Anisotropic spheres via embedding approach in $\mathcal{R}+\beta {\mathcal{R}}^2$ gravity with matter coupling

Abstract

The manifesto of the current article is to investigate the compact anisotropic matter profiles in the context of one of the modified gravitational theories, known as $f(\mathcal{R},\mathcal{T})$ gravity, where $\mathcal{R}$ is a Ricci Scalar and $\mathcal{T}$ is the trace of the energy-momentum tensor. To achieve the desired goal, we capitalized on the spherical symmetric space-time and utilized the embedding class-1 solution via Karmarkar's condition in modeling the matter profiles. To calculate the unidentified constraints, Schwarzschild exterior solution along with experimental statistics of three different stars LMC X-4, Cen X-3, and EXO 1785-248 are taken under consideration. For the evaluation of the dynamical equations, a unique model $f(\mathcal{R},\mathcal{T})=\mathcal{R}+\beta {\mathcal{R}}^2+\lambda \mathcal{T}$ has been considered, with $\beta$ and $\lambda$ being the real constants. Different physical aspects have been exploited with the help of modified dynamical equations. Conclusively, all the stars under observations are realistic, stable, and are free from all singularities.

arXiv comment20 pages, 17 figures

References in corpus (26)

• f(R,T) gravity
• Reconstruction of some cosmological models in f(R,T) gravity
• Stellar equilibrium configurations of compact stars in $f(R,T)$ gravity
• The Mass-Radius relation for Neutron Stars in $f(R)$ gravity
• Extreme neutron stars from Extended Theories of Gravity
• Cosmological and Solar System Consequences of f(R,T) Gravity Models
• Maximal neutron star mass and the resolution of hyperon puzzle in modified gravity
• f(R,T) Cosmological Models in Phase Space
• Compact stars in $f(R,T)$ gravity
• Nonperturbative models of quark stars in $f(R)$ gravity
• Non-radial oscillations of anisotropic neutron stars in the Cowling approximation
• Radial pulsations and stability of anisotropic stars with quasi-local equation of state
• Cosmological solutions from Induced Matter Model applied to 5D f(R,T) gravity and the shrinking of the extra coordinate
• Possible Formation of Compact Stars in $f(R,T)$ Gravity
• Exploring physical features of anisotropic strange stars beyond standard maximum mass limit in $f\left(R,\mathcal{T}\right)$ gravity
• Friedmann model with viscous cosmology in modified $f(R,T)$ gravity theory
• Violation of First Law of Thermodynamics in f(R,T) Gravity
• Modelling of anisotropic compact stars of emebedding class one
• Attractor Solutions in f(T) Cosmology
• Generating physically realizable stellar structures via embedding
• Existence of Compact Structures in $f(R,T)$ Gravity
• Generalized second law of thermodynamics in f(R,T) theory of gravity
• Dynamical Instability of Spherical Star in $f(R,T)$ gravity
• Compact stars with specific mass function
• Singularity-free nonexotic compact star in $f(R,T)$ gravity
• Compact Astrophysical Objects in $f(R,T)$ gravity

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• Physical Analysis of Spherical Stellar Structures in $f(\mathrm{Q},\mathrm{T})$ Theory
• Influence of Charge on Anisotropic Class-one Solution in Non-minimally Coupled Gravity
• Integration of the Lane-Emden equation for relativistic anisotropic polytropes through Gravitational Decoupling: a novel approach
• Implications of Rastall Theory on Stellar Solutions admitting Vanishing Complexity: A New Perspective
• Relativistic compact stars in Tolman spacetime via an anisotropic approach
• Stationary BTZ space-time in Ricci-Inverse and $f(\mathcal{R})$ gravity theories
• Viable Wormhole Structures and Energy Conditions in f(Q,T) Theory
• Cylindrical black hole solutions in $f(\mathcal{R})$ and $f(\mathcal{R},\mathcal{A},A^{\mu \nu }{A}_{\mu \nu })$ modified gravity