Modelling anisotropic fluid spheres in general relativity

摘要: We argue that an arbitrary general relativistic static anisotropic fluid sphere, (static and spherically symmetric but with transverse pressure not equal to radial pressure), can nevertheless be successfully mimicked by suitable linear combinations of theoretically attractive quite simple classical matter: a (charged) isotropic perfect fluid, electromagnetic field, (minimally coupled) scalar field. While the most decomposition is unique, preferred minimal constructed unique. show how energy conditions for sphere related field components model. Furthermore we this relates distribution both electric charge density throughout The generalized TOV equation implies component in model automatically internal equilibrium, forces, forces balancing gravitational pseudo-force. Consequently, build matter models used mimic almost any spacetime.