Stability of naked singularities.

Name: Ébano Vitor Lopes Martins
Type: MSc dissertation
Publication date: 29/03/2019

Namesort ascending Role
Júlio César Fabris Advisor *

Examining board:

Namesort ascending Role
Vilson Tonin Zanchin External Examiner *
Ulysses Camara da Silva Internal Examiner *
Martin Gustavo Richarte External Examiner *
Júlio César Fabris Advisor *
Davi Cabral Rodrigues Internal Examiner *

Summary: Some studies have shown divergent results regarding the stability of naked singularity solutions in the Schwarzschild metric. This work presents the comparison between two divergent methods, and concludes that the solution is unstable under polar perturbations.
Also studied the stability for the 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.

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