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.

arXiv comment29 pages, 9 figures

References in corpus (39)

• f(R,T) gravity
• Sound Speeds, Cracking and Stability of Self-Gravitating Anisotropic Compact Objects
• Decoupling gravitational sources in general relativity: from perfect to anisotropic fluids
• Action functionals for relativistic perfect fluids
• Further matters in space-time geometry: $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ gravity
• Quark stars admitting a one-parameter group of conformal motions
• Searching Exact Solutions for Compact Stars in Braneworld: a conjecture
• A class of relativistic stars with a linear equation of state
• Gravitational decoupled anisotropies in compact stars
• Black holes by gravitational decoupling
• On the Importance of NNLO QCD and Isospin-breaking Corrections in ${\epsilon }^{\prime }/\epsilon$
• Study on anisotropic strange stars in $f(R,T)$ gravity: An embedding approach under simplest linear functional of matter-geometry coupling
• $f(R,T_{\mu \nu }{T}^{\mu \nu })$ gravity and Cardassian-like expansion as one of its consequences
• Isotropization and change of complexity by gravitational decoupling
• Role of pressure anisotropy on relativistic compact stars
• Gravitational Decoupled Charged Anisotropic Spherical Solutions
• Gravitational decoupling for axially symmetric systems and rotating black holes
• Cosmological Models in Energy-Momentum-Squared Gravity
• Anisotropic Tolman VII solution by gravitational decoupling
• Anisotropic Stars: Exact Solutions and Stability
• Compact stars in Energy-Momentum Squared Gravity
• Palatini formulation of modified gravity with a nonminimal curvature-matter coupling
• Compact Anisotropic Models in General Relativity by Gravitational Decoupling
• Possibility of higher dimensional anisotropic compact star
• An anisotropic version of Tolman VII solution in $f(R,T)$ gravity via Gravitational Decoupling MGD Approach
• Dynamical system analysis of generalized energy-momentum-squared gravity
• Anisotropic Tolman V Solution by Minimal Gravitational Decoupling Approach
• Central Density Dependent Anisotropic Compact Stars
• Constraint on energy-momentum squared gravity from neutron stars and its cosmological implications
• Ultracompact stars with polynomial complexity by gravitational decoupling
• Viability of bouncing cosmology in energy-momentum-squared gravity
• 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
• Cyclic and heteroclinic flows near general static spherically symmetric black holes: Semi-cyclic flows -- Addendum and corrigendum
• 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