Optical Images of Mini Boson Stars in Palatini $f(R)$ Gravity
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arXiv
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| Auteurs principaux: | , , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912728395808768 |
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| author | Zeng, Xiao-Xiong Yang, Chen-Yu Huang, Yu-Xiang He, Ke-Jian Li, Guo-Ping Guo, Sen |
| author_facet | Zeng, Xiao-Xiong Yang, Chen-Yu Huang, Yu-Xiang He, Ke-Jian Li, Guo-Ping Guo, Sen |
| contents | We investigate the optical properties of mini boson stars within the framework of Palatini $f(R)$ gravity, adopting a quadratic form $f(R) = R + ξR^2$, where $ξ$ is the gravitational coupling constant. By deriving the modified scalar Lagrangian and solving the field equations numerically, we explore photon trajectories and the resulting optical images under spherical light sources and thin accretion disks. Unlike Schwarzschild black holes (BHs), boson stars lack stable photon rings due to the positive second derivative of their effective potential. Consequently, their images are dominated by direct emissions from photons completing a single orbit. The study examines the dependence of the optical characteristics on the initial scalar field $ψ_0$ and the coupling parameter $ξ$. Numerical results include effective potentials, redshift maps, and detailed imaging of boson stars, providing insights into distinguishing boson stars from black holes using high-resolution astronomical observations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_13764 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Optical Images of Mini Boson Stars in Palatini $f(R)$ Gravity Zeng, Xiao-Xiong Yang, Chen-Yu Huang, Yu-Xiang He, Ke-Jian Li, Guo-Ping Guo, Sen General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena We investigate the optical properties of mini boson stars within the framework of Palatini $f(R)$ gravity, adopting a quadratic form $f(R) = R + ξR^2$, where $ξ$ is the gravitational coupling constant. By deriving the modified scalar Lagrangian and solving the field equations numerically, we explore photon trajectories and the resulting optical images under spherical light sources and thin accretion disks. Unlike Schwarzschild black holes (BHs), boson stars lack stable photon rings due to the positive second derivative of their effective potential. Consequently, their images are dominated by direct emissions from photons completing a single orbit. The study examines the dependence of the optical characteristics on the initial scalar field $ψ_0$ and the coupling parameter $ξ$. Numerical results include effective potentials, redshift maps, and detailed imaging of boson stars, providing insights into distinguishing boson stars from black holes using high-resolution astronomical observations. |
| title | Optical Images of Mini Boson Stars in Palatini $f(R)$ Gravity |
| topic | General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena |
| url | https://arxiv.org/abs/2501.13764 |