Extended quintessence with nonminimally coupled phantom scalar field
Abstract
We investigate evolutional paths of an extended quintessence with a nonminimally coupled phantom scalar field {psi} to the Ricci curvature. The dynamical system methods are used to investigate typical regimes of dynamics at the late time. We demonstrate that there are two generic types of evolutional scenarios which approach the attractor (a focus or a node type critical point) in the phase space: the quasioscillatory and monotonic trajectories approach the attractor which represents the Friedmann-Robertson-Walker model with the cosmological constant. We demonstrate that the dynamical system admits an invariant two-dimensional submanifold and discuss that which cosmological scenario is realized depends on the behavior of the system on the phase plane ({psi},{psi}{sup '}). We formulate simple conditions on the value of the coupling constant {xi} for which trajectories tend to the focus in the phase plane and hence damping oscillations around the mysterious value w=-1. We describe this condition in terms of slow-roll parameters calculated at the critical point. We discover that the generic trajectories in the focus-attractor scenario come from the unstable node. We also investigate the exact form of the parametrization of the equation of state parameter w(z) (directly determined from dynamics) which assumes a different form for bothmore »
- Authors:
-
- Department of Theoretical Physics, Faculty of Philosophy, John Paul II Catholic University of Lublin, Al. Raclawickie 14, 20-950 Lublin (Poland)
- Publication Date:
- OSTI Identifier:
- 21024018
- Resource Type:
- Journal Article
- Journal Name:
- Physical Review. D, Particles Fields
- Additional Journal Information:
- Journal Volume: 76; Journal Issue: 12; Other Information: DOI: 10.1103/PhysRevD.76.123510; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ATTRACTORS; COSMOLOGICAL CONSTANT; COSMOLOGY; COUPLING CONSTANTS; EQUATIONS OF STATE; NONLUMINOUS MATTER; OSCILLATIONS; PHANTOMS; PHASE SPACE; QUANTUM FIELD THEORY; SCALAR FIELDS; TWO-DIMENSIONAL CALCULATIONS
Citation Formats
Hrycyna, Orest, Szydlowski, Marek, and Astronomical Observatory, Jagiellonian University, Orla 171, 30-244 Cracow. Extended quintessence with nonminimally coupled phantom scalar field. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.76.123510.
Hrycyna, Orest, Szydlowski, Marek, & Astronomical Observatory, Jagiellonian University, Orla 171, 30-244 Cracow. Extended quintessence with nonminimally coupled phantom scalar field. United States. https://doi.org/10.1103/PHYSREVD.76.123510
Hrycyna, Orest, Szydlowski, Marek, and Astronomical Observatory, Jagiellonian University, Orla 171, 30-244 Cracow. 2007.
"Extended quintessence with nonminimally coupled phantom scalar field". United States. https://doi.org/10.1103/PHYSREVD.76.123510.
@article{osti_21024018,
title = {Extended quintessence with nonminimally coupled phantom scalar field},
author = {Hrycyna, Orest and Szydlowski, Marek and Astronomical Observatory, Jagiellonian University, Orla 171, 30-244 Cracow},
abstractNote = {We investigate evolutional paths of an extended quintessence with a nonminimally coupled phantom scalar field {psi} to the Ricci curvature. The dynamical system methods are used to investigate typical regimes of dynamics at the late time. We demonstrate that there are two generic types of evolutional scenarios which approach the attractor (a focus or a node type critical point) in the phase space: the quasioscillatory and monotonic trajectories approach the attractor which represents the Friedmann-Robertson-Walker model with the cosmological constant. We demonstrate that the dynamical system admits an invariant two-dimensional submanifold and discuss that which cosmological scenario is realized depends on the behavior of the system on the phase plane ({psi},{psi}{sup '}). We formulate simple conditions on the value of the coupling constant {xi} for which trajectories tend to the focus in the phase plane and hence damping oscillations around the mysterious value w=-1. We describe this condition in terms of slow-roll parameters calculated at the critical point. We discover that the generic trajectories in the focus-attractor scenario come from the unstable node. We also investigate the exact form of the parametrization of the equation of state parameter w(z) (directly determined from dynamics) which assumes a different form for both scenarios.},
doi = {10.1103/PHYSREVD.76.123510},
url = {https://www.osti.gov/biblio/21024018},
journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 12,
volume = 76,
place = {United States},
year = {Sat Dec 15 00:00:00 EST 2007},
month = {Sat Dec 15 00:00:00 EST 2007}
}