New generic evolution for $k$ essence dark energy with $w\approx 1$
Abstract
We reexamine kessence dark energy models with a scalar field Φ and a factorized Lagrangian, L = V (φ)F(X), with X = $$1\over{2}$$∇_{µ}Φ∇^{µ}Φ. A value of the equation of state parameter, w, near 1 requires either X ≈ 0 or dF/dX ≈ 0. Previous work showed that thawing models with X ≈ 0 evolve along a set of unique trajectories for w(a), while those with dF/dX ≈ 0 can result in a variety of different forms for w(a). We show that if dV /dΦ is small and (1/V )(dV /dΦ) is roughly constant, then the latter models also converge toward a single unique set of behaviors for w(a), different from those with X ≈ 0. We derive the functional form for w(a) in this case, determine the conditions on V (Φ) for which it applies, and present observational constraints on this new class of models. We note that kessence models with dF/dX ≈ 0 correspond to a dark energy sound speed c$$2\atop{s}$$ ≈ 0.
 Authors:

 Univ. of Pennsylvania, Philadelphia, PA (United States)
 Vanderbilt Univ., Nashville, TN (United States)
 Publication Date:
 Research Org.:
 Vanderbilt Univ., Nashville, TN (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), High Energy Physics (HEP)
 OSTI Identifier:
 1599595
 Alternate Identifier(s):
 OSTI ID: 1546489
 Grant/Contract Number:
 SC0019207
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physical Review D
 Additional Journal Information:
 Journal Volume: 100; Journal Issue: 2; Journal ID: ISSN 24700010
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 79 ASTRONOMY AND ASTROPHYSICS; dark energy; kessence; scalar fields
Citation Formats
Kehayias, John, and Scherrer, Robert J. New generic evolution for k essence dark energy with w≈1. United States: N. p., 2019.
Web. https://doi.org/10.1103/PhysRevD.100.023525.
Kehayias, John, & Scherrer, Robert J. New generic evolution for k essence dark energy with w≈1. United States. https://doi.org/10.1103/PhysRevD.100.023525
Kehayias, John, and Scherrer, Robert J. Thu .
"New generic evolution for k essence dark energy with w≈1". United States. https://doi.org/10.1103/PhysRevD.100.023525. https://www.osti.gov/servlets/purl/1599595.
@article{osti_1599595,
title = {New generic evolution for k essence dark energy with w≈1},
author = {Kehayias, John and Scherrer, Robert J.},
abstractNote = {We reexamine kessence dark energy models with a scalar field Φ and a factorized Lagrangian, L = V (φ)F(X), with X = $1\over{2}$∇µΦ∇µΦ. A value of the equation of state parameter, w, near 1 requires either X ≈ 0 or dF/dX ≈ 0. Previous work showed that thawing models with X ≈ 0 evolve along a set of unique trajectories for w(a), while those with dF/dX ≈ 0 can result in a variety of different forms for w(a). We show that if dV /dΦ is small and (1/V )(dV /dΦ) is roughly constant, then the latter models also converge toward a single unique set of behaviors for w(a), different from those with X ≈ 0. We derive the functional form for w(a) in this case, determine the conditions on V (Φ) for which it applies, and present observational constraints on this new class of models. We note that kessence models with dF/dX ≈ 0 correspond to a dark energy sound speed c$2\atop{s}$ ≈ 0.},
doi = {10.1103/PhysRevD.100.023525},
journal = {Physical Review D},
number = 2,
volume = 100,
place = {United States},
year = {2019},
month = {7}
}
Works referenced in this record:
Improved Cosmological Constraints from New, Old, and Combined Supernova Data Sets
journal, October 2008
 Kowalski, M.; Rubin, D.; Aldering, G.
 The Astrophysical Journal, Vol. 686, Issue 2
IMPROVED DARK ENERGY CONSTRAINTS FROM ∼100 NEW CfA SUPERNOVA TYPE Ia LIGHT CURVES
journal, July 2009
 Hicken, Malcolm; WoodVasey, W. Michael; Blondin, Stephane
 The Astrophysical Journal, Vol. 700, Issue 2
SPECTRA AND HUBBLE SPACE TELESCOPE LIGHT CURVES OF SIX TYPE Ia SUPERNOVAE AT 0.511 < z < 1.12 AND THE UNION2 COMPILATION
journal, May 2010
 Amanullah, R.; Lidman, C.; Rubin, D.
