The gravitational field of a star in quadratic gravity

The characterization of the gravitational field isolated objects is still an open question in quadratic theories gravity. We study static equilibrium solutions for a self-gravitating fluid extensions General Relativity including terms Weyl tensor $C_{\mu\nu\rho\sigma}$ and Ricci scalar $R$, as suggested by one-loop corrections to classical By means shooting method procedure we link total mass strength Yukawa associated with properties at center. It shown that inclusion $C_{\mu\nu\rho\sigma}C^{\mu\nu\rho\sigma}$ coupling lagrangian has much stronger impact than $R^2$ correction determination radius maximum compact object. also suggest ambiguity definition gravity can conveniently be exploited detect deviations from standard Relativity.