Galactic dynamics in the presence of scalaron: A perspective from $\boldsymbol{f(R)}$ gravity
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910585169379328 |
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| author | Mohan, Gayatri Goswami, Umananda Dev |
| author_facet | Mohan, Gayatri Goswami, Umananda Dev |
| contents | We consider $f(R)$ modified gravity theory incorporating the chameleon mechanism to address galactic dynamics. By employing the metric formalism and utilizing a conformal transformation, we simplify the field equations and describe the extra degree of freedom $f_{R}$ via a scalar field (scalaron) with chameleonic behavior. A recently proposed $f(R)$ model is analyzed to illustrate this behavior effectively. Subsequently, the rotational velocity equation including the scalaron's contribution is derived for a test particle in a static, spherically symmetric spacetime. Then we generate rotation curves and fit them to observational data of thirty seven galaxies using two fitting parameters, $M_0$ and $r_c$, the total mass and core radius of a galaxy respectively. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2403_16522 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Galactic dynamics in the presence of scalaron: A perspective from $\boldsymbol{f(R)}$ gravity Mohan, Gayatri Goswami, Umananda Dev General Relativity and Quantum Cosmology We consider $f(R)$ modified gravity theory incorporating the chameleon mechanism to address galactic dynamics. By employing the metric formalism and utilizing a conformal transformation, we simplify the field equations and describe the extra degree of freedom $f_{R}$ via a scalar field (scalaron) with chameleonic behavior. A recently proposed $f(R)$ model is analyzed to illustrate this behavior effectively. Subsequently, the rotational velocity equation including the scalaron's contribution is derived for a test particle in a static, spherically symmetric spacetime. Then we generate rotation curves and fit them to observational data of thirty seven galaxies using two fitting parameters, $M_0$ and $r_c$, the total mass and core radius of a galaxy respectively. |
| title | Galactic dynamics in the presence of scalaron: A perspective from $\boldsymbol{f(R)}$ gravity |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2403.16522 |