Anisotropic fluids and conformal motions in general relativity

摘要: We study the consequences of existence a one‐parameter group conformal motions for anisotropic matter, in context general relativity. It is shown that class (special motions), equation state uniquely determined by Einstein equations. For spherically symmetric and static distributions matter we found two analytical solutions equations which correspond to isotropic respectively. Both can be matched Schwarzschild exterior metric possesses positive energy density larger than stresses, everywhere within sphere.