Speaker
Description
We investigate the class of attractive naked singularities arising in Einstein–Weyl gravity. Unlike in General Relativity, where naked singularities are generically unstable and excluded by cosmic censorship, we show that these solutions are linearly stable under tensor perturbations. By numerically evolving the perturbation equations in the time domain, we find that all modes decay, with characteristic oscillatory tails consistent with massive field perturbations in quadratic gravity. These results establish that attractive naked singularities in Einstein–Weyl gravity are dynamically stable configurations. While they lack an event horizon, their external gravitational field closely mimics that of black holes, suggesting that they may represent viable black-hole alternatives in higher-derivative gravity.