ$_{0}$$_{.}$$_{653}$ φ$_{0}$$_{.}$$_{696}$ φ$_{0}$$_{.}$$_{703}$ FIG. 2: Nodeless static configurations of the kink scalar field φ , defined by the scalar potential V ( φ ) = − 1 2 | µ $^{2}$| φ 2 + | λ | φ 4 ( µ 2 = 2 M 2 $_{∗}$, λ = 1 M − 1 ∗ ). Configurations with different amplitudes are solutions to different physical problems, corresponding to different stabilization radii of the extra dimension. The vertical dashed line indicates the minimal radius R$_{c}$ , below which nodeless solutions do not exist with this potential. solution, i.e., the maximum value of the nontrivial solution φ$_{A}$ ( y ). Solutions with different amplitudes A generally vanish at different points along the extra dimension, which corre- spond to different possible orbifold radii R (see Fig. 2). However, in order to obtain the stability condition for these solutions it is extremely useful to consider the full family of solutions. The value of the 4D effective energy density of a given static solution φ$_{A}$ ( y ) is where T ( A ) is the length of the solution in the extra dimension. This can be conveniently rewritten as an integral over φ using properties of Eq. (2) and its solutions φ$_{A}$ ( y ) We are now equipped to state the general results of [40, 41] in a slightly modified, although more revealing, version: 5 E ( A $^{$_{) = 2}$√$_{2}$}$∫ A 0 V ( A ) − 2 V ( φ ) √ V ( φ ) V ( A ) dφ . (4) E ( A ) = ∫ T ( A ) 0 ( 1 2 φ ′ A 2 + V ( φ$_{A}$ ) ) dy , (3)