Anisotropic fluid spheres satisfying Karmarkar condition

2018/10/25 by Francisco Tello‐Ortiz, Tello-Ortiz, Francisco
Physics and Astronomy · Earth and Planetary Sciences · #Cosmology and Gravitation Theories #Black Holes and Theoretical Physics #Geophysics and Gravity Measurements

paper · pdf · doi:10.48550/arxiv.1810.11324

Abstract

In this work we obtain an analytic and well behaved solution to Einstein's field equations describing anisotropic matter distribution. It's achieved in the embedding class one spacetime framework using Karmarkar's condition. We ansatz the metric potential g_tt corresponding to Wyman IIa solution. The obtained model is representing some strange star candidates such as Cen X-3, LMC X-4 and 4U 1538-52. A graphical analysis shows that our model is free from physical and geometric singularities and satisfies all the physical admissibility conditions from the physical and mathematical point of view.

Related

• Solution of Einstein Field Equations for Anisotropic Matter with Vanishing Complexity: Spacetime Metric Satisfying Karmarkar Condition and Conformally Flat Geometry
• Physical viability of fluid spheres satisfying the Karmarkar condition
• A new class of relativistic model of compact stars of embedding class I
• A new solution of Einstein's field equations in isotropic coordinates
• An analytical anisotropic compact stellar model of embedding class I