The Bach-flat and conformally Einstein equations for Siklos spacetimes
Within the large class of Siklos spacetimes, we completely classify Bach-flat metrics, which turn out to be related to a bi-harmonicity property of the defining function. Using this classification, we tackle the conformally Einstein property and several classes of conformally Einstein Siklos metrics...
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| Format: | Article |
| Language: | English |
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Shahid Bahonar University of Kerman
2025-01-01
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| Series: | Journal of Mahani Mathematical Research |
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| Online Access: | https://jmmrc.uk.ac.ir/article_4534_9949d72be5e208da9c38266a707cf024.pdf |
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| author | Amirhesam Zaeim |
| author_facet | Amirhesam Zaeim |
| author_sort | Amirhesam Zaeim |
| collection | DOAJ |
| description | Within the large class of Siklos spacetimes, we completely classify Bach-flat metrics, which turn out to be related to a bi-harmonicity property of the defining function. Using this classification, we tackle the conformally Einstein property and several classes of conformally Einstein Siklos metrics are then determined, including all the homogeneous examples. |
| format | Article |
| id | doaj-art-55ad496e18994152b690099e00ba143d |
| institution | Kabale University |
| issn | 2251-7952 2645-4505 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Shahid Bahonar University of Kerman |
| record_format | Article |
| series | Journal of Mahani Mathematical Research |
| spelling | doaj-art-55ad496e18994152b690099e00ba143d2025-01-04T19:30:18ZengShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-79522645-45052025-01-0114123324810.22103/jmmr.2024.23460.16524534The Bach-flat and conformally Einstein equations for Siklos spacetimesAmirhesam Zaeim0Department of Mathematics, Payame noor University, P.O. Box 19395-4697, Tehran, IranWithin the large class of Siklos spacetimes, we completely classify Bach-flat metrics, which turn out to be related to a bi-harmonicity property of the defining function. Using this classification, we tackle the conformally Einstein property and several classes of conformally Einstein Siklos metrics are then determined, including all the homogeneous examples.https://jmmrc.uk.ac.ir/article_4534_9949d72be5e208da9c38266a707cf024.pdfsiklos spacetimesbach-flat metricsconformally einstein metrics |
| spellingShingle | Amirhesam Zaeim The Bach-flat and conformally Einstein equations for Siklos spacetimes Journal of Mahani Mathematical Research siklos spacetimes bach-flat metrics conformally einstein metrics |
| title | The Bach-flat and conformally Einstein equations for Siklos spacetimes |
| title_full | The Bach-flat and conformally Einstein equations for Siklos spacetimes |
| title_fullStr | The Bach-flat and conformally Einstein equations for Siklos spacetimes |
| title_full_unstemmed | The Bach-flat and conformally Einstein equations for Siklos spacetimes |
| title_short | The Bach-flat and conformally Einstein equations for Siklos spacetimes |
| title_sort | bach flat and conformally einstein equations for siklos spacetimes |
| topic | siklos spacetimes bach-flat metrics conformally einstein metrics |
| url | https://jmmrc.uk.ac.ir/article_4534_9949d72be5e208da9c38266a707cf024.pdf |
| work_keys_str_mv | AT amirhesamzaeim thebachflatandconformallyeinsteinequationsforsiklosspacetimes AT amirhesamzaeim bachflatandconformallyeinsteinequationsforsiklosspacetimes |