Gauss-Bonnet Braneworld Cosmology with Modified Induced Gravity on the Brane

Table 2

Eigenvalues and the stability regions of the critical points. 𝜍(𝑤_curv), 𝜉(𝑤_curv), and 𝜁(𝑤_curv) are complicated functions of 𝑤_curv. The critical curve 𝐹 for which 𝑤_curv=−1 is a stable de Sitter phase.

Name	Eigenvalue	Stable region
𝐴	−9,−1/2,1−4𝑤curv	𝑤curv>1/4
𝐵	𝜍(𝑤curv),𝜉(𝑤curv),𝜁(𝑤curv)	—
𝐶	−(1+0.1𝑤curv),−(1+𝑤curv),−(2+0.17𝑤curv)	𝑤curv>−1
𝐷	−(1+0.1𝑤curv),−(1+𝑤curv),−(2+0.13𝑤curv)	𝑤curv>−1
𝐸	−3/2,−3/2(1+𝑤curv),−2	𝑤curv>−1
𝐹	−3/2,0,−2	𝑤curv=−1