Noether Symmetry Analysis of the Klein--Gordon and Wave Equations in Bianchi I Spacetime
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913202217943040 |
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| author | Camci, Ugur |
| author_facet | Camci, Ugur |
| contents | We investigate the Noether symmetries of the Klein--Gordon Lagrangian for Bianchi I spacetime. This is accomplished using a set of new Noether symmetry relations for the Klein--Gordon Lagrangian of Bianchi I spacetime, which reduces to the wave equation in a special case. A detailed Noether symmetry analysis of the Klein--Gordon and the wave equations for Bianchi I spacetime is presented, and the corresponding conservation laws are derived. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_11041 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Noether Symmetry Analysis of the Klein--Gordon and Wave Equations in Bianchi I Spacetime Camci, Ugur General Relativity and Quantum Cosmology We investigate the Noether symmetries of the Klein--Gordon Lagrangian for Bianchi I spacetime. This is accomplished using a set of new Noether symmetry relations for the Klein--Gordon Lagrangian of Bianchi I spacetime, which reduces to the wave equation in a special case. A detailed Noether symmetry analysis of the Klein--Gordon and the wave equations for Bianchi I spacetime is presented, and the corresponding conservation laws are derived. |
| title | Noether Symmetry Analysis of the Klein--Gordon and Wave Equations in Bianchi I Spacetime |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2401.11041 |