ホルンデスキー理論
ブランス・ディッケ理論(英語版): G 3 = G 5 = 0 {\displaystyle G_{3}=G_{5}=0} かつ G 2 = M P l 2 ω X / φ − V ( φ ) {\displaystyle G_{2}=M_{\mathrm {Pl} }^{2}\omega X/\phi -V(\phi )} , G 4 = 1 2 M P l φ {\displaystyle G_{4}={\frac {1}{2}}M_{\mathrm {Pl} }\phi } のとき.
f(R)重力: G 3 = G 5 = 0 {\displaystyle G_{3}=G_{5}=0} , G 2 = − 1 2 ( R f R − f ) {\displaystyle G_{2}=-{\frac {1}{2}}(Rf_{R}-f)} かつ G 4 = f R {\displaystyle G_{4}=f_{R}} のとき.
covariant Galileon: G 2 = β 1 X − m φ 3 {\displaystyle G_{2}=\beta _{1}X-m\phi ^{3}} , G 3 = β 3 X {\displaystyle G_{3}=\beta _{3}X} , G 5 = β 5 X 2 {\displaystyle G_{5}=\beta _{5}X^{2}} かつ G 4 = 1 2 M P l 2 + β 4 X 2 {\displaystyle G_{4}={\frac {1}{2}}M_{\mathrm {Pl} }^{2}+\beta _{4}X^{2}} のとき.