The Mass-Radius relation for Neutron Stars in $f(R)$ gravity

Abstract

We discuss the Mass -Radius diagram for static neutron star models obtained by the numerical solution of modified Tolman-Oppenheimer-Volkoff equations in $f(R)$ gravity where the Lagrangians $f(R)=R+\alpha R^2(1+\gamma R)$ and $f(R)=R^{1+\epsilon }$ are adopted. Unlike the case of the perturbative approach previously reported, the solutions are constrained by the presence of an extra degree of freedom, coming from the trace of the field equations. In particular, the stiffness of the equation of state determines an upper limit on the central density ${\rho }_c$ above which the the positivity condition of energy-matter tensor trace $T^{\mathrm{m}}=\rho -3p$ holds. In the case of quadratic f(R)-gravity, we find higher masses and radii at lower central densities with an inversion of the behavior around a pivoting ${\rho }_c$ which depends on the choice of the equation of state. When considering the cubic corrections, we find solutions converging to the required asymptotic behavior of flat metric only for $\gamma <0$. A similar analysis is performed for $f(R)=R^{1+\epsilon }$ considering $\epsilon$ as the leading parameter. We work strictly in the Jordan frame in order to consider matter minimally coupled with respect to geometry. This fact allows us to avoid ambiguities that could emerge in adopting the Einstein frame.

10 pages, 6 figures, to appear in Phys. Rev. D

References in corpus (16)

• 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
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Hydrostatic equilibrium and stellar structure in f(R)-gravity
• Phantom scalar dark energy as modified gravity: understanding the origin of the Big Rip singularity
• Extreme neutron stars from Extended Theories of Gravity
• Spherical symmetry in $f(R)$-gravity
• Inner crust of neutron stars with mass-fitted Skyrme functionals
• Nonperturbative models of quark stars in $f(R)$ gravity
• Analytical representations of unified equations of state of neutron-star matter
• Slowly rotating neutron and strange stars in $R^2$ gravity
• Higher-order gravity and the cosmological background of gravitational waves
• Testing gravitational theories using Eccentric Eclipsing Detached Binaries
• Withholding Potentials, Absence of Ghosts and Relationship between Minimal Dilatonic Gravity and f(R) Theories

Cited by in corpus (137)

• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Stellar structure models in modified theories of gravity: lessons and challenges
• The realistic models of relativistic stars in f(R) = R + alpha R^2 gravity
• Extended Gravity Description for the GW190814 Supermassive Neutron Star
• Study on anisotropic strange stars in $f(R,T)$ gravity: An embedding approach under simplest linear functional of matter-geometry coupling
• Causal Limit of Neutron Star Maximum Mass in $f(R)$ Gravity in View of GW190814
• Anisotropic compact stars in $f(R)$ gravity
• Compact stars in Energy-Momentum Squared Gravity
• Charged spherically symmetric black holes in $f(R)$ gravity and their stability analysis
• Anisotropic strange star with Tolman-Kuchowicz metric under $f(R,T)$ gravity
• Anisotropic strange stars under simplest minimal matter-geometry coupling in the $f(R,\mathcal{T})$ gravity
• Gravastars in $f(\mathcal{G},T)$ Gravity
• Correspondence of $F(R)$ Gravity Singularities in Jordan and Einstein Frames
• Stable and self-consistent compact star models in teleparallel gravity
• Inflationary $\alpha$-attractors from $F(R)$ Gravity
• Existence of Compact Structures in $f(R,T)$ Gravity
• Decoupling gravitational sources by MGD approach in Rastall gravity
• Constraint on energy-momentum squared gravity from neutron stars and its cosmological implications
• Deceleration versus Acceleration Universe in Different Frames of $F(R)$ Gravity
• Relativistic Stars in dRGT Massive Gravity
• Physical Attributes of Anisotropic Compact Stars in $f(R,G)$ Gravity
• Anisotropic fluid spheres in the framework of $f(R,\mathcal{T})$ gravity theory
• Scalar induced gravitational waves from primordial black hole Poisson fluctuations in $f(R)$ gravity
• Beyond Einstein's General Relativity: Hybrid metric-Palatini gravity and curvature-matter couplings
• Neutron stars in $f(\mathcal{R},\mathcal{T})$ gravity using realistic equations of state in the light of massive pulsars and GW170817
• Spherically symmetric black holes with electric and magnetic charge in extended gravity: Physical properties, causal structure, and stability analysis in Einstein's and Jordan's frames
• Emerging Anisotropic Compact Stars in $f(\mathcal{G},T)$ Gravity
• The mass-radius relation for neutron stars in $f(R)=R+\alpha R^2$ gravity: a comparison between purely metric and torsion formulations
• Complexity Factor For Anisotropic Source in Non-minimal Coupling Metric $f(R)$ Gravity
• The Reconstruction of $f(\varphi )R$ and Mimetic Gravity from Viable Slow-roll Inflation
• Anisotropic neutron stars in $R^2$ gravity
• Maximum Baryon Masses for Static Neutron Stars in $f(R)$ Gravity
• From neutron stars to quark stars in mimetic gravity
• Non-trivial black hole solutions in $f(R)$ gravitational theory
• Anisotropic spheres via embedding approach in $\mathcal{R}+\beta {\mathcal{R}}^2$ gravity with matter coupling
• Constraining scalar-tensor theories of gravity from the most massive neutron stars
• Buchdahl model in f(R, T) gravity: A comparative study with standard Einstein's gravity
• Supermassive Neutron Stars in Axion $F(R)$ Gravity
• On the maximum mass limit of neutron stars in scalar-tensor gravity
• Minisuperspace quantum cosmology in $f(Q)$ gravity
• Existence of Static Wormhole Solutions in $f(R,G)$ Gravity
• Anisotropic quark stars in $R^2$ gravity
• A conservative energy-momentum tensor in the $f(R,T)$ gravity and its implications for the phenomenology of neutron stars
• Modified Einstein's gravity to probe the sub- and super-Chandrasekhar limiting mass white dwarfs: a new perspective to unify under- and over-luminous type Ia supernovae
• Stellar Structures in $f(\mathcal{G})$ Gravity with Tolman-Kuchowicz Spacetime
• Continuous gravitational wave from magnetized white dwarfs and neutron stars: possible missions for LISA, DECIGO, BBO, ET detectors
• $R^p$ Attractors Static Neutron Star Phenomenology
• Stability criterion for white dwarfs in Palatini $f(R)$ gravity
• Neutron stars in $f(R)$ gravity and scalar-tensor theories
• Universal Inflationary Attractors Implications on Static Neutron Stars
• Inflationary Attractors Predictions for Static Neutron Stars in the Mass-Gap Region
• Anisotropic quark stars in $f(R)=R^{1+\epsilon }$ gravity
• Anisotropic compact stars in higher-order curvature theory
• Neutron Stars in Scalar-tensor Gravity with Quartic Order Scalar Potential
• Neutron Stars in Screened Modified Gravity: Chameleon vs Dilaton
• Static Neutron Stars Perspective of Quadratic and Induced Inflationary Attractor Scalar-tensor Theories
• nEoS: Neutron Star Equation of State from hadron physics alone
• Realistic neutron star models in $f(T)$ gravity
• Maximal Masses of White Dwarfs for Polytropes in $R^2$ Gravity and Theoretical Constraints
• Structure of Compact Stars in R-squared Palatini Gravity
• Hadron matter in neutron stars in view of gravitational wave observations
• Effect of massive graviton on dark energy star structure
• Stellar Structures in $f(\mathcal{G})$ Gravity Admitting Noether Symmetries
• Compact Star in General $F(R)$ Gravity: Inevitable Degeneracy Problem and Non-Integer Power Correction
• Gravitational wave in f(R) gravity: possible signature of sub- and super-Chandrasekhar limiting mass white dwarfs
• Neutron stars in Einstein-$\Lambda$ gravity: the cosmological constant effects
• Maximum mass of an anisotropic compact object admitting the modified Chaplygin equation of state in Buchdahl-I metric
