Сферично-симетричні конфігурації в моделі темної матерії з легким скаляроном

Static spherically symmetric (SSS) solutions of the quadratic f(R) gravity are studied in the Einstein’s frame under conditions of asymptotic flatness. Following recent dark matter model, we consider the scalaron mass of the order of several meV. We found a representation of the basic equations that...

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Bibliographic Details
Date:2025
Main Author: Zhdanov, V.I.
Format: Article
Language:English
Ukrainian
Published: Publishing house "Academperiodika" 2025
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Online Access:https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2023645
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Journal Title:Ukrainian Journal of Physics

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Ukrainian Journal of Physics
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Summary:Static spherically symmetric (SSS) solutions of the quadratic f(R) gravity are studied in the Einstein’s frame under conditions of asymptotic flatness. Following recent dark matter model, we consider the scalaron mass of the order of several meV. We found a representation of the basic equations that enabled us to perform a numerical investigation of the SSS configurations with sufficiently large (astrophysically relevant) masses. There is always a region around the center with significant effects due to a (nontrivial) scalaron field. The size of this region can be essentially larger than the Schwarzschild radius of the configuration. We describe asymptotic regimes near the naked singularity at the center and at spatial infinity and relate the parameters of these regimes.