English

NUTs, Bolts and Stokes Phenomena in the No-Boundary Wave Function

General Relativity and Quantum Cosmology 2024-02-19 v1 High Energy Physics - Theory

Abstract

In this note, we revisit and extend the analysis of the no-boundary wave function for the minisuperspace model in which the universe is described by a biaxial Bianchi IX metric. As matter content, we simply assume a positive cosmological constant. We find that two Stokes phenomena occur, at large squashing parameters of the spatial section of the universe. These Stokes phenomena eliminate potentially dominant Taub-Bolt-de Sitter saddle point geometries and are crucial for the consistency of the model. They also imply that phase transitions occur at certain levels of squashing, where NUT and Bolt saddle points exchange dominance.

Keywords

Cite

@article{arxiv.2402.10501,
  title  = {NUTs, Bolts and Stokes Phenomena in the No-Boundary Wave Function},
  author = {Jean-Luc Lehners},
  journal= {arXiv preprint arXiv:2402.10501},
  year   = {2024}
}

Comments

27 pages, 14 figures

R2 v1 2026-06-28T14:50:26.744Z