2015/06/26 by Roberto Giambò, John Miritzis, Koralia Tzanni
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Dark energy #Friedmann–Lemaître–Robertson–Walker metric #Function (biology) #Galaxies: Formation, Evolution, Phenomena #Geometry #Hubble's law #Infinity #Mathematical analysis #Mathematical physics #Perfect fluid #Physics #Quantum mechanics #Scalar (mathematics) #Scalar field #Theoretical physics #Zero (linguistics) #gr-qc
paper · pdf · doi:10.1088/0264-9381/32/16/165017
13 pages, 4 figures. To appear in CQG
arxiv created 2015/06/26 · openalex publication_date 2015/07/30 · arxiv updated 2015/08/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Completing a previous analysis started in Giambò et al (2015 Class. Quantum Grav. 32 035009 ), we study flat Friedmann–Lemaître–Robertson–Walker models with a perfect fluid matter source and a scalar field nonminimally coupled to matter, self–interacting with a potential that may attain negative values. We prove that the evolution generically forces the Hubble function to diverge to − ∞ in a finite time, except in case the potential exhibits a flat plateau at infinity (tending to zero from below); in that case we find conditions which may give rise to ever expanding or recollapsing cosmologies.