Abstract
We analytically investigate backreaction by a quantum scalar field on two rotating Bañados-Teitelboim-Zanelli (BTZ) geometries: that of a black hole and that of a naked singularity. In the former case, we explore the quantum effects on various regions of relevance for a rotating black hole space-time. We find that the quantum effects lead to a growth of both the event horizon and the radius of the ergosphere, and to a reduction of the angular velocity, compared to the unperturbed values. Furthermore, they give rise to the formation of a curvature singularity at the Cauchy horizon and show no evidence of the appearance of a superradiant instability. In the case of a naked singularity, we find that quantum effects lead to the formation of a horizon that shields it, thus supporting evidence for the rôle of quantum mechanics as a cosmic censor in nature.
Funding Information
  • Conselho Nacional de Desenvolvimento Científico e Tecnológico (308556/2014-3)
  • Ministerio de Economía y Competitividad (FIS2014-57387-C3-1-P)
  • Fondo Nacional de Desarrollo Científico y Tecnológico (1130658, 1140155, 1161311)
  • Comisión Nacional de Investigación Científica y Tecnológica
  • Severo Ochoa Excellence Center (SEV-2014-0398)

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