Premetric teleparallel theory of gravity and its local and linear constitutive law
Abstract We continue to investigate the premetric teleparallel theory of gravity (TG) with the coframe (tetrad) as gravitational potential. We start from the field equations and a local and linear constitutive law. We create a Tonti diagram of TG in order to disclose the structure of TG. Subsequentl...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-11-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-018-6344-5 |
| _version_ | 1828377539853156352 |
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| author | Yakov Itin Yuri N. Obukhov Jens Boos Friedrich W. Hehl |
| author_facet | Yakov Itin Yuri N. Obukhov Jens Boos Friedrich W. Hehl |
| author_sort | Yakov Itin |
| collection | DOAJ |
| description | Abstract We continue to investigate the premetric teleparallel theory of gravity (TG) with the coframe (tetrad) as gravitational potential. We start from the field equations and a local and linear constitutive law. We create a Tonti diagram of TG in order to disclose the structure of TG. Subsequently we irreducibly decompose the 6th order constitutive tensor under the linear group. Moreover, we construct the most general constitutive tensors from the metric and the totally antisymmetric Levi-Civita symbol, and we demonstrate that they encompass nontrivial axion and skewon type pieces. Using these tools, we derive for TG in the geometric-optics approximation propagating massless spin 0, 1, and 2 waves, including the special case of Einstein’s general relativity. |
| first_indexed | 2024-04-14T08:13:47Z |
| format | Article |
| id | doaj.art-6f49b0a9dd3b455eb7abf98cf341560f |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-04-14T08:13:47Z |
| publishDate | 2018-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-6f49b0a9dd3b455eb7abf98cf341560f2022-12-22T02:04:28ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522018-11-01781112310.1140/epjc/s10052-018-6344-5Premetric teleparallel theory of gravity and its local and linear constitutive lawYakov Itin0Yuri N. Obukhov1Jens Boos2Friedrich W. Hehl3Institute of Mathematics, The Hebrew University of Jerusalem and Jerusalem College of TechnologyTheoretical Physics Laboratory, Nuclear Safety Institute, Russian Academy of SciencesTheoretical Physics Institute, University of AlbertaInstitute for Theoretical Physics, University of CologneAbstract We continue to investigate the premetric teleparallel theory of gravity (TG) with the coframe (tetrad) as gravitational potential. We start from the field equations and a local and linear constitutive law. We create a Tonti diagram of TG in order to disclose the structure of TG. Subsequently we irreducibly decompose the 6th order constitutive tensor under the linear group. Moreover, we construct the most general constitutive tensors from the metric and the totally antisymmetric Levi-Civita symbol, and we demonstrate that they encompass nontrivial axion and skewon type pieces. Using these tools, we derive for TG in the geometric-optics approximation propagating massless spin 0, 1, and 2 waves, including the special case of Einstein’s general relativity.http://link.springer.com/article/10.1140/epjc/s10052-018-6344-5 |
| spellingShingle | Yakov Itin Yuri N. Obukhov Jens Boos Friedrich W. Hehl Premetric teleparallel theory of gravity and its local and linear constitutive law European Physical Journal C: Particles and Fields |
| title | Premetric teleparallel theory of gravity and its local and linear constitutive law |
| title_full | Premetric teleparallel theory of gravity and its local and linear constitutive law |
| title_fullStr | Premetric teleparallel theory of gravity and its local and linear constitutive law |
| title_full_unstemmed | Premetric teleparallel theory of gravity and its local and linear constitutive law |
| title_short | Premetric teleparallel theory of gravity and its local and linear constitutive law |
| title_sort | premetric teleparallel theory of gravity and its local and linear constitutive law |
| url | http://link.springer.com/article/10.1140/epjc/s10052-018-6344-5 |
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