Cosmology with nonminimal kinetic coupling and a Higgs-like potential

Journal Article · Sun Nov 01 04:00:00 EST 2015 · Journal of Cosmology and Astroparticle Physics

DOI:https://doi.org/10.1088/1475-7516/2015/11/047· OSTI ID:22525161

Matsumoto, Jiro

We consider cosmological dynamics in the theory of gravity with the scalar field possessing the nonminimal kinetic coupling to curvature given as κG{sup μν}φ{sub ,μ}φ{sub ,ν}, and the Higgs-like potential . Using the dynamical system method, we analyze stationary points, their stability, and all possible asymptotical regimes of the model under consideration. We show that the Higgs field with the kinetic coupling provides an existence of accelerated regimes of the Universe evolution. There are three possible cosmological scenarios with acceleration: (i) The late-time de Sitter epoch when the Hubble parameter tends to the constant value, as t → ∞, while the scalar field tends to zero, 0φ(t)→ , so that the Higgs potential reaches its local maximum . (ii) The Big Rip when H(t)∼(t{sub *}−t){sup −1} → ∞ and φ(t)∼(t{sub *}−t){sup −2} → ∞ as t →  t{sub *}. (iii) The Little Rip when H(t)∼ t{sup 1/2} → ∞ and φ(t)∼ t{sup 1/4} → ∞ as t → ∞. Also, we derive modified slow-roll conditions for the Higgs field and demonstrate that they lead to the Little Rip scenario.

• OSTI ID: 22525161
• Journal Information: Journal of Cosmology and Astroparticle Physics, Journal Name: Journal of Cosmology and Astroparticle Physics Journal Issue: 11 Vol. 2015; ISSN 1475-7516
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTRONOMY AND ASTROPHYSICS
ACCELERATION
COSMOLOGY
COUPLING
DE SITTER GROUP
DE SITTER SPACE
GRAVITATION
HIGGS MODEL
POTENTIALS
SCALAR FIELDS
STABILITY
UNIVERSE