English

Hartle-Hawking boundary conditions as Nucleation by de Sitter Vacuum

General Relativity and Quantum Cosmology 2019-09-20 v1 High Energy Physics - Theory Quantum Physics

Abstract

It is shown that, for a de Sitter Universe, the Hartle-Hawking (HH) wave function can be obtained in a simple way starting from the Friedmann-Lemaitre-Robertson-Walker (FLRW) line element of cosmological equations. An oscillator having imaginary time is indeed derived starting from the Hamiltonian obtaining the HH condition. This proposes again some crucial matter on the meaning of complex time in cosmology. In order to overcome such difficulties, we propose an interpretation of the HH framework based on de Sitter Projective Holography.

Keywords

Cite

@article{arxiv.1909.07824,
  title  = {Hartle-Hawking boundary conditions as Nucleation by de Sitter Vacuum},
  author = {F. Feleppa and I. Licata and C. Corda},
  journal= {arXiv preprint arXiv:1909.07824},
  year   = {2019}
}

Comments

23 pages, 2 figures, accepted for publication in Physics of the Dark Universe