Localization of nonlocal cosmological models with quadratic potentials in the case of double roots

Understand

Nonlocal cosmological models with quadratic potentials are considered.

• We study the action with an arbitrary analytic function F(\Box_g), which has both double and simple roots.
• The formulae for nonlocal energy-momentum tensor, which correspond to double roots, have been obtained.
• The way to find particular solutions for nonlocal Einstein equations in the case when F(\Box_g) has both simple and double roots has been proposed.