Tolman-Oppenheimer-Volkoff equation and static spheres in Conformal Killing gravity
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866912301479624704 |
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| author | Mantica, Carlo Alberto Molinari, Luca Guido |
| author_facet | Mantica, Carlo Alberto Molinari, Luca Guido |
| contents | We derive the analog of the Tolman - Oppenheimer - Volkoff equation in conformal Killing gravity in a static spherically symmetric spacetime, sourced by anisotropic fluid matter. It differs from the original equation by new dark terms associated to a conformal Killing tensor. The formulation of gravity as an Einstein equation augmented by a conserved conformal Killing tensor enables to implement the junction conditions for a sphere of anisotropic fluid with the conformal Killing vacuum. The equations are solved for a perfect fluid sphere with uniform matter density, in the Harada vacuum. The extension of Buchdahl's equation for the critical radius - mass density is obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_18663 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Tolman-Oppenheimer-Volkoff equation and static spheres in Conformal Killing gravity Mantica, Carlo Alberto Molinari, Luca Guido General Relativity and Quantum Cosmology 83D05 (Primary), 83C15, 83C56 (Secondary) We derive the analog of the Tolman - Oppenheimer - Volkoff equation in conformal Killing gravity in a static spherically symmetric spacetime, sourced by anisotropic fluid matter. It differs from the original equation by new dark terms associated to a conformal Killing tensor. The formulation of gravity as an Einstein equation augmented by a conserved conformal Killing tensor enables to implement the junction conditions for a sphere of anisotropic fluid with the conformal Killing vacuum. The equations are solved for a perfect fluid sphere with uniform matter density, in the Harada vacuum. The extension of Buchdahl's equation for the critical radius - mass density is obtained. |
| title | Tolman-Oppenheimer-Volkoff equation and static spheres in Conformal Killing gravity |
| topic | General Relativity and Quantum Cosmology 83D05 (Primary), 83C15, 83C56 (Secondary) |
| url | https://arxiv.org/abs/2409.18663 |