Evolution of Λ black holes in the minisuperspace approximation of loop quantum gravity

J. Brannlund, S. Kloster, and A. DeBenedictis
Phys. Rev. D 79, 084023 – Published 16 April 2009

Abstract

Using the improved quantization technique to the minisuperspace approximation of loop quantum gravity, we study the evolution of black holes supported by a cosmological constant. The addition of a cosmological constant allows for classical solutions with planar, cylindrical, toroidal, and higher-genus black holes. Here we study the quantum analog of these space-times. In all scenarios studied, the singularity present in the classical counterpart is avoided in the quantized version and is replaced by a bounce, and in the late evolution, a series of less severe bounces. Interestingly, although there are differences during the evolution between the various symmetries and topologies, the evolution on the other side of the bounce asymptotes to space-times of Nariai-type, with the exception of the planar black hole analyzed here, whose TR=constant subspaces seem to continue expanding in the long-term evolution. For the other cases, Nariai-type universes are attractors in the quantum evolution, albeit with different parameters. We study here the quantum evolution of each symmetry in detail.

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  • Received 24 January 2009

DOI:https://doi.org/10.1103/PhysRevD.79.084023

©2009 American Physical Society

Authors & Affiliations

J. Brannlund*

  • Department of Mathematics and Statistics, Dalhousie University Halifax, Nova Scotia, B3H 3J5, Canada

S. Kloster

  • Centre for Experimental and Constructive Mathematics, Simon Fraser University Burnaby, British Columbia, V5A 1S6, Canada

A. DeBenedictis

  • Pacific Institute for the Mathematical Sciences, Simon Fraser University and Department of Physics, Simon Fraser University Burnaby, British Columbia, V5A 1S6, Canada

  • *johanb@mathstat.dal.ca
  • stevek@sfu.ca
  • adebened@sfu.ca

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Issue

Vol. 79, Iss. 8 — 15 April 2009

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