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Asymptotic Freedom in Curvature-Satured Gravity

S. Capozziello·G. Lambiase·H. -J. Schmidt
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Abstract

For a spatially flat Friedmann model with line element $ds^2=a^2 [ da^2/B(a)-dx^2-dy^2-dz^2 ] $, the 00-component of the Einstein field equation reads $8πG T_{00}=3/a^2$ containing no derivative. For a nonlinear Lagrangian ${\cal L}(R)$, we obtain a second--order differential equation for $B$ instead of the expected fourth-order equation. We discuss this equation for the curvature-saturated model proposed by Kleinert and Schmidt. Finally, we argue that asymptotic freedom $G_{\rm eff}^{-1}\to 0$ is fulfilled in curvature-saturated gravity.

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S. Capozziello, G. Lambiase, H. -J. Schmidt. 2001-01-24. Asymptotic Freedom in Curvature-Satured Gravity. https://doi.org/10.1142/9789812811240_0059

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