Dark Matter as Gravitational Solitons in the Weak Field Limit

Dark Matter as Gravitational Solitons in the Weak Field Limit

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...

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Main Authors: Torsten Asselmeyer-Maluga, Jerzy Król
Format: Article
Language:English
Published: MDPI AG 2020-12-01
Series:Universe
Subjects:
dark matter
gravitational solitons
exotic smoothness of 4-manifolds
Online Access:https://www.mdpi.com/2218-1997/6/12/234
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spelling doaj-20e356b6831c410a9049ae2506f0bc012020-12-10T00:00:58ZengMDPI AGUniverse2218-19972020-12-01623423410.3390/universe6120234Dark Matter as Gravitational Solitons in the Weak Field LimitTorsten Asselmeyer-Maluga0Jerzy Król1German Aerospace Center (DLR), Rosa-Luxemburg-Str. 2, D-10178 Berlin, GermanyChair of Cognitive Science and Mathematical Modeling, University of Information Technology and Management, ul. Sucharskiego 2, 35-225 Rzeszw, PolandIn 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 <inline-formula><math display="inline"><semantics><mrow><mi>w</mi><mo>=</mo><mn>0</mn></mrow></semantics></math></inline-formula> as matter.https://www.mdpi.com/2218-1997/6/12/234dark mattergravitational solitonsexotic smoothness of 4-manifolds
collection DOAJ
language English
format Article
sources DOAJ
author Torsten Asselmeyer-Maluga
Jerzy Król
spellingShingle Torsten Asselmeyer-Maluga
Jerzy Król
Dark Matter as Gravitational Solitons in the Weak Field Limit
Universe
dark matter
gravitational solitons
exotic smoothness of 4-manifolds
author_facet Torsten Asselmeyer-Maluga
Jerzy Król
author_sort Torsten Asselmeyer-Maluga
title Dark Matter as Gravitational Solitons in the Weak Field Limit
title_short Dark Matter as Gravitational Solitons in the Weak Field Limit
title_full Dark Matter as Gravitational Solitons in the Weak Field Limit
title_fullStr Dark Matter as Gravitational Solitons in the Weak Field Limit
title_full_unstemmed Dark Matter as Gravitational Solitons in the Weak Field Limit
title_sort dark matter as gravitational solitons in the weak field limit
publisher MDPI AG
series Universe
issn 2218-1997
publishDate 2020-12-01
description 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 <inline-formula><math display="inline"><semantics><mrow><mi>w</mi><mo>=</mo><mn>0</mn></mrow></semantics></math></inline-formula> as matter.
topic dark matter
gravitational solitons
exotic smoothness of 4-manifolds
url https://www.mdpi.com/2218-1997/6/12/234
work_keys_str_mv AT torstenasselmeyermaluga darkmatterasgravitationalsolitonsintheweakfieldlimit
AT jerzykrol darkmatterasgravitationalsolitonsintheweakfieldlimit
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