Subdivision analysis of solutions to the Regge equations - art. no. 084009

Authors
Gibbs, RL Larry, TR Mokhtari, S
Citation
Rl. Gibbs et al., Subdivision analysis of solutions to the Regge equations - art. no. 084009, PHYS REV D, 5908(8), 1999, pp. 4009
Citations number
9
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW D
ISSN journal
05562821 → ACNP
Volume
5908
Issue
8
Year of publication
1999
Database
ISI
SICI code
0556-2821(19990415)5908:8<4009:SAOSTT>2.0.ZU;2-7
Abstract
Solutions to the Regge equations of motion in three dimensions are analyzed for the case of lens space topology. The behavior of the solutions under s ubdivision of the triangulations is studied in simplicial minisuperspace. I n particular, we show that solutions which exist for one triangulation may disappear upon subdivision. We also find examples where solutions do not ex ist for a given triangulation, but do exist upon subdivision. Similar behav ior is observed in four dimensions. [S0556-2821(99)03304-4].