Durgapal IV model in light of the minimal geometric deformation approach

Abstract

The present article is devoted to the study of local anisotropies effects on the Durgapal's fourth model in the context of gravitational decoupling via the Minimal Geometric Deformation approach. To do it, the most general equation of state relating the components of the $\theta$--sector is imposed to obtain the decoupler function $f(r)$. In addition, certain properties of the obtained solution are investigated, such as the behavior of the salient material content threading the stellar interior, causality and energy conditions, hydrostatic balance through modified Tolman--Oppenheimer--Volkoff conservation equation and stability mechanism against local anisotropies by means of adiabatic index, sound velocity of the pressure waves, convection factor and Harrison--Zeldovich--Novikov procedure, in order to check if the model is physically admissible or not. Regarding the stability analysis, it is found that the model presents unstable regions when the sound speed of the pressure waves and convection factor are used in distinction with what happens in the adiabatic index and Harrison--Zeldovich--Novikov case. To produce a more realistic picture the numerical data for some known compact objects was placed and different values of the parameter $\alpha$ were considered to compare with the GR case ı.e, $\alpha =0$.

arXiv commentTo be published in Chinese Physics C

References in corpus (62)

• 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
• Anisotropic Stars in General Relativity
• Decoupling gravitational sources in general relativity: from perfect to anisotropic fluids
• Refined Neutron-Star Mass Determinations for Six Eclipsing X-Ray Pulsar Binaries
• Maximum bounds on the surface redshift of anisotropic stars
• All static spherically symmetric anisotropic solutions of Einstein's equations
• Bounds on the basic physical parameters for anisotropic compact general relativistic objects
• Anisotropic solutions by gravitational decoupling
• Decoupling gravitational sources in general relativity: the extended case
• All static spherically symmetric perfect fluid solutions of Einstein's Equations
• Searching Exact Solutions for Compact Stars in Braneworld: a conjecture
• Gravitational decoupled anisotropies in compact stars
• Tolman IV solution in the Randall-Sundrum Braneworld
• Black holes by gravitational decoupling
• The Minimal Geometric Deformation Approach Extended
• Anisotropic models for compact stars
• Singularity-free dark energy star
• Singularity-free solutions for anisotropic charged fluids with Chaplygin equation of state
• Anisotropic strange star with de Sitter spacetime
• Study on anisotropic strange stars in $f(R,T)$ gravity: An embedding approach under simplest linear functional of matter-geometry coupling
• Isotropization and change of complexity by gravitational decoupling
• Electrically Charged Strange Quark Stars
• Role of pressure anisotropy on relativistic compact stars
• The Mass of the Compact Object in the X-Ray Binary Her X-1/HZ Her
• Generalized model for anisotropic compact stars
• A new family of analytical anisotropic solutions by gravitational decoupling
• Anisotropic Tolman VII solution by gravitational decoupling
• Brane-world stars with solid crust and vacuum exterior
• A causal Schwarzschild-de Sitter interior solution by gravitational decoupling
• Minimal Geometric Deformation in a cloud of strings
• The role of exterior Weyl fluids on compact stellar structures in Randall-Sundrum gravity
• The importance of anisotropy for relativistic fluids with spherical symmetry
• Using MGD gravitational decoupling to extend the isotropic solutions of Einstein equations to the anisotropical domain
• Minimal geometric deformation decoupling in $2+1$ dimensional space-times
• Classical Tests of General Relativity: Brane-World Sun from Minimal Geometric Deformation
• A general interior anisotropic solution for a BTZ vacuum in the context of the Minimal Geometric Deformation decoupling approach
• Compact Anisotropic Models in General Relativity by Gravitational Decoupling
• A comparison of Hořava-Lifshitz gravity and Einstein gravity through thin-shell wormhole construction
• Charged anisotropic compact objects by gravitational decoupling
• The Gravitational decoupling method: the higher dimensional case to find new analytic solutions
• Einstein-Klein-Gordon by gravitational decoupling
• Anisotropic strange stars in Tolman-Kuchowicz spacetime
• Minimal Geometric Deformation: the inverse problem
• Generating physically realizable stellar structures via embedding
• A way of decoupling gravitational sources in pure Lovelock gravity
• A new model for spherically symmetric charged compact stars of embedding class one
• Relativistic Anisotropic Fluid Spheres Satisfying a Non-Linear Equation of State
• Extended gravitational decoupling in $2+1$ dimensional space--times
• Minimal Geometric Deformation in asymptotically (A-)dS space-times and the isotropic sector for a polytropic black hole
• All spherically symmetric charged anisotropic solutions for compact star
• Extending the geometric deformation: New black hole solutions
• A simple method to generate exact physically acceptable anisotropic solutions in general relativity
• Gravitational decoupling in $2+1$ dimensional space--times with cosmological term
• The Minimal Geometric Deformation Approach: a brief introduction
• Compact stars with specific mass function
• Relativistic compact stars with charged anisotropic matter
• Interior solutions of relativistic stars in the scale-dependent scenario
• Braneworld Gravity under gravitational decoupling
• Convection and cracking stability of spheres in General Relativity
• Modeling usual and unusual anisotropic spheres
• Packing extra mass in compact stellar structures: An interplay between Kalb-Ramond field and extra dimensions

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• Slowly rotating condensate dark stars beyond the mean-field approximation