Quintom evolution in power-law potentials

2009/03/23 by Emmanuel N. Saridakis
Mathematics · Physics and Astronomy · #Astrophysics #Black Holes and Theoretical Physics #Cosmology #Cosmology and Gravitation Theories #Dark energy #Dark matter #Galaxies: Formation, Evolution, Phenomena #Mathematical analysis #Mathematics #Monotonic function #Physics #Power law #Quantum mechanics #Quintessence #Realization (probability) #Redshift #Statistical physics #Statistics #Theoretical physics #Time evolution #astro-ph.CO #gr-qc #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2010.01.005

published as Nucl.Phys.B830:374-389,2010 · 12 pages, 6 figures

arxiv created 2009/03/23 · openalex publication_date 2010/01/15 · arxiv updated 2011/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We investigate quintom evolution in power-law potentials. We extract the early-time, tracker solutions, under the assumption of matter domination. Additionally, we derive analytical solutions at intermediate times, that is at low redshifts, which is the period during the transition from matter to dark-energy domination. A comparison with exact evolution reveals that the tracker solutions are valid within 98% for z>1.5, while the intermediate ones are accurate within 98% up to z=0.5. Using these expressions we extract two new w-parametrizations, one in terms of the redshift and one in terms of the dark-energy density-parameter, and we present various quintom evolution sub-classes, including quintessence-like or phantom-like cases, realization of the -1-crossing, and non-monotonic w-evolution.

Citations

• Phantom Energy: Dark Energy withw<−1Causes a Cosmic Doomsday
• Measurements of Ω and Λ from 42 High‐Redshift Supernovae
• Crossing the phantom divide in an interacting generalized Chaplygin gas
• Extended quintessence with nonminimally coupled phantom scalar field
• The quintom model with O(N) symmetry
• Crossingw=−1by a single scalar on a Dvali-Gabadadze-Porrati brane
• Cosmic duality in quintom Universe
• Inverse power law quintessence with nontracking initial conditions
• Cosmology with a time-variable cosmological 'constant'
• Quantum effects can renderw<−1on cosmological scales
• Cosmological evolution of interacting phantom energy with dark matter
• Non-conventional cosmology from a brane universe
• Cosmological evolution of a quintom model of dark energy
• Is there supernova evidence for dark energy metamorphosis?
• Oscillating quintom and the recurrent universe
• Classification of scalar field potentials with cosmological scaling solutions
• Braneworld models of dark energy
• Hessence: a new view of quintom dark energy
• Phantom dark energy models with a nearly flat potential
• Non-minimally coupled canonical, phantom and quintom models of holographic dark energy
• The fate of (phantom) dark energy universe with string curvature corrections
• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• A Measurement of Ω from the North American Test Flight of Boomerang
• A single scalar field model of dark energy with equation of state crossing −1
• Accelerating Universes with Scaling Dark Matter
• First‐Year Wilkinson Microwave Anisotropy Probe ( WMAP ) Observations: Determination of Cosmological Parameters
• Precision Cosmology? Not Just Yet . . .
• Dynamics of dark energy
• Cosmological consequences of a rolling homogeneous scalar field
• Constraining the equation of state of the Universe from distant Type Ia supernovae and cosmic microwave background anisotropies
• INTRODUCTION TO MODIFIED GRAVITY AND GRAVITATIONAL ALTERNATIVE FOR DARK ENERGY
• Curvature Quintessence