 The Astrophysical Journal, Vol. 716, Issue 1
THE HUBBLE SPACE TELESCOPE CLUSTER SUPERNOVA SURVEY. V. IMPROVING THE DARKENERGY CONSTRAINTS ABOVE z > 1 AND BUILDING AN EARLYTYPEHOSTED SUPERNOVA SAMPLE
journal, January 2012
 Suzuki, N.; Rubin, D.; Lidman, C.
 The Astrophysical Journal, Vol. 746, Issue 1
NINEYEAR WILKINSON MICROWAVE ANISOTROPY PROBE ( WMAP ) OBSERVATIONS: COSMOLOGICAL PARAMETER RESULTS
journal, September 2013
 Hinshaw, G.; Larson, D.; Komatsu, E.
 The Astrophysical Journal Supplement Series, Vol. 208, Issue 2
Planck 2013 results. XVI. Cosmological parameters
journal, October 2014
 Ade, P. A. R.; Aghanim, N.; ArmitageCaplan, C.
 Astronomy & Astrophysics, Vol. 571
Improved cosmological constraints from a joint analysis of the SDSSII and SNLS supernova samples
journal, August 2014
 Betoule, M.; Kessler, R.; Guy, J.
 Astronomy & Astrophysics, Vol. 568
Cosmological consequences of a rolling homogeneous scalar field
journal, June 1988
 Ratra, Bharat; Peebles, P. J. E.
 Physical Review D, Vol. 37, Issue 12
Structure Formation with a SelfTuning Scalar Field
journal, December 1997
 Ferreira, Pedro G.; Joyce, Michael
 Physical Review Letters, Vol. 79, Issue 24
Exponential potentials and cosmological scaling solutions
journal, April 1998
 Copeland, Edmund J.; Liddle, Andrew R.; Wands, David
 Physical Review D, Vol. 57, Issue 8
Cosmological Imprint of an Energy Component with General Equation of State
journal, February 1998
 Caldwell, R. R.; Dave, Rahul; Steinhardt, Paul J.
 Physical Review Letters, Vol. 80, Issue 8
Classification of scalar field potentials with cosmological scaling solutions
journal, December 1998
 Liddle, Andrew R.; Scherrer, Robert J.
 Physical Review D, Vol. 59, Issue 2
Cosmological tracking solutions
journal, May 1999
 Steinhardt, Paul J.; Wang, Limin; Zlatev, Ivaylo
 Physical Review D, Vol. 59, Issue 12
Dynamics of dark Energy
journal, November 2006
 Copeland, Edmund J.; Sami, M.; Tsujikawa, Shinji
 International Journal of Modern Physics D, Vol. 15, Issue 11
Thawing quintessence with a nearly flat potential
journal, April 2008
 Scherrer, Robert J.; Sen, A. A.
 Physical Review D, Vol. 77, Issue 8
Hilltop quintessence
journal, December 2008
 Dutta, Sourish; Scherrer, Robert J.
 Physical Review D, Vol. 78, Issue 12
Slowroll thawing quintessence
journal, April 2009
 Chiba, Takeshi
 Physical Review D, Vol. 79, Issue 8
Dark energy from a quintessence (phantom) field rolling near a potential minimum (maximum)
journal, May 2009
 Dutta, Sourish; Saridakis, Emmanuel N.; Scherrer, Robert J.
 Physical Review D, Vol. 79, Issue 10
Slowroll freezing quintessence
journal, October 2011
 Dutta, Sourish; Scherrer, Robert J.
 Physics Letters B, Vol. 704, Issue 4
Quadratic approximation for quintessence with arbitrary initial conditions
journal, June 2015
 Swaney, Jeffrey R.; Scherrer, Robert J.
 Physical Review D, Vol. 91, Issue 12
Slowroll kessence
journal, August 2009
 Chiba, Takeshi; Dutta, Sourish; Scherrer, Robert J.
 Physical Review D, Vol. 80, Issue 4
Limits of Quintessence
journal, September 2005
 Caldwell, R. R.; Linder, Eric V.
 Physical Review Letters, Vol. 95, Issue 14
Field flows of dark energy
journal, November 2008
 Cahn, Robert N.; de Putter, Roland; Linder, Eric V.
 Journal of Cosmology and Astroparticle Physics, Vol. 2008, Issue 11
kInflation
journal, July 1999
 ArmendárizPicón, C.; Damour, T.; Mukhanov, V.
 Physics Letters B, Vol. 458, Issue 23
Perturbations in kinflation
journal, July 1999
 Garriga, Jaume; Mukhanov, V. F.
