Extending Finch-Skea Isotropic Model to Anisotropic Domain in Modified $f(\mathcal{R},\mathcal{T})$ Gravity

Abstract

This paper considers the Finch-Skea isotropic solution and extends its domain to three different anisotropic interiors by using the gravitational decoupling strategy in the context of $f(\mathcal{R},\mathcal{T})$ gravitational theory. For this, we consider that a static spherical spacetime is initially coupled with the perfect matter distribution. We then introduce a Lagrangian corresponding to a new gravitating source by keeping in mind that this new source produces the effect of pressure anisotropy in the parent fluid source. After calculating the field equations for the total matter setup, we apply a transformation on the radial component, ultimately providing two different systems of equations. These two sets are solved independently through different constraints that lead to some new solutions. Further, we consider an exterior spacetime to calculate three constants engaged in the seed Finch-Skea solution at the spherical interface. The estimated radius and mass of a star candidate LMC X-4 are utilized to perform the graphical analysis of the developed models. It is concluded that only the first two resulting models are physically relevant in this modified theory for all the considered parametric choices.

arXiv comment36 pages, 15 figures

References in corpus (53)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R) theories
• f(R,T) gravity
• Extra force in $f(R)$ modified theories of gravity
• Sound Speeds, Cracking and Stability of Self-Gravitating Anisotropic Compact Objects
• Physical Acceptability of Isolated, Static, Spherically Symmetric, Perfect Fluid Solutions of Einstein's Equations
• Maximum bounds on the surface redshift of anisotropic stars
• Reconstruction of f(R, T) gravity describing matter dominated and accelerated phases
• Cosmological reconstruction of realistic modified F(R) gravities
• Strange star equation of state fits the refined mass measurement of 12 pulsars and predicts their radii
• Extreme neutron stars from Extended Theories of Gravity
• Searching Exact Solutions for Compact Stars in Braneworld: a conjecture
• Gravitational decoupled anisotropies in compact stars
• Tolman IV solution in the Randall-Sundrum Braneworld
• Spherical symmetry in $f(R)$-gravity
• Black holes by gravitational decoupling
• The Minimal Geometric Deformation Approach Extended
• Probing the anisotropic local universe and beyond with SNe Ia data
• Nonperturbative models of quark stars in $f(R)$ gravity
• Probing cosmic isotropy with a new X-ray galaxy cluster sample through the $L_{\text{X}}-T$ scaling relation
• Collapsing spherical stars in f(R) gravity
• Searching for a Cosmological Preferred Axis: Union2 Data Analysis and Comparison with Other Probes
• (An)isotropy of the Hubble diagram: comparing hemispheres
• A new family of analytical anisotropic solutions by gravitational decoupling
• Gravitational Decoupled Charged Anisotropic Spherical Solutions
• Anisotropic Tolman VII solution by gravitational decoupling
• Stellar equilibrium configurations of white dwarfs in the $f(R,T)$ gravity
• Revisiting the NVSS number count dipole
• Analytical study of anisotropic compact star models
• Probing the isotropy of cosmic acceleration traced by Type Ia supernovae
• Using MGD gravitational decoupling to extend the isotropic solutions of Einstein equations to the anisotropical domain
• Charged analogue of Finch-Skea stars
• Charged compact star in $f(R,T)$ gravity in Tolman-Kuchowicz spacetime
• An anisotropic version of Tolman VII solution in $f(R,T)$ gravity via Gravitational Decoupling MGD Approach
• A charged anisotropic well-behaved Adler-Finch-Skea solution Satisfying Karmarkar Condition
• Extended gravitational decoupling in $2+1$ dimensional space--times
• Radial oscillations and stability of compact stars in $f(R,T)=R+2\beta T$ gravity
• Study of Decoupled Cosmological Solutions in $f(\mathbb{R},\mathbb{T})$ Theory
• On the absence of the usual weak-field limit, and the impossibility of embedding some known solutions for isolated masses in cosmologies with f(R) dark energy
• The effect of $f(R,T)$ modified gravity on mass and radius of pulsar HerX1
• Effects of $f(\mathcal{R},\mathcal{T},{\mathcal{R}}_{\gamma \upsilon }{\mathcal{T}}^{\gamma \upsilon })$ Gravity on Anisotropic Charged Compact Structures
• Effect of Extended Gravitational Decoupling on Isotropization and Complexity in f(\mathbb{R},\mathbb{T}) Theory
• Study of Decoupled Anisotropic Solutions in $f(R,T,R_{\rho \eta }{T}^{\rho \eta })$ Theory
• Finch-Skea star in (2+1) dimensions
• Testing Isotropic Universe Using the Gamma-Ray Burst Data of Fermi / GBM
• Anisotropy of the galaxy cluster X-ray luminosity-temperature relation
• Moment of inertia of slowly rotating anisotropic neutron stars in $f(R,T)$ gravity
• Decoupled Anisotropic Buchdahl's Relativistic Models in $f(\mathbb{R},\mathbb{T})$ Theory
• Extended Decoupled Anisotropic Solutions in $f(\mathcal{R},\mathcal{T},{\mathcal{R}}_{\gamma \chi }{\mathcal{T}}^{\gamma \chi })$ Gravity
• Rapidly rotating neutron stars in $f(R,T)$ gravity
• Gravitational wave echoes from compact stars in $f(\mathcal{R},T)$ gravity
• Charged Anisotropic Finch-Skea-Bardeen Spheres
• Inflationary Cosmology in the Modified $f(R,T)$ Gravity

Cited by in corpus (2)

• Interpretation of complexity for spherically symmetric fluid composition within the context of modified gravity theory
• The spacetime geodesy of perfect fluid spheres