Metrics on End-Periodic Manifolds as Models for Dark Matter
In this paper we will detail an approach to generate metrics and matter models on end-periodic manifolds, which are used extensively in the study of the exotic smooth structures of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><s...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-03-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/8/3/167 |
| _version_ | 1797441269247508480 |
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| author | Christopher L. Duston |
| author_facet | Christopher L. Duston |
| author_sort | Christopher L. Duston |
| collection | DOAJ |
| description | In this paper we will detail an approach to generate metrics and matter models on end-periodic manifolds, which are used extensively in the study of the exotic smooth structures of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi mathvariant="double-struck">R</mi><mn>4</mn></msup></semantics></math></inline-formula>. After an overview of the technique, we will present two specific examples, discuss the associated matter models by solving the Einstein equations, and determine the physical viability by examining the energy conditions. We compare the resulting model directly with existing models of matter distributions in extragalactic systems, to highlight the viability of utilizing exotic smooth structures to understand the existence and distribution of dark matter. |
| first_indexed | 2024-03-09T12:20:37Z |
| format | Article |
| id | doaj.art-2e138786780e443ea6286ce2b4028f9a |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-09T12:20:37Z |
| publishDate | 2022-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-2e138786780e443ea6286ce2b4028f9a2023-11-30T22:40:43ZengMDPI AGUniverse2218-19972022-03-018316710.3390/universe8030167Metrics on End-Periodic Manifolds as Models for Dark MatterChristopher L. Duston0Department of Physics, Merrimack College, North Andover, MA 01845, USAIn this paper we will detail an approach to generate metrics and matter models on end-periodic manifolds, which are used extensively in the study of the exotic smooth structures of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi mathvariant="double-struck">R</mi><mn>4</mn></msup></semantics></math></inline-formula>. After an overview of the technique, we will present two specific examples, discuss the associated matter models by solving the Einstein equations, and determine the physical viability by examining the energy conditions. We compare the resulting model directly with existing models of matter distributions in extragalactic systems, to highlight the viability of utilizing exotic smooth structures to understand the existence and distribution of dark matter.https://www.mdpi.com/2218-1997/8/3/167general relativitydifferential geometryexotic smooth structuredark mattergravitational lensing |
| spellingShingle | Christopher L. Duston Metrics on End-Periodic Manifolds as Models for Dark Matter Universe general relativity differential geometry exotic smooth structure dark matter gravitational lensing |
| title | Metrics on End-Periodic Manifolds as Models for Dark Matter |
| title_full | Metrics on End-Periodic Manifolds as Models for Dark Matter |
| title_fullStr | Metrics on End-Periodic Manifolds as Models for Dark Matter |
| title_full_unstemmed | Metrics on End-Periodic Manifolds as Models for Dark Matter |
| title_short | Metrics on End-Periodic Manifolds as Models for Dark Matter |
| title_sort | metrics on end periodic manifolds as models for dark matter |
| topic | general relativity differential geometry exotic smooth structure dark matter gravitational lensing |
| url | https://www.mdpi.com/2218-1997/8/3/167 |
| work_keys_str_mv | AT christopherlduston metricsonendperiodicmanifoldsasmodelsfordarkmatter |