Evolution of {lambda} black holes in the minisuperspace approximation of loop quantum gravity

Journal Article · Wed Apr 15 04:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.79.084023· OSTI ID:21308318

Brannlund, J; Kloster, S; DeBenedictis, A ^[1]

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1. Department of Mathematics and Statistics, Dalhousie University Halifax, Nova Scotia, B3H 3J5 (Canada)

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 T-R=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.

• OSTI ID: 21308318
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 79; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTRONOMY AND ASTROPHYSICS
APPROXIMATIONS
BLACK HOLES
COSMOLOGICAL CONSTANT
CYLINDRICAL CONFIGURATION
EXCEPTIONS
MATHEMATICAL SOLUTIONS
QUANTIZATION
QUANTUM GRAVITY
SINGULARITY
SPACE-TIME
SYMMETRY
UNIVERSE