Estabilidade de singularidades nuas

Abstract

Some studies have shown divergent results regarding the stability of naked singularity solutions present in the Schwarzschild metric with negative mass. This work presents the comparison between two divergent methods, and concludes that the solution is unstable under polar perturbations. Stability was also studied for the Einstein-Maxwell-dilaton (EMD) solution having a dilatonic field coupled to the gauge field. An analysis was made for the black hole and the naked singularity present in the solution through perturbation with a massive and non-massive scalar field. The results for black hole solutions were inconclusive, while the naked singularity is unstable under such perturbations.