Non-minimal derivative coupling in Palatini cosmology: acceleration in chaotic inflation potential

Abstract

NMDC-Palatini cosmology in slow-roll regime is of our interests. We present flat FLRW cosmological NMDC-Palatini field equations and acceleration condition. Late time trajectory is approximated. Chaotic inflation potential is considered here as it is viable in a range of positive coupling constant as constrained by CMB results. Phase portraits show that the NMDC-Palatini gives new saddle-point solutions. In $V\propto {\varphi }^2$ potential, the NMDC-Palatini effect enlarges the acceleration-allowed region from that of GR case.

arXiv comment7 pages, 1 figure, extended content of the version to appear in Journal of Physics Conference Series (Proceedings of the 12th Siam Physics Congress (2017))

References in corpus (22)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Dynamics of dark energy
• Cosmological parameters from SDSS and WMAP
• Discovery of a Supernova Explosion at Half the Age of the Universe and its Cosmological Implications
• Kinetically Driven Quintessence
• On Physical Equivalence between Nonlinear Gravity Theories
• New Model of Inflation with Non-minimal Derivative Coupling of Standard Model Higgs Boson to Gravity
• D=4 Super Yang Mills, D=5 gauged supergravity and D=4 conformal supergravity
• Exact cosmological solutions with nonminimal derivative coupling
• Cosmology with Nonminimal Derivative Couplings
• Quintessence and phantom cosmology with non-minimal derivative coupling
• The Universality of Einstein Equations
• Nonminimal Derivative Couplings and Inflation in Generalized Theories of Gravity
• Constraining Dark Energy with X-ray Galaxy Clusters, Supernovae and the Cosmic Microwave Background
• Nonminimal Derivative Coupling and the Recovering of Cosmological Constant
• Observational tests of inflation with a field derivative coupling to gravity
• Conformal Anomaly for Dilaton Coupled Theories from AdS/CFT Correspondence
• General Non-minimal Kinetic coupling to gravity
• Realistic cosmological scenario with non-minimal kinetic coupling
• Super-acceleration in non-minimal derivative coupling model
• Non-minimal derivative coupling gravity in cosmology

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• Derivative coupling of inflaton to $R^{(3)}$
• No scalar hair in nonminimal derivative coupling model for Neumann and Dirichlet reflecting star