Study of Compact Stars in $\mathcal{R}+\alpha \mathcal{A}$ Gravity

Abstract

The main goal of this work is to provide a comprehensive study of relativistic structures in the context of recently proposed {$\mathcal{R}+\alpha \mathcal{A}$} gravity, where $\mathcal{R}$ is the Ricci scalar, and $\mathcal{A}$ is the anti-curvature scalar. For this purpose, we examine a new classification of embedded class-I solutions of compact stars. To accomplish this goal, we consider an anisotropic matter distribution for {$\mathcal{R}+\alpha \mathcal{A}$ gravity model} with static spherically symmetric spacetime distribution. Due to highly non-linear nature of field equations, we use the Karmarkar condition to link the $g_{rr}$ and $g_{tt}$ components of the metric. Further, we compute the values of constant parameters using the observational data of different compact stars. It is worthy to mention here that we chose a set of twelve important compact stars from the recent literature namely $4U1538-52$, $SAXJ1808.4-3658$, $HerX-1$, $LMCX-4$, $SMCX-4$, $4U1820-30$, $CenX-3$, $4U1608-52$, $PSRJ1903+327$, $PSRJ1614-2230$, $VelaX-1$, $EXO1785-248$. To evaluate the feasibility of {$\mathcal{R}+\alpha \mathcal{A}$ gravity model}, we conduct several physical checks, such as evolution of energy density and pressure components, stability and equilibrium conditions, energy bounds, behavior of mass function and adiabatic index. It is concluded that {$\mathcal{R}+\alpha \mathcal{A}$} gravity supports the existence of compact objects which follow observable patterns.

16 pages, 10 figures

References in corpus (14)

• 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
• Disappearing cosmological constant in f(R) gravity
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Bounds on the basic physical parameters for anisotropic compact general relativistic objects
• The Mass and Radius of the Neutron Star in 4U 1820-30
• Non-radial oscillations of anisotropic neutron stars in the Cowling approximation
• Optical spectroscopy and photometry of SAX J1808.4-3658 in outburst
• A family of well-behaved Karmarkar spacetime describing interior of relativistic stars
• An anisotropic version of Tolman VII solution in $f(R,T)$ gravity via Gravitational Decoupling MGD Approach
• Some Exact Solutions in $f(\mathcal{G},T)$ Gravity via Noether Symmetries
• Tolman-Oppenheimer-Volkoff Equations in Modified Gauss-Bonnet Gravity
• Stellar Structures in $f(\mathcal{G})$ Gravity Admitting Noether Symmetries
• Modified theory of gravity and the history of cosmic evolution

Cited by in corpus (3)

• The Reconstruction of Constant Jerk Parameter with $f(R,T)$ Gravity in Bianchi-I spacetime
• Hybrid star within $f(\mathcal{G})$ gravity
• Time-Machines Construct in $f(\mathcal{R},\mathcal{A},A^{\mu \nu }{A}_{\mu \nu })$ and $f(\mathcal{R})$ Modified Gravity Theories