Dynamical analysis for a scalar–tensor model with kinetic and nonminimal couplings

2017/10/18 by L. N. Granda, D. F. Jimenez
Physics and Astronomy · #Asymptotic freedom #Attractor #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Coupling (piping) #Dark energy #Degrees of freedom (physics and chemistry) #Exponential decay #Imaging phantom #Kinetic energy #Pulsars and Gravitational Waves Research #Quintessence #Scalar (mathematics) #gr-qc

paper · pdf · doi:10.1142/s021827181850030x

30 pages, 2 figures, submitted to IJMPD. arXiv admin note: substantial text overlap with arXiv:1710.04760

arxiv created 2017/10/18 · openalex created_date 2017/11/10 · openalex publication_date 2017/11/30 · arxiv updated 2018/02/28 · openalex updated_date 2026/08/05

Abstract

We study the autonomous system for a scalar–tensor model of dark energy with nonminimal coupling to curvature and nonminimal kinetic coupling to the Einstein tensor. The critical points describe important stable asymptotic scenarios including quintessence, phantom and de Sitter attractor solutions. Two functional forms for the coupling functions and the scalar potential were considered: power-law and exponential functions of the scalar field. For power-law couplings, the restrictions on stable quintessence and phantom solutions lead to asymptotic freedom regime for the gravitational interaction. For the exponential functions, the stable quintessence, phantom or de Sitter solutions allow asymptotic behaviors where the effective Newtonian coupling can reach either the asymptotic freedom regime or constant value. The phantom solutions could be realized without appealing to ghost degrees of freedom. Transient inflationary and radiation dominated phases can also be described.

Citations

• Dynamical analysis for a scalar-tensor model with Gauss-Bonnet and non-minimal couplings
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• de Sitter attractors in generalized gravity
• Cosmological Constant - the Weight of the Vacuum
• Purely kinetic coupled gravity
• Quantum Fields in Curved Space
• Order α′ (two-loop) equivalence of the string equations of motion and the σ-model Weyl invariance conditions
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Second-order scalar-tensor field equations in a four-dimensional space
• The cosmological constant and dark energy
• Dynamics of dark energy
• Improved Cosmological Constraints from New, Old, and Combined Supernova Data Sets
• FIVE-YEARWILKINSON MICROWAVE ANISOTROPY PROBEOBSERVATIONS: COSMOLOGICAL INTERPRETATION
• The Case for a Positive Cosmological Lambda-term
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Extended quintessence