Dark Matter as gravitational solitons in the weak field limit

TL;DR

This paper proposes that dark matter may be composed of gravitational solitons called gravisolitons, which are stable weak-field solutions that mimic dark matter's gravitational effects without interacting with light.

Contribution

It introduces gravisolitons as a novel weak-field gravitational soliton model for dark matter, linking stability to spacetime properties and matching observed lensing and equation of state.

Findings

Gravisolitons cause gravitational lensing similar to ordinary matter.

They exhibit an equation of state w=0, consistent with dark matter.

The model supports dark matter's non-interaction with light.

Abstract

In this paper, we will describe the idea that dark matter partly consists of gravitational solitons (gravisolitons). The corresponding solution is valid for weak gravitational fields (weak field limit) with respect to a background metric. The stability of this soliton is connected with the existence of a special foliation and amazingly with the smoothness properties of spacetime. Gravisolitons have many properties of dark matter, such as no interaction with light but act on matter via gravitation. In this paper, we showed that the gravitational lensing effect of gravisolitons agreed with the lensing effect of usual matter. Furthermore, we obtained the same equation of state $w=0$ as matter.