Modelling of anisotropic compact stars of emebedding class one

Abstract

In the present article, we have constructed static anisotropic compact star models of Einstein field equations for the spherical symmetric metric of embedding class one. By assuming the particular form of metric function $\nu$, We have solved the Einstein field equations for anisotropic matter distribution. The anisotropic models are representing the realistic compact objects such as SAX J 1808.4-3658 (SS1), Her X - 1, Vela X-12, PSR J1614-2230 and Cen X - 3. We have reported our results in details for compact star Her X-1 on the ground of physical properties such as pressure, density, velocity of sound, energy conditions, TOV equation and red-shift etc. Along with these, we have also discussed about stability of the compact star models. Finally we made the comparison between our anisotropic stars with the realistic objects on the key aspects as central density, central pressure, compactness and surface red-shift.

16 pages, 15 figures and 2 tables, Eur. Phys. J. A (2016) 52: 312

References in corpus (16)

• Sound Speeds, Cracking and Stability of Self-Gravitating Anisotropic Compact Objects
• All static spherically symmetric anisotropic solutions of Einstein's equations
• Bounds on the basic physical parameters for anisotropic compact general relativistic objects
• Anisotropic models for compact stars
• Singularity-free solutions for anisotropic charged fluids with Chaplygin equation of state
• Analytical models for quark stars
• Quark star model with charged anisotropic matter
• Measurement of the production and lepton charge asymmetry of $\text{W}$ bosons in Pb+Pb collisions at $\sqrt{s_{\mathbf{NN}}}=$ 2.76 TeV with the ATLAS detector
• Charged compact objects in the linear regime
• A new solution of embedding class I representing anisotropic fluid sphere in general relativity
• Stellar objects in the quadratic regime
• The Dark Energy Star and Stability analysis
• Nonlinear Shear-free Radiative Collapse
• Compact stars with linear equation of state in isotropic coordinates
• Generalised compact spheres in electric fields
• A new exact solution for anisotropic compact stars of embedding class one

Cited by in corpus (26)

• Anisotropic fluid spheres of embedding class one using Karmarkar condition
• Compact Anisotropic Models in General Relativity by Gravitational Decoupling
• Karmarkar scalar condition
• Charged anisotropic compact objects by gravitational decoupling
• Existence of Non-singular Stellar Solutions within the context of Electromagnetic Field: A Comparison between Minimal and Non-minimal Gravity Models
• A family of charged compact objects with anisotropic pressure
• A charged anisotropic well-behaved Adler-Finch-Skea solution Satisfying Karmarkar Condition
• A new class of relativistic model of compact stars of embedding class I
• Bardeen Stellar Structures with Karmarkar Condition
• Anisotropic stars for spherically symmetric spacetimes satisfying the Karmarkar condition
• Anisotropic spheres via embedding approach in $\mathcal{R}+\beta {\mathcal{R}}^2$ gravity with matter coupling
• Compact stars with specific mass function
• Charged Vaidya-Tikekar model for super compact star
• Effects of Non-minimal Matter-geometry Coupling on Embedding Class-one Anisotropic Solutions
• Relativistic compact stars with charged anisotropic matter
• Spatially Hyperbolic Gravitating Sources in $\Lambda$-Dominated Era
• Influence of Charge on Anisotropic Class-one Solution in Non-minimally Coupled Gravity
• Embedded Class-I Solution of Compact Stars in $f(R)$ Gravity with Karmarkar Condition
• Modeling of charged anisotropic compact stars in general relativity
• Spherically symmetric wormholes of embedding class one
• The trace of the trace of the energy-momentum tensor-dependent Einstein's field equations
• Strange star with Krori-Barua potential in presence of anisotropy
• A model for dark energy based on the theory of embedding
• Anisotropic Approach: Compact star as generalized Model
• Radial Oscillations of the HESS J1731-347 Compact Object via the Karmarkar Condition in Gravity
• Stellar modeling via the Tolman IV solution: The cases of the massive pulsar J0740+6620 and the HESS J1731-347 compact object