The Lanczos Potential for Bianchi Spacetime
The form and application of the Lanczos potential for Bianchi spacetime are studied. The Lanczos potential is found in some specific cases, then the general case is studied. It leads to two coupled first order partial differential equations which, although they so far have not been solved in general...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-08-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/8/9/441 |
| _version_ | 1797481730412642304 |
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| author | Mark D. Roberts |
| author_facet | Mark D. Roberts |
| author_sort | Mark D. Roberts |
| collection | DOAJ |
| description | The form and application of the Lanczos potential for Bianchi spacetime are studied. The Lanczos potential is found in some specific cases, then the general case is studied. It leads to two coupled first order partial differential equations which, although they so far have not been solved in general, can be solved for many configurations. The application is to cosmic energetics: in other words to the study of the energy of the gravitational and other fields in the Universe. |
| first_indexed | 2024-03-09T22:18:41Z |
| format | Article |
| id | doaj.art-ebbd2e7311c24c49a366f23cd8967c73 |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-09T22:18:41Z |
| publishDate | 2022-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-ebbd2e7311c24c49a366f23cd8967c732023-11-23T19:18:32ZengMDPI AGUniverse2218-19972022-08-018944110.3390/universe8090441The Lanczos Potential for Bianchi SpacetimeMark D. Roberts0Independent Researcher, Guildford GU1 1FY, UKThe form and application of the Lanczos potential for Bianchi spacetime are studied. The Lanczos potential is found in some specific cases, then the general case is studied. It leads to two coupled first order partial differential equations which, although they so far have not been solved in general, can be solved for many configurations. The application is to cosmic energetics: in other words to the study of the energy of the gravitational and other fields in the Universe.https://www.mdpi.com/2218-1997/8/9/441Lanczos potetialBianchi spacetime |
| spellingShingle | Mark D. Roberts The Lanczos Potential for Bianchi Spacetime Universe Lanczos potetial Bianchi spacetime |
| title | The Lanczos Potential for Bianchi Spacetime |
| title_full | The Lanczos Potential for Bianchi Spacetime |
| title_fullStr | The Lanczos Potential for Bianchi Spacetime |
| title_full_unstemmed | The Lanczos Potential for Bianchi Spacetime |
| title_short | The Lanczos Potential for Bianchi Spacetime |
| title_sort | lanczos potential for bianchi spacetime |
| topic | Lanczos potetial Bianchi spacetime |
| url | https://www.mdpi.com/2218-1997/8/9/441 |
| work_keys_str_mv | AT markdroberts thelanczospotentialforbianchispacetime AT markdroberts lanczospotentialforbianchispacetime |