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