• Cosmic evolution of the logarithmic f(R) model and the dS swampland conjecture
• Neutron Star in Covariant $f(Q)$ gravity
• Stellar Hydrostatic Equilibrium Compact Structures in $f(\mathcal{G},T)$ Gravity
• Exact theory for the Rezzolla-Zhidenko metric and self-consistent calculation of quasinormal modes
• Study of the charged super-Chandrasekhar limiting mass white dwarfs in the $f(R,\mathcal{T})$ gravity
• A Review of Stable, Traversable Wormholes in f (R) Gravity Theories
• The Role of Baryon Structure in Neutron Stars
• Extended Tolman III and VII solutions in $f(\mathcal{R},T)$ gravity: Models for neutron stars and supermassive stars
• Hyperon bulk viscosity and $r$-modes of neutron stars
• Hydrostatic equilibrium configurations of neutron stars in a non-minimal geometry-matter coupling theory of gravity
• Bardeen Compact Stars in Modified $f(R)$ Gravity with Conformal Motion
• Neutron star masses in $R^2$-gravity
• The gravitational field of a star in quadratic gravity
• Mass - radius ratio bounds for compact objects in Lorentz-violating dRGT Massive Gravity theory
• Mimetic Compact Stars
• Weakly Charged Compact Stars in $f\left(R\right)$ gravity
• Uniqueness of the Inflationary Higgs Scalar for Neutron Stars and Failure of non-inflationary Approximations
• Spherical doubly warped spacetimes for radiating stars and cosmology
• Stellar Structures admitting Noether Symmetries in $f(\mathcal{R},\mathcal{T})$ Gravity
• Equation of State of Neutron Stars with Junction Conditions in the Starobinsky Model
• Compact stars in $f(T)=T+\xi T^{\beta }$ gravity
• Effects of hadron-quark phase transition on properties of Neutron Stars
• Revisiting compact star in $F(R)$ gravity: Roles of chameleon potential and energy conditions
• Noether's stars in $f(\mathcal{R})$ gravity
• Late time supernova neutrino signal and proto-neutron star radius
• Attractor Cosmology from non-minimally Coupled Gravity
• Black Holes with Electric and Magnetic Charges in $F(R)$ Gravity
• Non-symmetric wormholes and localized Big Rip singularities in Einstein-Weyl gravity
• Solving Tolman-Oppenheimer-Volkoff equations in f(T) gravity: a novel approach applied to some realistic equations of state
• Isotropic and anisotropic neutron star structure in 4D Einstein Gauss Bonnet Gravity
• Vacuum solutions around spherically symmetric and static objects in the Starobinsky model
• On static and spherically symmetric solutions of Starobinsky model
• Properties of Neutron Stars with hyperon cores in parameterized hydrostatic conditions
• Polynomial $f(R)$ Palatini cosmology -- dynamical system approach
• Compact relativistic geometries in $f(R,G)$ gravity
• Deconfinement of non-strange hadronic matter with nucleons and $\Delta$ baryons to quark matter in neutron stars
• Neutron Stars In $f(R,T)$ Theory: Slow Rotation Approximation
• Compact stars in the Einstein dark energy model
• Relativistic stars in Starobinsky gravity with the matched asymptotic expansions method
• Signatures of strangeness in neutron star merger remnants
• Extremely small stars in scalar-tensor gravity: when stellar radius is less than Schwarzschild one
• Gravitational collapse of compact stars in $f(R)=\xi R^4$ gravity
• Compact star in noninteger power model of $f(R)$ gravity
• Screened and Unscreened Solutions for Relativistic Star in de Rham-Gabadadze-Tolley (dRGT) Massive Gravity
• Neutron Stars in f(R)-Gravity and Its Extension with a Scalar Axion Field
• Neutron Stars in Palatini $R+\alpha R^2$ and $R+\alpha R^2+\beta Q$ Theories
• Anisotropic Stars in the Non-minimal $Y(R)F^2$ Gravity
• Modified Gravity at Astrophysical Scales
• Ricci-Determinant Gravity: Dynamical Aspects and Astrophysical Implications
• Role of $\Delta$s in determining the properties of Neutron Stars in parameterized hydrostatic equilibrium
• Unveiling a universal relationship between the f(R) parameter and neutron star properties
• An innovative black hole solution and thermodynamic properties in higher-order curvature gravity with a scalar field
• Solar system tests and neutron stars in $f(R)$ gravity revisited
• Analytical Stellar Models of Neutron Stars in Teleparallel Gravity
• Gravitational Collapse of Anisotropic Compact Stars in Modified $f(R)$ Gravity
• Neutron Stars in Mimetic Gravity
• On the linear stability of polytropic fluid spheres in $R^2$ gravity
• Spacetime Curvature as a Probe of Exotic Core Phases in Neutron Stars within Modified Gravity
• Scalarized neutron stars with a highly relativistic core in scalar-tensor gravity
• Stellar structure of quark stars in a modified Starobinsky gravity
• Inflationary $\alpha -$attractors and $F(R)$ gravity
• The general expression for $f(T)$ in a charged cylindrical spacetime with diverse dimensions
• Scalar-tensor baryogenesis: a scalar-tensor completion of gravitational baryogenesis
• Gravity from the Determinant of the Energy-Momentum: Astrophysical Implications
• Neutron stars more compact than black holes in quasi-topological gravity: Equilibrium configurations and radial stability
• Relativistic Neutron Stars: Rheological Type Extensions of the Equations of State
• Bayesian Inference of Neutron Star Properties in $f(Q)$ Gravity Using NICER Observations
• Mass-radius relation, moment of inertia, and tidal love numbers of anisotropic neutron stars in f (R,T) gravity
• Maximum mass limit of strange stars in quadratic curvature-matter coupled gravity
• Neutron Stars in Scalar Torsion Theories with Nonminimal Coupling