Dark Matter as gravitational solitons in the weak field limit

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.

11 pages, no figure, ReVTeX, This article belongs to the Special Issue Geometric and Topological Models of Dark Matter and Dark Energy of the journal universe

References in corpus (3)

• Applications of the Gauss-Bonnet theorem to gravitational lensing
• Braids, 3-manifolds, elementary particles: number theory and symmetry in particle physics
• How to include fermions into General relativity by exotic smoothness

Cited by in corpus (1)

• Axialgravisolitons at infinite corners