Static spherically symmetric solutions of the f(R) gravity
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908466022449152 |
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| author | Zhdanov, V. I. |
| author_facet | Zhdanov, V. I. |
| contents | Static spherically symmetric (SSS) solutions of f(R) gravity are studied in the Einstein frame. The solutions involve SSS configuration mass M and scalaron mass $μ$ (in geometrized units); for typical astrophysical masses, the dimensionless parameter $Mμ$ has very large value. We found analytic solutions on a finite interval for $Mμ\to \infty$ in case of a family of scalaron potentials. The asymptotically flat solutions on $(0,\infty)$ have been studied numerically for $Mμ$ up to $10^{20}$ in case of the quadratic f(R) model. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_10850 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Static spherically symmetric solutions of the f(R) gravity Zhdanov, V. I. General Relativity and Quantum Cosmology Static spherically symmetric (SSS) solutions of f(R) gravity are studied in the Einstein frame. The solutions involve SSS configuration mass M and scalaron mass $μ$ (in geometrized units); for typical astrophysical masses, the dimensionless parameter $Mμ$ has very large value. We found analytic solutions on a finite interval for $Mμ\to \infty$ in case of a family of scalaron potentials. The asymptotically flat solutions on $(0,\infty)$ have been studied numerically for $Mμ$ up to $10^{20}$ in case of the quadratic f(R) model. |
| title | Static spherically symmetric solutions of the f(R) gravity |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2503.10850 |