Anisotropic Tolman V Solutions by Decoupling Approach in $f(R,T^2)$ Gravity

Abstract

This paper investigates the behavior of anisotropic static spheres that are constructed by employing a minimal geometric deformation in the framework of $f(R,T^2)$ gravity ($T^2=T_{\zeta \nu }{T}^{\zeta \nu }$, $R$ is the Ricci scalar and $T_{\zeta \nu }$ is the energy-momentum tensor). We consider a spherical setup with two sources: seed and additional. It is assumed that the seed source is isotropic whereas the new source is responsible for inducing anisotropy. We deform the $g_{rr}$ component to split the field equations into two sets. The first array corresponds to the isotropic solution whereas the second set contains the effect of the anisotropic source. The system related to isotropic source is determined by the metric potentials of Tolman V solution while three solutions of the second set are constructed corresponding to three different constraints. The physical acceptability of all solutions is checked through energy conditions by employing the radius and mass of PSR J1614-2230 star. We also examine the stability, mass, compactness and redshift of the obtained solutions. We conclude that first two solutions satisfy the viability and stability criteria only for small values of the decoupling parameter while third solution is stable for its all possible values.

29 pages, 9 figures

References in corpus (17)

• f(R,T) gravity
• Sound Speeds, Cracking and Stability of Self-Gravitating Anisotropic Compact Objects
• Searching Exact Solutions for Compact Stars in Braneworld: a conjecture
• A class of relativistic stars with a linear equation of state
• Gravitational decoupling for axially symmetric systems and rotating black holes
• Palatini formulation of modified gravity with a nonminimal curvature-matter coupling
• Possibility of higher dimensional anisotropic compact star
• An anisotropic version of Tolman VII solution in $f(R,T)$ gravity via Gravitational Decoupling MGD Approach
• Anisotropic Tolman V Solution by Minimal Gravitational Decoupling Approach
• Ultracompact stars with polynomial complexity by gravitational decoupling
• A class of solutions for anisotropic stars admitting conformal motion
• Effects of $f(\mathcal{R},\mathcal{T},{\mathcal{R}}_{\gamma \upsilon }{\mathcal{T}}^{\gamma \upsilon })$ Gravity on Anisotropic Charged Compact Structures
• Study of Decoupled Anisotropic Solutions in $f(R,T,R_{\rho \eta }{T}^{\rho \eta })$ Theory
• Effects of Charge on Gravitational Decoupled Anisotropic Solutions in f(R) Gravity
• Noether Symmetry Approach in Energy-Momentum Squared Gravity
• The matter Lagrangian of an ideal fluid
• Inflation in Energy-Momentum Squared Gravity in Light of Planck2018

Cited by in corpus (1)

• Dynamical reconstruction of the $\Lambda$CDM model in scalar-tensor $f(R,T)$ gravity