The phase-space analysis of scalar fields with non-minimally derivative coupling

2014/12/31 by Yumei Huang, Qing Gao, Yungui Gong · 26 citations
Physics and Astronomy · #Attractor #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Coupling (piping) #Derivative (finance) #Exponential function #Pulsars and Gravitational Waves Research #Quintessence #Scalar (mathematics) #Scalar field #Time derivative #gr-qc

paper · pdf · doi:10.1140/epjc/s10052-015-3365-1

published in The European Physical Journal C 75(4) (Springer Science+Business Media) · v2, minor correction, EPJC in press

arxiv created 2015/03/28 · openalex publication_date 2015/04/01 · arxiv updated 2015/04/10 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We perform a dynamical analysis for the exponential scalar field with non-minimally derivative coupling. For the quintessence case, the stable fixed points are the same with and without the non-minimally derivative coupling. For the phantom case, the attractor with dark energy domination exists for the minimal coupling only. For the non-minimally derivative coupling without the standard canonical kinetic term, only the de Sitter attractor exists, and the dark matter solution is unstable.

Citations

• Measurements of Ω and Λ from 42 High‐Redshift Supernovae
• Phantom cosmic dynamics: Tracking attractor and cosmic doomsday
• Second-order scalar-tensor field equations in a four-dimensional space
• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Fixed points in interacting dark energy models
• Dynamics of dark energy
• Cosmological consequences of a rolling homogeneous scalar field
• Rolling Tachyon

Cited by

• Thermodynamics of general scalar-tensor theory with non-minimally derivative coupling