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Revisiting compact star in F(R) gravity: Roles of chameleon potential and energy conditions

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arxiv 2302.03951 v3 pith:NWPKITTL submitted 2023-02-08 gr-qc hep-th

Revisiting compact star in F(R) gravity: Roles of chameleon potential and energy conditions

classification gr-qc hep-th
keywords compactstarchameleonenergyfieldgravityinsidepotential
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We reexamine the static and spherical symmetric compact star configuration in the $R^2$ model of the $F(R)$ gravity theory. With asymptotic solutions for the additional scalar degrees of freedom, we refine analysis on the external geometry and settle the scalar-hair problem argued in previous works. Performing the numerical integration of the modified Tolman-Oppenheimer-Volkoff equations as a two-boundaries-value problem, we further discuss the scalar-field distribution inside the compact stars and its influence on the mass-radius relation. We show that the chameleon potential plays an essential role in determining the scalar-field profile inside the star. The scalar field often behaves as a quintessential field that effectively decreases the mass of compact stars with lower central energy density.

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  1. Rotating Fermion-Boson Stars in $R$-squared Gravity

    gr-qc 2026-07 conditional novelty 6.0

    R-squared gravity enlarges the equilibrium domain of rotating fermion-boson stars and raises static and Keplerian maximum masses relative to GR while remaining compatible with current compact-object constraints.