General non-minimal kinetic coupling to gravity

2010/05/28 by L. N. Granda, Wilmar Cardona, W. Cardona · 87 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Cosmological constant #Cosmology #Cosmology and Gravitation Theories #Curvature #Dark energy #Kinetic energy #Kinetic term #Phenomenology (philosophy) #Physics #Quantum mechanics #Quintessence #Relativity and Gravitational Theory #Scalar field #Theoretical physics #hep-th

paper · pdf · doi:10.1088/1475-7516/2010/07/021

published in Journal of Cosmology and Astroparticle Physics 2010(07), 021 (Institute of Physics) · 25 pages, 3 figures; figure added, references added

arxiv created 2010/05/28 · openalex publication_date 2010/07/20 · arxiv updated 2015/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

We study a model of scalar field with a general non-minimal kinetic coupling to itself and to the curvature, as a source of dark energy, and analyze the cosmological dynamics of this model and the issue of accelerated expansion. Solutions giving rise to power-law expansion have been found. The dynamical equation of state is studied for the two cases, without and with free kinetic term . In the first case, a behavior very close to that of the cosmological constant was found. In the second case, a solution was found, which match the current phenomenology of the dark energy. The model shows a rich variety of dynamical scenarios.

Citations

• Kinematic constraints to the transition redshift from supernovae type Ia union data
• The fundamental constants and their variation: observational and theoretical status
• The one-loop effective action in phi4theory coupled non-linearly with the power of the curvature and the dynamical origin of the cosmological constant
• Cosmological Constant - the Weight of the Vacuum
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• Dynamics of dark energy
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• Kinetically driven quintessence
• Cosmological constraints from the SDSS luminous red galaxies
• Three‐YearWilkinson Microwave Anisotropy Probe(WMAP) Observations: Implications for Cosmology
• INTRODUCTION TO MODIFIED GRAVITY AND GRAVITATIONAL ALTERNATIVE FOR DARK ENERGY

Cited by

• Non-Gaussianities of single field inflation with nonminimal coupling
• Thermodynamics of general scalar-tensor theory with non-minimally derivative coupling