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Extensions of Einstein gravity with quadratic curvature terms in the action arise in most effective theories of quantised gravity, including string theory.
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We are grateful to Alfio Bonanno for help in understanding techniques for numerical solutions to higher-derivative theories, and in particular to the γ R − α C 2 \gamma R-\alpha C^{2} theory. A more detailed analysis of numerical solutions in second-plus-fourth-order gravity theories will be given in collaboration with him in a separate publication
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2015
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