A new solution of embedding class I representing anisotropic fluid sphere in general relativity

Abstract

In the present paper we are willing to model anisotropic star by choosing a new grr metric potential. All the physical parameters like the matter density, radial and transverse pressure and are regular inside the anisotropic star, with the speed of sound less than the speed of light. So the new solution obtained by us gives satisfactory description of realistic astrophysical compact stars. The model of the present paper is compatible with observational data of compact objects like RX J1856-37, Her X-1, Vela X-12 and Cen X-3. A particular model of Her X-1 (Mass 0.98 times solar mass and radius=6.7 km.) is studied in detail and found that it satisfies all the condition needed for physically acceptable model. Our model is described analytically as well as with the help of graphical representation.

14 pages, 9 figures

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• 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
• A conformally flat realistic anisotropic model for a compact star
• Linear and Riccati equations in generating functions for stellar models in general relativity
• Exact solution of anisotropic compact stars via. mass function
• Dark energy stars: Stable configurations
• 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
• The spacetime geodesy of perfect fluid spheres