Generating models of anisotropic compact stars
UDC 517.9 We consider two generators $z$ that describe metric potential $g_{rr}$ and the equation of state used to generate models of anisotropic compact stars in the static spherically symmetric space-time metric. In particular, we take a specific value of $z$ and the linear equation of state and g...
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| Date: | 2026 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Institute of Mathematics, NAS of Ukraine
2026
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8691 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513242432929792 |
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| author | Jangid, Ankita Ratanpal, B. S. Venkataratnam, K. K. Jangid, Ankita Ratanpal, B. S. Venkataratnam, K. K. |
| author_facet | Jangid, Ankita Ratanpal, B. S. Venkataratnam, K. K. Jangid, Ankita Ratanpal, B. S. Venkataratnam, K. K. |
| author_sort | Jangid, Ankita |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2026-03-21T13:40:37Z |
| description | UDC 517.9
We consider two generators $z$ that describe metric potential $g_{rr}$ and the equation of state used to generate models of anisotropic compact stars in the static spherically symmetric space-time metric. In particular, we take a specific value of $z$ and the linear equation of state and generate the solutions. The model is found to be well-behaved and results are examined for the 4U 1820-30 star. Moreover, the generators of several well-known models are described. |
| doi_str_mv | 10.3842/umzh.v77i7.8691 |
| first_indexed | 2026-03-24T03:41:34Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-8691 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:41:34Z |
| publishDate | 2026 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
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| spelling | umjimathkievua-article-86912026-03-21T13:40:37Z Generating models of anisotropic compact stars Generating models of anisotropic compact stars Jangid, Ankita Ratanpal, B. S. Venkataratnam, K. K. Jangid, Ankita Ratanpal, B. S. Venkataratnam, K. K. Linear equation of state, Compact stars, General relativity. UDC 517.9 We consider two generators $z$ that describe metric potential $g_{rr}$ and the equation of state used to generate models of anisotropic compact stars in the static spherically symmetric space-time metric. In particular, we take a specific value of $z$ and the linear equation of state and generate the solutions. The model is found to be well-behaved and results are examined for the 4U 1820-30 star. Moreover, the generators of several well-known models are described. УДК 517.9 Побудова моделей анізотропних компактних зірок Розглянуто два генератори \(z\), які визначають метричний потенціал \(g_{rr}\) і рівняння стану, що використовуються для побудови моделей анізотропних компактних зірок із використанням статичної сферично симетричної метрики простору-часу. Зокрема, розв’язки згенеровано для конкретного значення \(z\) і лінійного рівняння стану. Показано, що отримана модель є коректною з точки зору фізичної поведінки, а результати досліджено на прикладі зірки 4U 1820-30. Крім того, наведено опис генераторів для кількох відомих моделей. Institute of Mathematics, NAS of Ukraine 2026-03-21 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/8691 10.3842/umzh.v77i7.8691 Ukrains’kyi Matematychnyi Zhurnal; Vol. 77 No. 7 (2025); 492 Український математичний журнал; Том 77 № 7 (2025); 492 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/8691/10547 Copyright (c) 2025 Ankita Jangid, B. S. Ratanpal, K. K. Venkataratnam |
| spellingShingle | Jangid, Ankita Ratanpal, B. S. Venkataratnam, K. K. Jangid, Ankita Ratanpal, B. S. Venkataratnam, K. K. Generating models of anisotropic compact stars |
| title | Generating models of anisotropic compact stars |
| title_alt | Generating models of anisotropic compact stars |
| title_full | Generating models of anisotropic compact stars |
| title_fullStr | Generating models of anisotropic compact stars |
| title_full_unstemmed | Generating models of anisotropic compact stars |
| title_short | Generating models of anisotropic compact stars |
| title_sort | generating models of anisotropic compact stars |
| topic_facet | Linear equation of state Compact stars General relativity. |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8691 |
| work_keys_str_mv | AT jangidankita generatingmodelsofanisotropiccompactstars AT ratanpalbs generatingmodelsofanisotropiccompactstars AT venkataratnamkk generatingmodelsofanisotropiccompactstars AT jangidankita generatingmodelsofanisotropiccompactstars AT ratanpalbs generatingmodelsofanisotropiccompactstars AT venkataratnamkk generatingmodelsofanisotropiccompactstars |