Star equilibrium: from BNG to TOV
Abstract We study the role of the equilibrium equation in bootstrapped Newtonian gravity (BNG) by including terms inspired by the post-Newtonian expansion of the Tolman–Oppenheimer–Volkov (TOV) equation. We then compare (approximate) BNG solutions for homogenous stars with their Newtonian and Genera...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-04-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-025-14095-z |
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| _version_ | 1850181351013089280 |
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| author | Roberto Casadio Octavian Micu |
| author_facet | Roberto Casadio Octavian Micu |
| author_sort | Roberto Casadio |
| collection | DOAJ |
| description | Abstract We study the role of the equilibrium equation in bootstrapped Newtonian gravity (BNG) by including terms inspired by the post-Newtonian expansion of the Tolman–Oppenheimer–Volkov (TOV) equation. We then compare (approximate) BNG solutions for homogenous stars with their Newtonian and General Relativistic exact solutions. Regardless of the additional terms from the conservation equation, BNG stars do not exhibit a Buchdahl limit. However, specific extra terms added to this equation can cause the pressure to become negative inside stars with compactness smaller than the critical values for BNG black hole formation. |
| format | Article |
| id | doaj-art-cf4ba44145eb46c5aa45b4a01f7819be |
| institution | OA Journals |
| issn | 1434-6052 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-cf4ba44145eb46c5aa45b4a01f7819be2025-08-20T02:17:56ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-04-0185411310.1140/epjc/s10052-025-14095-zStar equilibrium: from BNG to TOVRoberto Casadio0Octavian Micu1Dipartimento di Fisica e Astronomia, Università di BolognaInstitute of Space Science-Subsidiary of INFLPRAbstract We study the role of the equilibrium equation in bootstrapped Newtonian gravity (BNG) by including terms inspired by the post-Newtonian expansion of the Tolman–Oppenheimer–Volkov (TOV) equation. We then compare (approximate) BNG solutions for homogenous stars with their Newtonian and General Relativistic exact solutions. Regardless of the additional terms from the conservation equation, BNG stars do not exhibit a Buchdahl limit. However, specific extra terms added to this equation can cause the pressure to become negative inside stars with compactness smaller than the critical values for BNG black hole formation.https://doi.org/10.1140/epjc/s10052-025-14095-z |
| spellingShingle | Roberto Casadio Octavian Micu Star equilibrium: from BNG to TOV European Physical Journal C: Particles and Fields |
| title | Star equilibrium: from BNG to TOV |
| title_full | Star equilibrium: from BNG to TOV |
| title_fullStr | Star equilibrium: from BNG to TOV |
| title_full_unstemmed | Star equilibrium: from BNG to TOV |
| title_short | Star equilibrium: from BNG to TOV |
| title_sort | star equilibrium from bng to tov |
| url | https://doi.org/10.1140/epjc/s10052-025-14095-z |
| work_keys_str_mv | AT robertocasadio starequilibriumfrombngtotov AT octavianmicu starequilibriumfrombngtotov |