Quantum Backreaction on Three-Dimensional Black Holes and Naked Singularities

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.
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Submitted on : Monday, July 3, 2017 - 5:40:46 PM
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Marc Casals, Alessandro Fabbri, Cristián Martínez, Jorge Zanelli. Quantum Backreaction on Three-Dimensional Black Holes and Naked Singularities. Phys.Rev.Lett., 2017, 118 (13), pp.131102. ⟨10.1103/PhysRevLett.118.131102⟩. ⟨hal-01554134⟩

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