Speaker
Description
It has recently been shown that the Schwarzschild singularity is generically resolved by the introduction of infinite towers of higher-curvature corrections to the Einstein-Hilbert action. In such theories, matter collapse leads to the formation of regular black holes. In my talk, I will present new results on spherically symmetric stars within this framework, showing how Buchdahl's compactness limit for constant-density stars is modified by higher-curvature corrections, along with other exotic bounds that appear in these theories. I will also discuss how minimally coupled matter spoils the Markov’s limiting curvature hypothesis satisfied by the vacuum solution. Although mildly singular matter yields curvature singularities, sufficiently singular matter distributions paradoxically restore regularity. Therefore, I will argue that a consistent picture entails the inclusion of non-minimally coupled matter terms.