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Open AccessArticle

Dark Matter as Gravitational Solitons in the Weak Field Limit

by 1,*,† and 2,†
1
German Aerospace Center (DLR), Rosa-Luxemburg-Str. 2, D-10178 Berlin, Germany
2
Chair of Cognitive Science and Mathematical Modeling, University of Information Technology and Management, ul. Sucharskiego 2, 35-225 Rzeszw, Poland
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Universe 2020, 6(12), 234; https://doi.org/10.3390/universe6120234
Received: 16 October 2020 / Revised: 22 November 2020 / Accepted: 7 December 2020 / Published: 9 December 2020
(This article belongs to the Special Issue Geometric and Topological Models of Dark Matter and Dark Energy)
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. View Full-Text
Keywords: dark matter; gravitational solitons; exotic smoothness of 4-manifolds dark matter; gravitational solitons; exotic smoothness of 4-manifolds
MDPI and ACS Style

Asselmeyer-Maluga, T.; Król, J. Dark Matter as Gravitational Solitons in the Weak Field Limit. Universe 2020, 6, 234. https://doi.org/10.3390/universe6120234

AMA Style

Asselmeyer-Maluga T, Król J. Dark Matter as Gravitational Solitons in the Weak Field Limit. Universe. 2020; 6(12):234. https://doi.org/10.3390/universe6120234

Chicago/Turabian Style

Asselmeyer-Maluga, Torsten; Król, Jerzy. 2020. "Dark Matter as Gravitational Solitons in the Weak Field Limit" Universe 6, no. 12: 234. https://doi.org/10.3390/universe6120234

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