Taming the beast: diffusion method in nonlocal gravity

TL;DR

This paper introduces a method to solve nonlinear equations in nonlocal gravity theories, focusing on specific form factors that lead to a finite number of degrees of freedom and initial conditions.

Contribution

It provides a novel approach to handle the nonlinear dynamical equations in nonlocal gravity with particular form factors, simplifying the analysis of such theories.

Findings

Method successfully solves equations in certain nonlocal gravity models

Finite degrees of freedom are identified for specific form factors

Facilitates analysis of renormalizable nonlocal gravity theories

Abstract

We present a method to solve the nonlinear dynamical equations of motion in gravitational theories with fundamental nonlocalities of a certain type. For these specific form factors, which appear in some renormalizable theories, the number of field degrees of freedom and of initial conditions is finite.