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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.00070 |
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| _version_ | 1866910903053582336 |
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| author | Campbell, Mariam Carloni, Sante Dunsby, Peter K. S. Naidu, Nolene F. |
| author_facet | Campbell, Mariam Carloni, Sante Dunsby, Peter K. S. Naidu, Nolene F. |
| contents | We present a covariant description of non-vacuum static spherically symmetric spacetimes in $f(R)$ gravity applying the (1+1+2) covariant formalism. The propagation equations are then used to derive a covariant and dimensionless form of the Tolman-Oppenheimer-Volkoff (TOV) equations. We then give a solution strategy to these equations and obtain some new exact solutions for the particular case $f(R)=R+αR^{2}$, which have the correct thermodynamic properties for standard matter. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_00070 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Some exact relativistic star solutions in $f(R)$ gravity Campbell, Mariam Carloni, Sante Dunsby, Peter K. S. Naidu, Nolene F. General Relativity and Quantum Cosmology High Energy Physics - Theory We present a covariant description of non-vacuum static spherically symmetric spacetimes in $f(R)$ gravity applying the (1+1+2) covariant formalism. The propagation equations are then used to derive a covariant and dimensionless form of the Tolman-Oppenheimer-Volkoff (TOV) equations. We then give a solution strategy to these equations and obtain some new exact solutions for the particular case $f(R)=R+αR^{2}$, which have the correct thermodynamic properties for standard matter. |
| title | Some exact relativistic star solutions in $f(R)$ gravity |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2403.00070 |