Abstract
AbstractA general method is proposed to solve in the linear approximation the fourth‐order gravitational equations, which stem from Lagrangians \documentclass{article}\pagestyle{empty}\begin{document}$ \text{Q} = 1 ‐ g\left( {R + \frac{1}{2}aR^2 + bR_{av} R^{av} } \right) ‐ x\text{Q}. $\end{document} The metric of a static spherically symmetric body and the metric of a straight infinitely thin cosmic string are given.
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