Nonanalyticity of the Coupling Constant in the Vacuum Solutions of the General R+R^2 Theories of Gravity with Torsion

陳輝樺(Hui-Hwa Chen)；陳明桂(Ming-Quey Chen)；陳滌清(De-Ching Chern)

Chinese Journal of Physics

20卷3&4期（1982 / 12 / 01）

102 - 105

英文

We study the relations between the vacuum solutions of the field equations derived from the gravitational Lagrangians R→2Λ and the general R+λR^2 type. We find that all the solutions of the former one are also solutions of the latter ones. Using a perturbation calculation, we show further that a I-dependent solution of the latter, does not have an analytical limit at λ→0, and it does not reduce analytically to a torsionless Einsteinian vacuum solution at any value of λ, including λ→∞.