Compact stellar model in presence of pressure anisotropy in modified Finch Skea spacetime

Abstract

A new model of anisotropic compact star is obtained in our present paper by assuming the pressure anisotropy. The proposed model is singularity free. The model is obtained by considering a physically reasonable choice for the metric potential $g_{rr}$ which depends on a dimensionless parameter `n'. The effect of $n$ is discussed numerically, analytically and through plotting. We have concentrated a wide range for n ($10\le n\le 1000$) for drawing the profiles of different physical parameters. The maximum allowable mass for different values of $n$ have been obtained by M-R plot. We have checked that the stability of the model is increased for larger value of $n$. For the viability of the model we have considered two compact stars PSR J1614-2230 and EXO 1785-248. We have shown that the expressions for the anisotropy factor and the metric component may serve as generating functions for uncharged stellar models in the context of the general theory of relativity.

arXiv comment17 pages, 12 figures, Accepted in Journal of Astrophysics and Astronomy on 03.01.2021

References in corpus (28)

• Shapiro delay measurement of a two solar mass neutron star
• 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
• The Mass and Radius of the Neutron Star in EXO 1745-248
• A class of relativistic stars with a linear equation of state
• Anisotropic Stars II : Stability
• Strange stars in Krori-Barua space-time
• Singularity-free solutions for anisotropic charged fluids with Chaplygin equation of state
• Charged anisotropic models for quark stars
• Physically viable solutions of anisotropic spheres in $f(\mathcal{R},\mathcal{G})$ gravity satisfying the Karmarkar condition
• Relativistic stellar model admitting a quadratic equation of state
• Charged analogue of Finch-Skea stars
• Analytical models for quark stars
• Anisotropic Quintessence stars
• Modified Finch and Skea stellar model compatible with observational data
• A conformally flat realistic anisotropic model for a compact star
• The Dark Energy Star and Stability analysis
• A family of Finch and Skea relativistic stars
• Vaidya-Tikekar Type Superdense Star Admitting Conformal Motion in Presence of Quintessence Field
• Bounds on 2m/R for static spherical objects
• Finch-Skea star in (2+1) dimensions
• Anisotropic generalization of well-known solutions describing relativistic self-gravitating fluid systems: An algorithm
• Exact solution of a (2 + 1) dimensional anisotropic star in Finch and Skea spacetime
• Bounds on M/R for static objects with a positive cosmological constant
• Revisiting Vaidya-Tikekar stellar model in the linear regime
• A New Anisotropic Compact Star Model having Matese \& Whitman Mass Function
• Anisotropic Compacts Stars on Paraboloidal Spacetime with Linear Equation of State

Cited by in corpus (1)

• Relativistic Polytropic Models of Charged Anisotropic Compact Object