Neutron Stars in f(R)-Gravity and Its Extension with a Scalar Axion Field

Abstract

We present a brief review of general results about non-rotating neutron stars in simple R-square gravity and its extension with a scalar axion field. Modified Einstein equations are presented for metrics in isotropical coordinates. The mass-radius relation, mass profile and dependence of mass from central density on various equations of state are given in comparison to general relativity.

In special issue «Selected Papers from "The Modern Physics of Compact Stars and Relativistic Gravity 2019"»

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• Neutron Stars in Palatini $R+\alpha R^2$ and $R+\alpha R^2+\beta Q$ Theories
• $f(R)$ Dual Theories of Quintessence : Expansion-Collapse Duality
• On the linear stability of polytropic fluid spheres in $R^2$ gravity
• Thermodynamics, Phase Transitions, and Geodesic Structure of F(R)-Phantom Banados-Teitelboim-Zanelli (BTZ) Black Holes