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Phys. Rev. D 58, 064008 (1998) [7 pages]

Quantum implementation of the cosmic censorship conjecture for toroidal black holes

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Marco M. Caldarelli*
Dipartimento di Fisica, Università di Trento, and Istituto Nazionale di Fisica Nucleare, Gruppo Collegato di Trento, I-38050 Povo (TN), Italy

Received 17 February 1998; published 6 August 1998

We consider some aspects of quantum field theory of a conformally coupled scalar field on the singular background obtained in the massless limit of a class of toroidal black holes. The stress-tensor and its back reaction on the metric are computed using point-splitting regularization, in the cases of transparent, Neumann and Dirichlet boundary conditions. We find that the quantum fluctuations generate an event horizon which hides the singularity. The resulting object can be interpreted as a long lived remnant. We discuss the relevance of this result in the context of the cosmic censorship conjecture, and in connection to the end point of the quantum evaporation process.

© 1998 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.58.064008
DOI:
10.1103/PhysRevD.58.064008
PACS:
04.70.Dy, 04.20.Dw, 04.62.+v

*Electronic address: caldarel@science.unitn.it