An Interior Solution for the Kerr Metric: A Novel Approach
We present a novel approach for the construction of interior solutions for the Kerr metric, extending J. Ovalle’s foundational work through ellipsoidal coordinate transformations. By deriving a physically plausible interior solution that smoothly matches the Kerr exterior metric, we analyze the ener...
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| Format: | Article |
| Language: | English |
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MDPI AG
2025-01-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/11/1/23 |
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| _version_ | 1832587364098113536 |
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| author | Yu-Ching Chou |
| author_facet | Yu-Ching Chou |
| author_sort | Yu-Ching Chou |
| collection | DOAJ |
| description | We present a novel approach for the construction of interior solutions for the Kerr metric, extending J. Ovalle’s foundational work through ellipsoidal coordinate transformations. By deriving a physically plausible interior solution that smoothly matches the Kerr exterior metric, we analyze the energy conditions across various rotation parameters. Our findings reveal anisotropic fluid properties and energy condition behaviors in specific space-time regions, providing insights into the strong-field regime of rotating black holes. The proposed solution offers a more realistic description of rotating black hole interiors, with implications for understanding compact astrophysical objects. |
| format | Article |
| id | doaj-art-7d4e9bb587b34afcb73e85324b49b10d |
| institution | Kabale University |
| issn | 2218-1997 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj-art-7d4e9bb587b34afcb73e85324b49b10d2025-01-24T13:51:31ZengMDPI AGUniverse2218-19972025-01-011112310.3390/universe11010023An Interior Solution for the Kerr Metric: A Novel ApproachYu-Ching Chou0Health 101 Clinic, Taipei City 10078, TaiwanWe present a novel approach for the construction of interior solutions for the Kerr metric, extending J. Ovalle’s foundational work through ellipsoidal coordinate transformations. By deriving a physically plausible interior solution that smoothly matches the Kerr exterior metric, we analyze the energy conditions across various rotation parameters. Our findings reveal anisotropic fluid properties and energy condition behaviors in specific space-time regions, providing insights into the strong-field regime of rotating black holes. The proposed solution offers a more realistic description of rotating black hole interiors, with implications for understanding compact astrophysical objects.https://www.mdpi.com/2218-1997/11/1/23general relativitykerr interior metrickerr metricschwarzschild interior metricschwarzschild metric |
| spellingShingle | Yu-Ching Chou An Interior Solution for the Kerr Metric: A Novel Approach Universe general relativity kerr interior metric kerr metric schwarzschild interior metric schwarzschild metric |
| title | An Interior Solution for the Kerr Metric: A Novel Approach |
| title_full | An Interior Solution for the Kerr Metric: A Novel Approach |
| title_fullStr | An Interior Solution for the Kerr Metric: A Novel Approach |
| title_full_unstemmed | An Interior Solution for the Kerr Metric: A Novel Approach |
| title_short | An Interior Solution for the Kerr Metric: A Novel Approach |
| title_sort | interior solution for the kerr metric a novel approach |
| topic | general relativity kerr interior metric kerr metric schwarzschild interior metric schwarzschild metric |
| url | https://www.mdpi.com/2218-1997/11/1/23 |
| work_keys_str_mv | AT yuchingchou aninteriorsolutionforthekerrmetricanovelapproach AT yuchingchou interiorsolutionforthekerrmetricanovelapproach |