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Quantum Backreaction on Three-Dimensional Black Holes and Naked Singularities
Marc Casals1, Alessandro Fabbri2, Cristián Martínez3
1Centro Brasileiro de Pesquisas Físicas (CBPF), Rio de Janeiro, CEP 22290-180, Brazil, and School of Mathematical Sciences and Complex & Adaptive Systems Laboratory, University College Dublin, Belfield, Dublin 4, Ireland.
Physical Review Letters
|April 15, 2017
Summary
Quantum backreaction effects on rotating Bañados-Teitelboim-Zanelli (BTZ) geometries modify black hole properties and shield naked singularities. Quantum mechanics may act as a cosmic censor, preventing naked singularities from being observable.
Area of Science:
- Theoretical Physics
- Quantum Gravity
- General Relativity
Background:
- Bañados-Teitelboim-Zanelli (BTZ) black holes and naked singularities are key solutions in (2+1)-dimensional gravity.
- Understanding quantum field theory effects (backreaction) is crucial for describing realistic spacetime phenomena.
Purpose of the Study:
- To analytically investigate the backreaction of a quantum scalar field on rotating BTZ black hole and naked singularity spacetimes.
- To explore how quantum effects alter the structure and properties of these geometries.
Main Methods:
- Analytical investigation of quantum scalar field backreaction.
- Perturbative analysis of quantum effects on spacetime metrics.
Main Results:
- For rotating black holes, quantum effects increase event horizon and ergosphere radii, decrease angular velocity, and form a singularity at the Cauchy horizon.
- No superradiant instability was observed.
- For naked singularities, quantum effects induce a horizon, shielding the singularity.
Conclusions:
- Quantum backreaction significantly modifies rotating BTZ black hole characteristics.
- Quantum mechanics appears to play a role in cosmic censorship by hiding naked singularities.
- The findings support the hypothesis of quantum mechanics as a cosmic censor.