Wormholes respecting energy conditions and solitonic shells in DGP gravity

TL;DR

This paper constructs spherically symmetric wormholes in DGP gravity, demonstrating they can be supported by matter satisfying energy conditions and exploring the existence and dynamics of solitonic shells with zero energy and pressure.

Contribution

It introduces a method to build wormholes in DGP gravity that do not violate energy conditions and analyzes the properties of solitonic shells within this framework.

Findings

Wormholes can be supported by matter respecting energy conditions for certain parameters.

Existence of solitonic shells with zero energy and pressure.

Dynamic analysis of solitonic shells on the phase plane.

Abstract

We build spherically symmetric wormholes within the DGP theory. We calculate the energy localized on the shell, and we find that for certain values of the parameters wormholes could be supported by matter not violating the energy conditions. We also show that it could exist solitonic shells charaterized by zero pressure and zero energy; thereafter we make some observations regarding their dynamic on the phase plane.