Wormholes and solitonic shells in five-dimensional DGP theory

TL;DR

This paper constructs and analyzes five-dimensional wormholes in DGP gravity, demonstrating their stability, energy condition compliance, and attractive gravitational fields, with potential implications for higher-dimensional theories.

Contribution

It introduces stable, energy-condition-satisfying wormholes in five-dimensional DGP theory, including solitonic shells, and studies their dynamics and stability under perturbations.

Findings

Wormholes can be supported without violating energy conditions.

Stable wormholes exist with small squared speed of sound.

Gravitational field is attractive for positive mass .

Abstract

We build five-dimensional spherically symmetric wormholes within the DGP theory. We calculate the energy localized on the shell, and we find that the wormholes could be supported by matter not violating the energy conditions. We also show that solitonic shells characterized by zero pressure and zero energy can exist; thereafter we make some observations regarding their dynamic on the phase plane. In addition, we concentrate on the mechanical stability of wormholes under radial perturbation preserving the original spherical symmetry. In order to do that, we consider linearized perturbations around static solutions. We obtain that for certain values of the mass $\mu$ and crossover scale $r_{c}$ stable wormholes exist with very small values of squared speed sound. Unlike the case of Einstein's gravity, this type of wormholes fulfills the energy conditions. Finally, we show that the gravitational field associated with these wormhole configurations is attractive for $\mu>0$.