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Title: New generic evolution for k -essence dark energy with w ≈ - 1

Abstract

We reexamine k-essence 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 k-essence models with dF/dX ≈ 0 correspond to a dark energy sound speed c$$2\atop{s}$$ ≈ 0.

Authors:
 [1]; ORCiD logo [2]
+ Show Author Affiliations
  1. Univ. of Pennsylvania, Philadelphia, PA (United States)
  2. 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 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; dark energy; k-essence; 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. doi:10.1103/PhysRevD.100.023525.
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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
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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.
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@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 k-essence 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 k-essence 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}
}
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Journal Article:
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Publisher's Version of Record
https://doi.org/10.1103/PhysRevD.100.023525
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Figures / Tables:

FIG. 1 FIG. 1: Evolution of 1+w relative to its value at the present, 1 + w0, as a function of the scale factor a for the analytic predictions discussed in this paper. Solid (black) curve is for k-essence with FX ≈ 0 (the new result of this paper). Blue (dotted) curvemore » and red (short-dashed) curve are for k-essence with X ≈ 0 or quintessence with nonnegligible curvature in the potential, for K = 2 and K → 0, respectively. Green (long-dashed) curve is for quintessence in a nearly flat potential. Magenta (dot-dashed) curve is for noncanonical quintessence with α = 2.« less
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