Anisotropic quark stars in f(R) = R 1+ϵ gravity

Within the metric formalism of f ( R ) theories of gravity, where R is the Ricci scalar, we study the hydrostatic equilibrium structure of compact stars with the inclusion of anisotropic pressure. In particular, we focus on the f ( R ) = R 1+ ϵ model and we examine small deviations from general rela...

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Bibliographic Details
Published in:Classical and quantum gravity 2022-08, Vol.39 (15), p.155003
Main Authors: Pretel, Juan M Z, Duarte, Sérgio B
Format: Article
Language:English
Subjects:
anisotropic fluid
modified gravity
quark stars
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Summary:Within the metric formalism of f ( R ) theories of gravity, where R is the Ricci scalar, we study the hydrostatic equilibrium structure of compact stars with the inclusion of anisotropic pressure. In particular, we focus on the f ( R ) = R 1+ ϵ model and we examine small deviations from general relativity for | ϵ | ≪ 1. A suitable definition of mass function is explicitly formulated from the field equations and the value of the Ricci scalar at the center of each star is chosen such that it satisfies the asymptotic flatness requirement. We find that both the mass and the radius of a compact star are larger with respect to the general relativistic counterpart. Furthermore, we remark that the substantial changes due to anisotropy occur mainly in the high-central-density region.
ISSN:0264-9381
1361-6382
DOI:10.1088/1361-6382/ac7a88