We study Friedmann–Robertson–Walker models with a perfect fluid matter source and a scalar field nonminimally coupled to matter. We prove that a general class of bounded from above potentials which fall to minus infinity as the field goes to minus infinity, forces the Hubble function to diverge to −∞ in a finite time. This finite-time singularity theorem is true for the arbitrary coupling coefficient, provided that it is a bounded function of the scalar field.

Negative potentials and collapsing universes

GIAMBO', Roberto;
2015-01-01

Abstract

We study Friedmann–Robertson–Walker models with a perfect fluid matter source and a scalar field nonminimally coupled to matter. We prove that a general class of bounded from above potentials which fall to minus infinity as the field goes to minus infinity, forces the Hubble function to diverge to −∞ in a finite time. This finite-time singularity theorem is true for the arbitrary coupling coefficient, provided that it is a bounded function of the scalar field.
2015
262
File in questo prodotto:
File Dimensione Formato  
negative_potentials_resub.pdf

accesso aperto

Descrizione: Preprint
Tipologia: Documento in Pre-print
Licenza: DRM non definito
Dimensione 289.04 kB
Formato Adobe PDF
289.04 kB Adobe PDF Visualizza/Apri
Giambò_2015_Class._Quantum_Grav._32_035009.pdf

solo gestori di archivio

Tipologia: Versione Editoriale
Licenza: NON PUBBLICO - Accesso privato/ristretto
Dimensione 772.63 kB
Formato Adobe PDF
772.63 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11581/357187
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 11
  • ???jsp.display-item.citation.isi??? 11
social impact