Diverse regular spacetimes using a parametrised density profile
Abstract We explore the construction of diverse regular spacetimes (black holes and defects) in General Relativity using a generic parametrised density profile (the Dekel–Zhao profile), which includes, for specific parameter choices, various well-known examples usually studied in the context of dark...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-07-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-025-14483-5 |
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| _version_ | 1849332129134018560 |
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| author | Anjan Kar Sayan Kar |
| author_facet | Anjan Kar Sayan Kar |
| author_sort | Anjan Kar |
| collection | DOAJ |
| description | Abstract We explore the construction of diverse regular spacetimes (black holes and defects) in General Relativity using a generic parametrised density profile (the Dekel–Zhao profile), which includes, for specific parameter choices, various well-known examples usually studied in the context of dark matter halos. Our solutions, in the Schwarzschild gauge, include new regular black holes as well as non-singular solutions representing spacetime defects. For a sub-class of metrics, a TOV equation approach with a chosen equation of state works. The status of the energy conditions and the issue of geodesic completeness are explored in detail. We also provide possible Lagrangian density constructions for the matter energy–momentum tensors. Further, we study the shadow radius of the new regular black holes, and compare our findings with available observational results from the EHT collaboration. Finally, for the defect solution, we present a model for a stable star (a gravastar) by explicit use of the junction conditions and obtain relevant consequences highlighting its characteristic features. |
| format | Article |
| id | doaj-art-8d948dffcf5841d6af3c20d9e52c7202 |
| institution | Kabale University |
| issn | 1434-6052 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-8d948dffcf5841d6af3c20d9e52c72022025-08-20T03:46:19ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-07-0185712010.1140/epjc/s10052-025-14483-5Diverse regular spacetimes using a parametrised density profileAnjan Kar0Sayan Kar1Department of Physics, Indian Institute of TechnologyDepartment of Physics, Indian Institute of TechnologyAbstract We explore the construction of diverse regular spacetimes (black holes and defects) in General Relativity using a generic parametrised density profile (the Dekel–Zhao profile), which includes, for specific parameter choices, various well-known examples usually studied in the context of dark matter halos. Our solutions, in the Schwarzschild gauge, include new regular black holes as well as non-singular solutions representing spacetime defects. For a sub-class of metrics, a TOV equation approach with a chosen equation of state works. The status of the energy conditions and the issue of geodesic completeness are explored in detail. We also provide possible Lagrangian density constructions for the matter energy–momentum tensors. Further, we study the shadow radius of the new regular black holes, and compare our findings with available observational results from the EHT collaboration. Finally, for the defect solution, we present a model for a stable star (a gravastar) by explicit use of the junction conditions and obtain relevant consequences highlighting its characteristic features.https://doi.org/10.1140/epjc/s10052-025-14483-5 |
| spellingShingle | Anjan Kar Sayan Kar Diverse regular spacetimes using a parametrised density profile European Physical Journal C: Particles and Fields |
| title | Diverse regular spacetimes using a parametrised density profile |
| title_full | Diverse regular spacetimes using a parametrised density profile |
| title_fullStr | Diverse regular spacetimes using a parametrised density profile |
| title_full_unstemmed | Diverse regular spacetimes using a parametrised density profile |
| title_short | Diverse regular spacetimes using a parametrised density profile |
| title_sort | diverse regular spacetimes using a parametrised density profile |
| url | https://doi.org/10.1140/epjc/s10052-025-14483-5 |
| work_keys_str_mv | AT anjankar diverseregularspacetimesusingaparametriseddensityprofile AT sayankar diverseregularspacetimesusingaparametriseddensityprofile |