# Ricci curvature non-minimal derivative coupling cosmology with field re-scaling

Ricci curvature non-minimal derivative coupling cosmology with field re-scaling In this letter, cosmology of a simple NMDC gravity with $$\xi R \phi _{,\mu }\phi ^{,\mu }$$ ξ R ϕ , μ ϕ , μ term and a free kinetic term is considered in flat geometry and in presence of dust matter. A logarithm field transformation $$\phi ' = \mu \ln \phi$$ ϕ ′ = μ ln ϕ is proposed phenomenologically. Assuming slow-roll approximation, equation of motion, scalar field solution and potential are derived as function of kinematic variables. The field solution and potential are found straightforwardly for power-law, de-Sitter and super-acceleration expansions. Slow-roll parameters and slow-roll condition are found to depend on more than one variable. At large field the re-scaling effect can enhance the acceleration. For slow-rolling field, the negative coupling $$\xi$$ ξ could enhance the effect of acceleration. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png General Relativity and Gravitation Springer Journals

# Ricci curvature non-minimal derivative coupling cosmology with field re-scaling

, Volume 49 (9) – Aug 20, 2017
10 pages

/lp/springer_journal/ricci-curvature-non-minimal-derivative-coupling-cosmology-with-field-IizDwTdpfJ
Publisher
Springer US
Subject
Physics; Theoretical, Mathematical and Computational Physics; Classical and Quantum Gravitation, Relativity Theory; Differential Geometry; Astronomy, Astrophysics and Cosmology; Quantum Physics
ISSN
0001-7701
eISSN
1572-9532
D.O.I.
10.1007/s10714-017-2287-7
Publisher site
See Article on Publisher Site

### Abstract

In this letter, cosmology of a simple NMDC gravity with $$\xi R \phi _{,\mu }\phi ^{,\mu }$$ ξ R ϕ , μ ϕ , μ term and a free kinetic term is considered in flat geometry and in presence of dust matter. A logarithm field transformation $$\phi ' = \mu \ln \phi$$ ϕ ′ = μ ln ϕ is proposed phenomenologically. Assuming slow-roll approximation, equation of motion, scalar field solution and potential are derived as function of kinematic variables. The field solution and potential are found straightforwardly for power-law, de-Sitter and super-acceleration expansions. Slow-roll parameters and slow-roll condition are found to depend on more than one variable. At large field the re-scaling effect can enhance the acceleration. For slow-rolling field, the negative coupling $$\xi$$ ξ could enhance the effect of acceleration.

### Journal

General Relativity and GravitationSpringer Journals

Published: Aug 20, 2017

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