Slowly rotating neutron and strange stars in $R^2$ gravity

Abstract

In the present paper we investigate self-consistently slowly rotating neutron and strange stars in R-squared gravity. For this purpose we first derive the equations describing the structure of the slowly rotating compact stars in $f(R)$-gravity and then simultaneously solve the exterior and the interior problem. The structure of the slowly rotating neutron stars is studied for two different hadronic equations of state and a strange matter equation of state. The moment of inertia and its dependence on the stellar mass and the $R$-squared gravity parameter $a$ is also examined in details. We find that the neutron star moment of inertia for large values of the parameter $a$ can be up to $30\%$ larger compared to the corresponding general relativistic models. This is much higher than the change in the maximum mass induced by $R$-squared gravity and is beyond the EOS uncertainty. In this way the future observations of the moment of inertia of compact stars could allow us to distinguish between general relativity and $f(R)$ gravity, and more generally to test the strong field regime of gravity.

9 pages, 4 figures

References in corpus (13)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Shapiro delay measurement of a two solar mass neutron star
• A Massive Pulsar in a Compact Relativistic Binary
• The relativistic pulsar-white dwarf binary PSR J1738+0333 II. The most stringent test of scalar-tensor gravity
• I-Love-Q, Spontaneously: Slowly Rotating Neutron Stars in Scalar-Tensor Theories
• Spherically symmetric spacetimes in f(R) gravity theories
• Structure of neutron stars in R-squared gravity
• Phases of 4D Scalar-tensor black holes coupled to Born-Infeld nonlinear electrodynamics
• On the 1/c Expansion of f(R) Gravity
• Robust approach to f(R) gravity
• Quasi-normal modes, bifurcations and non-uniqueness of charged scalar-tensor black holes
• Slowly Rotating Relativistic Stars in Tensor-Vector-Scalar Theory
• The final phase of inspiral of strange quark star binaries

Cited by in corpus (44)

• Extreme neutron stars from Extended Theories of Gravity
• Physically viable solutions of anisotropic spheres in $f(\mathcal{R},\mathcal{G})$ gravity satisfying the Karmarkar condition
• Rapidly rotating neutron stars in $R$-squared gravity
• Radial oscillations and stability of compact stars in $f(R,T)=R+2\beta T$ gravity
• Expansion of magnetic neutron stars in an energy (in)dependent spacetime
• $R^p$ Attractors Static Neutron Star Phenomenology
• Universal Inflationary Attractors Implications on Static Neutron Stars
• Inflationary Attractors Predictions for Static Neutron Stars in the Mass-Gap Region
• Moment of inertia of slowly rotating anisotropic neutron stars in $f(R,T)$ gravity
• Neutron stars in Scalar-Tensor-Vector Gravity
• Static Neutron Stars Perspective of Quadratic and Induced Inflationary Attractor Scalar-tensor Theories
• Strange stars in $f(\mathcal{R})$ gravity Palatini formalism and gravitational wave echoes from them
• Gravitational wave echoes from compact stars in $f(\mathcal{R},T)$ gravity
• Structure of Compact Stars in R-squared Palatini Gravity
• Effect of massive graviton on dark energy star structure
• Maximum mass of an anisotropic compact object admitting the modified Chaplygin equation of state in Buchdahl-I metric
• Neutron Stars in frames of $R^2$-gravity and Gravitational Waves
• Moment of inertia and compactness of quark stars within the context of $f(R,T,L_m)$ gravity
• Polar Quasinormal Modes of Neutron Stars in Massive Scalar-Tensor Theories
• Uniqueness of the Inflationary Higgs Scalar for Neutron Stars and Failure of non-inflationary Approximations
• Compact stars in $f(T)=T+\xi T^{\beta }$ gravity
• $R^2$-gravity quark stars from perturbative QCD
• Generalized $R^p$-attractor Cosmology in the Jordan and Einstein Frames: New Type of Attractors and Revisiting Standard Jordan Frame $R^p$ Inflation
• Binary systems in massive scalar-tensor theories: Next-to-leading order gravitational wave phase from effective field theory
• Constraining Quadratic $f(R)$ Gravity from Astrophysical Observations of the Pulsar J0704+6620
• Compact relativistic geometries in $f(R,G)$ gravity
• Neutron Stars In $f(R,T)$ Theory: Slow Rotation Approximation
• Compact Objects in Alternative Gravities
• Self-gravitating systems in Extended Gravity
• Universal relations for quasinormal modes of neutron stars in $R^2$ gravity
• Ricci-Determinant Gravity: Dynamical Aspects and Astrophysical Implications
• The effect of pressure anisotropy on quark stars structure in the Starobinsky model
• Moment of Inertia for Axisymmetric Neutron Stars in the Standard-Model Extension
• Solar system tests and neutron stars in $f(R)$ gravity revisited
• Probing Strong Field $f(R)$ Gravity and Ultra-Dense Matter with the Structure and Thermal Evolution of Neutron Stars
• Charged analog of anisotropic dark energy star in Rastall gravity
• $\varphi$-modes of neutron stars in a massless scalar-tensor theory
• BPS Skyrme neutron stars in generalized gravity
• Testing gravity with the latent heat of neutron star matter
• Stellar structure of quark stars in a modified Starobinsky gravity
• Compact stars in scalar-tensor theories with a single-well potential and the corresponding $f(R)$ theory
• Slowly rotating condensate dark stars beyond the mean-field approximation
• Maximum mass limit of strange stars in quadratic curvature-matter coupled gravity
• Mass-radius relation, moment of inertia, and tidal love numbers of anisotropic neutron stars in f (R,T) gravity