Gravitational models with non-local scalar fields

Abstract

A general class of f(R) gravity models with minimally coupling a nonlocal scalar field is considered. The Ostrogradski representation for nonlocal gravitational models with a quadratic potential and the way of its localization are proposed. We study the action with an arbitrary analytic function $F(\square )$, which has both simple and double roots. The way of localization allows to find particular solutions of nonlocal equations of gravity.

7 pages, has been published in the proceedings of the XIXth International Workshop on High Energy Physics and Quantum Field Theory (QFTHEP'2010), http://pos.sissa.it/cgi-bin/reader/conf.cgi?confid=104

References in corpus (10)

• Route to nonlocal cosmology
• Bouncing and Accelerating Solutions in Nonlocal Stringy Models
• Nonlocal gravity and the diffusion equation
• Dynamics in Nonlocal Cosmological Models Derived from String Field Theory
• Diffusing non-local inflation: Solving the field equations as an initial value problem
• On the Null Energy Condition and Cosmology
• Stretching the Inflaton Potential with Kinetic Energy
• Localization of nonlocal cosmological models with quadratic potentials in the case of double roots
• Crossing the phantom divide
• Multi-scalar field cosmology from SFT: an exactly solvable approximation