 Physics Letters B, Vol. 458, Issue 23
Kinetically driven quintessence
journal, June 2000
 Chiba, Takeshi; Okabe, Takahiro; Yamaguchi, Masahide
 Physical Review D, Vol. 62, Issue 2
Dynamical Solution to the Problem of a Small Cosmological Constant and LateTime Cosmic Acceleration
journal, November 2000
 ArmendarizPicon, C.; Mukhanov, V.; Steinhardt, Paul J.
 Physical Review Letters, Vol. 85, Issue 21
Essentials of k essence
journal, April 2001
 ArmendarizPicon, C.; Mukhanov, V.; Steinhardt, Paul J.
 Physical Review D, Vol. 63, Issue 10
POWERLOW EXPANSION IN kESSENCE COSMOLOGY
journal, March 2004
 Chimento, Luis P.; Feinstein, Alexander
 Modern Physics Letters A, Vol. 19, Issue 10
Extended tachyon field, Chaplygin gas, and solvable k essence cosmologies
journal, June 2004
 Chimento, Luis P.
 Physical Review D, Vol. 69, Issue 12
Purely Kinetic $k$ Essence as Unified Dark Matter
journal, June 2004
 Scherrer, Robert J.
 Physical Review Letters, Vol. 93, Issue 1
Refining inflation using noncanonical scalars
journal, August 2012
 Unnikrishnan, Sanil; Sahni, Varun; Toporensky, Aleksey
 Journal of Cosmology and Astroparticle Physics, Vol. 2012, Issue 08
Intermediate inflation from a noncanonical scalar field
journal, September 2015
 Rezazadeh, K.; Karami, K.; Karimi, P.
 Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 09
Cosmologies with a general noncanonical scalar field
journal, July 2007
 Fang, Wei; Lu, H. Q.; Huang, Z. G.
 Classical and Quantum Gravity, Vol. 24, Issue 15
Can cosmological observations uniquely determine the nature of dark energy?
journal, September 2008
 Unnikrishnan, Sanil
 Physical Review D, Vol. 78, Issue 6
Cosmic acceleration in noncanonical scalar field model: an interacting scenario
journal, December 2014
 Das, Sudipta; Al Mamon, Abdulla
 Astrophysics and Space Science, Vol. 355, Issue 2
A new recipe for $$\Lambda $$ Λ CDM
journal, April 2017
 Sahni, Varun; Sen, Anjan A.
 The European Physical Journal C, Vol. 77, Issue 4
Stability of a Noncanonical Scalar Field Model during Cosmological Date
journal, January 2016
 Ossoulian, Z.; Golanbari, T.; Sheikhahmadi, H.
 Advances in High Energy Physics, Vol. 2016
Classifying the behavior of noncanonical quintessence
journal, April 2016
 Li, Dan; Scherrer, Robert J.
 Physical Review D, Vol. 93, Issue 8
Dark energy models in the $w{w}^{\prime}$ plane
journal, February 2006
 Scherrer, Robert J.
 Physical Review D, Vol. 73, Issue 4
The clustering of galaxies in the completed SDSSIII Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
journal, March 2017
 Alam, Shadab; Ata, Metin; Bailey, Stephen
 Monthly Notices of the Royal Astronomical Society, Vol. 470, Issue 3
Accelerating Universes with Scaling dark Matter
journal, April 2001
 Chevallier, Michel; Polarski, David
 International Journal of Modern Physics D, Vol. 10, Issue 02
Exploring the Expansion History of the Universe
journal, March 2003
 Linder, Eric V.
 Physical Review Letters, Vol. 90, Issue 9
Largescale cosmic microwave background anisotropies and dark energy
journal, December 2003
 Weller, J.; Lewis, A. M.
 Monthly Notices of the Royal Astronomical Society, Vol. 346, Issue 3
Probing dark energy perturbations: The dark energy equation of state and speed of sound as measured by WMAP
journal, April 2004
 Bean, Rachel; Doré, Olivier
 Physical Review D, Vol. 69, Issue 8
Constraints on the sound speed of dark energy
journal, May 2005
 Hannestad, Steen
 Physical Review D, Vol. 71, Issue 10
Cold dark energy constraints from the abundance of galaxy clusters
journal, October 2017
 Heneka, Caroline; Rapetti, David; Cataneo, Matteo
 Monthly Notices of the Royal Astronomical Society, Vol. 473, Issue 3
Cosmology and Fundamental Physics with the Euclid Satellite
journal, September 2013
 Amendola, Luca; Appleby, Stephen; Bacon, David
 Living Reviews in Relativity, Vol. 16, Issue 1