Special Issue "Geometric and Topological Models of Dark Matter and Dark Energy"

A special issue of Universe (ISSN 2218-1997). This special issue belongs to the section "Cosmology".

Deadline for manuscript submissions: 30 June 2021.

Special Issue Editors

Dr. Torsten Asselmeyer-Maluga
Guest Editor
German Aerospace Center (DLR), 10178 Berlin, Germany
Interests: quantum gravity; differential topology of spacetime; cosmology; dark energy and matter; foundation of quantum field theory; quantum geometry
Dr. Jerzy Król

Guest Editor
University of Information Technology and Management, Cognitive Science and Mathematical Modelling Chair, ul. Sucharskiego 2, 35-225 Rzeszow, Poland
Interests: general relativity; category theory; curvature; synthetic differential geometry; formal set theory methods in smooth manifolds and space-time; space-time singularity

Special Issue Information

Dear Colleagues,

The appearance of large-scale cosmic structures (e.g., the distribution of galaxies) is very hard to understand, particularly in light of the relatively smooth microwave background as measured by the satellites COBE, WMAP, and Planck. One way to accommodate this is to go to a dark matter model in which you have cold dark matter to act as a seed for galaxy formation. One further great mystery in modern cosmology is the accelerated expansion of the universe as driven by dark energy.

Today, dark energy and dark matter are part of the standard model in cosmology. The nature of dark matter and dark energy is currently a hot topic. However, what is known experimentally? Dark matter was never detected in any experiments, but its impact can be observed by gravitational lensing. Current experiments favour the concept of a cosmological constant for dark energy.

Most models of dark matter are related to particle physics, such as axions, sterile neutrinos, etc. Similar ideas such as timely varying scalar fields, known as quintessence, should represent dark energy. However, experimentally, no dark matter particle has been detected and no sign for quintessence has been found. Therefore, why not consider new ideas?

We wish to invite both original and review papers to this Special Issue that particularly emphasize ideas and problems of frameworks based on geometry and/or topology. We believe that such frameworks have a potential to explain dark matter and dark energy at least partially. We are interested in collecting contributions on a broad range of approaches and ideas that emphasize the topological nature of dark matter and dark energy.

Dr. Torsten Asselmeyer-Maluga
Dr. Jerzy Król
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All papers will be peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Universe is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Published Papers (1 paper)

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Open AccessArticle
Dark Matter as Gravitational Solitons in the Weak Field Limit
Universe 2020, 6(12), 234; https://doi.org/10.3390/universe6120234 - 09 Dec 2020
Cited by 1 | Viewed by 354
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 [...] Read more.
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. Full article
(This article belongs to the Special Issue Geometric and Topological Models of Dark Matter and Dark Energy)
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