Quintessential and phantom power-law solutions in scalar tensor model of dark energy

Abstract

We consider a scalar-tensor model of dark energy with kinetic and Gauss Bonnet couplings. We study the conditions for the existence of quintessential and phantom power-law expansion, and also analyze these conditions in absence of potential (closely related to string theory). A mechanism to avoid the Big Rip singularity in various asymptotic limits of the model has been studied. It was found that the kinetic and Gauss-Bonnet couplings might prevent the Big Rip singularity in a phantom scenario. The autonomous system for the model has been used to study the stability properties of the power-law solution, and the centre manifold analysis was used to treat zero eigenvalues.

arXiv comment28 pages, accepted in IJMPD

References in corpus (48)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Dynamics of dark energy
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• The Cosmological Constant and Dark Energy
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Cosmological Constant - the Weight of the Vacuum
• Discovery of a Supernova Explosion at Half the Age of the Universe and its Cosmological Implications
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Phantom Energy and Cosmic Doomsday
• Baryon Acoustic Oscillations in the Sloan Digital Sky Survey Data Release 7 Galaxy Sample
• Improved Cosmological Constraints from New, Old and Combined Supernova Datasets
• Modified Gauss-Bonnet theory as gravitational alternative for dark energy
• Properties of singularities in (phantom) dark energy universe
• Improved Dark Energy Constraints from ~100 New CfA Supernova Type Ia Light Curves
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• BVRI Light Curves for 22 Type Ia Supernovae
• Gauss-Bonnet dark energy
• Dark Matter and Dark Energy
• Dark energy cosmology from higher-order, string-inspired gravity and its reconstruction
• Future of the universe in modified gravitational theories: Approaching to the finite-time future singularity
• Exact cosmological solutions with nonminimal derivative coupling
• The Little Rip
• Viscous Little Rip Cosmology
• Cosmology and Astrophysical Constraints of Gauss-Bonnet Dark Energy
• The Fate of Bound Systems in Phantom and Quintessence Cosmologies
• Gauss-Bonnet Quintessence: Background Evolution, Large Scale Structure and Cosmological Constraints
• Friedmann-Robertson-Walker brane cosmological equations from the five-dimensional bulk (A)dS black hole
• Crossing the Phantom Divide Barrier with Scalar Tensor Theories
• Dark energy from modified F(R)-scalar-Gauss-Bonnet gravity
• Models for Little Rip Dark Energy
• Gauss-Bonnet cosmologies: crossing the phantom divide and the transition from matter dominance to dark energy
• String-inspired cosmology: Late time transition from scaling matter era to dark energy universe caused by a Gauss-Bonnet coupling
• Evolution of cosmological perturbations in non-singular string cosmologies
• Inflation and dark energy from three-forms
• Cosmological models and centre manifold theory
• Accelerating Cosmologies in the Einstein-Gauss-Bonnet Theory with Dilaton
• When scalar field is kinetically coupled to the Einstein tensor
• General Non-minimal Kinetic coupling to gravity
• Dynamics of dark energy models and centre manifolds
• Non-minimal Kinetic coupling to gravity and accelerated expansion
• Towards inflation and dark energy cosmologies from modified Gauss-Bonnet theory
• On compatibility of string effective action with an accelerating universe
• Non-minimal kinetic coupling and the phenomenology of dark energy
• Big Rip and Little Rip solutions in scalar model with kinetic and Gauss Bonnet couplings
• Lovelock Tensor as Generalized Einstein Tensor
• Non-minimal kinetic coupling and Chaplygin gas cosmology
• Late time cosmological scenarios from scalar field with Gauss Bonnet and non-minimal kinetic couplings
• Exact solutions in a scalar-tensor model of dark energy

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• Instability of Reissner-Nordström-AdS black hole under perturbations of a scalar field coupled to Einstein tensor
• Quasinormal modes of scalar field coupled to Einstein's tensor in the non-commutative geometry inspired black hole
• The speed of gravitational waves and power-law solutions in a scalar-tensor model
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