Anisotropic quark stars in $f(R)=R^{1+\epsilon }$ gravity

Abstract

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 $f(R)=R^{1+\epsilon }$ model and we examine small deviations from General Relativity (GR) for $|\epsilon |\ll 1$. 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.

10 pages, 4 figures, some references added, new figure added, accepted for publication in Classical and Quantum Gravity

References in corpus (35)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• The Confrontation between General Relativity and Experiment
• GW190814: Gravitational Waves from the Coalescence of a 23 M${}_{\odot }$ Black Hole with a 2.6 M${}_{\odot }$ Compact Object
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Conditions for the cosmological viability of f(R) dark energy models
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• A Parameterized Post-Friedmann Framework for Modified Gravity
• Low surface brightness galaxies rotation curves in the low energy limit of $R^n$ gravity : no need for dark matter?
• Spherically symmetric solutions in f(R)-gravity via Noether Symmetry Approach
• Equation of State of a Dense and Magnetized Fermion System
• Consequences of dark matter-dark energy interaction on cosmological parameters derived from SNIa data
• Dark matter as a geometric effect in f(R) gravity
• Nonperturbative models of quark stars in $f(R)$ gravity
• Non-radial oscillations of anisotropic neutron stars in the Cowling approximation
• Analysis of Rotation Curves in the framework of R^n gravity
• Radial pulsations and stability of anisotropic stars with quasi-local equation of state
• Causal Limit of Neutron Star Maximum Mass in $f(R)$ Gravity in View of GW190814
• Unifying of Inflation with Early and Late Dark Energy Epochs in Axion $F(R)$ Gravity
• Analytical study of anisotropic compact star models
• Geometric Inflation and Dark Energy with Axion $F(R)$ Gravity
• The tidal deformability of an anisotropic compact star: Implications of GW170817
• Equilibrium, radial stability and non-adiabatic gravitational collapse of anisotropic neutron stars
• Gravitational lensing in fourth order gravity
• Strange quark matter fragmentation in astrophysical events
• Supermassive Neutron Stars in Axion $F(R)$ Gravity
• Massive Compact Stars as Quark Stars
• Surface tension of highly magnetized degenerate quark matter
• Rotating Neutron Stars in F(R) Gravity with Axions
• General relativistic polytropes in anisotropic stars
• Anisotropic compact stars in higher-order curvature theory
• Gluonic phase versus LOFF phase in two-flavor quark matter
• Anisotropic magnetized neutron star
• Gravitationally collapsing stars in $f(R)$ gravity
• Novel Stellar Astrophysics from Extended Gravity

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• Compact stars admitting Finch-Skea symmetry in the presence of various matter fields
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