Experimental limits on the free parameters of higher-derivative gravity

Abstract

Fourth-derivative gravity has two free parameters, $\alpha$ and $\beta$, which couple the curvature-squared terms $R^2$ and $R_{\mu \nu }^2$. Relativistic effects and short-range laboratory experiments can be used to provide upper limits to these constants. In this work we briefly review both types of experimental results in the context of higher-derivative gravity. The strictest limit follows from the second kind of test. Interestingly enough, the bound on $\beta$ due to semiclassical light deflection at the solar limb is only one order of magnitude larger.

4 pages. Contribution to the proceedings of the 14th Marcel Grossmann Meeting, Rome 12-18 July 2015

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