Einstein Geometrization Philosophy and Differential Identities in PAP-Geometry
The importance of Einstein’s geometrization philosophy, as an alternative to the least action principle, in constructing general relativity (GR), is illuminated. The role of differential identities in this philosophy is clarified. The use of Bianchi identity to write the field equations of GR is sho...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2016/1037849 |
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| _version_ | 1832558907279540224 |
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| author | M. I. Wanas Nabil L. Youssef W. El Hanafy S. N. Osman |
| author_facet | M. I. Wanas Nabil L. Youssef W. El Hanafy S. N. Osman |
| author_sort | M. I. Wanas |
| collection | DOAJ |
| description | The importance of Einstein’s geometrization philosophy, as an alternative to the least action principle, in constructing general relativity (GR), is illuminated. The role of differential identities in this philosophy is clarified. The use of Bianchi identity to write the field equations of GR is shown. Another similar identity in the absolute parallelism geometry is given. A more general differential identity in the parameterized absolute parallelism geometry is derived. Comparison and interrelationships between the above mentioned identities and their role in constructing field theories are discussed. |
| format | Article |
| id | doaj-art-fc5c0e56d2e54f0889057e6e7b0bb2c0 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-fc5c0e56d2e54f0889057e6e7b0bb2c02025-02-03T01:31:18ZengWileyAdvances in Mathematical Physics1687-91201687-91392016-01-01201610.1155/2016/10378491037849Einstein Geometrization Philosophy and Differential Identities in PAP-GeometryM. I. Wanas0Nabil L. Youssef1W. El Hanafy2S. N. Osman3Astronomy Department, Faculty of Science, Cairo University, Giza, EgyptEgyptian Relativity Group, Cairo University, Giza 12613, EgyptEgyptian Relativity Group, Cairo University, Giza 12613, EgyptAstronomy Department, Faculty of Science, Cairo University, Giza, EgyptThe importance of Einstein’s geometrization philosophy, as an alternative to the least action principle, in constructing general relativity (GR), is illuminated. The role of differential identities in this philosophy is clarified. The use of Bianchi identity to write the field equations of GR is shown. Another similar identity in the absolute parallelism geometry is given. A more general differential identity in the parameterized absolute parallelism geometry is derived. Comparison and interrelationships between the above mentioned identities and their role in constructing field theories are discussed.http://dx.doi.org/10.1155/2016/1037849 |
| spellingShingle | M. I. Wanas Nabil L. Youssef W. El Hanafy S. N. Osman Einstein Geometrization Philosophy and Differential Identities in PAP-Geometry Advances in Mathematical Physics |
| title | Einstein Geometrization Philosophy and Differential Identities in PAP-Geometry |
| title_full | Einstein Geometrization Philosophy and Differential Identities in PAP-Geometry |
| title_fullStr | Einstein Geometrization Philosophy and Differential Identities in PAP-Geometry |
| title_full_unstemmed | Einstein Geometrization Philosophy and Differential Identities in PAP-Geometry |
| title_short | Einstein Geometrization Philosophy and Differential Identities in PAP-Geometry |
| title_sort | einstein geometrization philosophy and differential identities in pap geometry |
| url | http://dx.doi.org/10.1155/2016/1037849 |
| work_keys_str_mv | AT miwanas einsteingeometrizationphilosophyanddifferentialidentitiesinpapgeometry AT nabillyoussef einsteingeometrizationphilosophyanddifferentialidentitiesinpapgeometry AT welhanafy einsteingeometrizationphilosophyanddifferentialidentitiesinpapgeometry AT snosman einsteingeometrizationphilosophyanddifferentialidentitiesinpapgeometry |