Non-Local Gravity Wormholes

TL;DR

This paper explores non-local gravity theories to find stable, traversable wormhole solutions that do not require exotic matter, by analyzing specific models and their energy conditions.

Contribution

It demonstrates that non-local gravity can support stable wormholes without exotic matter, using particular integral kernel models and scalar field configurations.

Findings

Non-local gravity enables stable, traversable wormholes.

Energy conditions are satisfied without exotic matter.

Specific models yield asymptotically flat wormhole solutions.

Abstract

We consider Non-local Gravity in view to obtain stable and traversable wormhole solutions. In particular, the class of Non-local Integral Kernel Theories of Gravity, with the inverse d'Alembert operator in the gravitational action, is taken into account. We obtain constraints for the null energy condition and derive the field equations. Two special cases for the related Klein-Gordon equation are assumed: one where the function in the gravitational action has a linear form and another one with exponential form. In each case, we take into account two forms for scalar fields and derive the shape functions. Asymptotic flatness and flaring-out conditions are checked. Energy conditions and dynamics of the solutions are examined at the throat. The main result is that non-local gravity contributions allow stability and traversability of the wormhole without considering any exotic matter.