Study of Embedded Class-I Fluid Spheres in $f(R,T)$ Gravity with Karmarkar Condition

Abstract

In this article, we explore some emerging properties of the stellar objects in the frame of the $f(R,T)$ gravity by employing the well-known Karmarkar condition, where $R$ and $T$ represent Ricci scalar and trace of energy momentum tensor respectively. It is worthy to highlight here that we assume the exponential type model of $f(R,T)$ theory of gravity $f(R,T)=R+\alpha (e^{-\beta R}-1)+\gamma T$ along with the matter Lagrangian ${\mathcal{L}}_m=-\frac{1}{3}(p_r+2p_t)$ to classify the complete set of modified field equations. We demonstrate the embedded class-I technique by using the static spherically symmetric line element along with anisotropic fluid matter distribution. Further, to achieve our goal, we consider a specific expression of metric potential $g_{rr}$, already presented in literature, and proceed by using the Karmarkar condition to obtain the second metric potential. In particular, we use four different compact stars, namely $LMCX-4,$ $EXO1785-248,$ $CenX-3$ and $4U1820-30$ and compute the corresponding values of the unknown parameters appearing in metric potentials. Moreover, we conduct various physical evolutions such as graphical nature of energy density and pressure progression, energy constraints, mass function, adiabatic index, stability and equilibrium conditions to ensure the viability and consistency of our proposed model. Our analysis indicates that the obtained anisotropic outcomes are physically acceptable with the finest degree of accuracy.

12 pages, 10 figures, Accepted for publication in Chinese Journal of Physics

References in corpus (13)

• f(R,T) gravity
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Sound Speeds, Cracking and Stability of Self-Gravitating Anisotropic Compact Objects
• Bounds on the basic physical parameters for anisotropic compact general relativistic objects
• The Mass and Radius of the Neutron Star in 4U 1820-30
• Hydrostatic equilibrium and stellar structure in f(R)-gravity
• Generalizations of teleparallel gravity and local Lorentz symmetry
• Violation of First Law of Thermodynamics in f(R,T) Gravity
• Attractor Solutions in f(T) Cosmology
• Relativistic Krori-Barua Compact Stars in $f(R,T)$ Gravity
• Noether Symmetry Approach in $f(\mathcal{G},T)$ Gravity
• Some Exact Solutions in $f(\mathcal{G},T)$ Gravity via Noether Symmetries
• Tolman-Oppenheimer-Volkoff Equations in Modified Gauss-Bonnet Gravity

Cited by in corpus (4)

• Physical Characteristics and Maximum Allowable Mass of Hybrid Star in the Context of $f(Q)$ Gravity
• Impact of Tolman-Kuchowicz Potentials on Gauss-Bonnet Gravity and Isotropic Stellar Structures
• $f(R,T)$ Gravity Bouncing Universe with Cosmological Parameters
• Anisotropic Spheres Via Embedding Approach in $f(R,\varphi ,X)$ Gravity