Kinetic dominance and the wave function of the Universe

We analyze the emergence of classical inflationary universes in a kinetic-dominated stage using a suitable class of solutions of the Wheeler-DeWitt equation with a constant potential. These solutions are eigenfunctions of the inflaton momentum operator that are strongly peaked on classical solutions...

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Bibliographic Details
Main Authors: Alonso, L.M (Author), Álvarez, G. (Author), Medina, E. (Author)
Format: Article
Language:English
Published: American Physical Society 2022
Online Access:View Fulltext in Publisher
LEADER 01403nam a2200157Ia 4500
001 10.1103-PhysRevD.105.083502
008 220510s2022 CNT 000 0 und d
020 |a 24700010 (ISSN) 
245 1 0 |a Kinetic dominance and the wave function of the Universe 
260 0 |b American Physical Society  |c 2022 
856 |z View Fulltext in Publisher  |u https://doi.org/10.1103/PhysRevD.105.083502 
520 3 |a We analyze the emergence of classical inflationary universes in a kinetic-dominated stage using a suitable class of solutions of the Wheeler-DeWitt equation with a constant potential. These solutions are eigenfunctions of the inflaton momentum operator that are strongly peaked on classical solutions exhibiting either or both a kinetic-dominated period and an inflation period. Our analysis is based on semiclassical WKB solutions of the Wheeler-DeWitt equation interpreted in the sense of Borel (to perform a correct connection between classically allowed regions) and on the relationship of these solutions to the solutions of the classical model. For large values of the scale factor the WKB Vilenkin tunneling wave function and the Hartle-Hawking no-boundary wave functions are recovered as particular instances of our class of wave functions. © 2022 American Physical Society. 
700 1 |a Alonso, L.M.  |e author 
700 1 |a Álvarez, G.  |e author 
700 1 |a Medina, E.  |e author 
773 |t Physical Review D