Non-static, spherically symmetric, shear-free, perfect-fluid solutions of Einstein's equations

摘要

The Einstein equations for non-static, shear-free, spherically symmetric, perfect-fluid distributions reduce to one second-order non-linear differential equation in the radial parameter. General solutions of this equation have been obtained in Class. Quantum Grav., 16 (1999) 3553 by symmetry analysis. In this paper, we correct some examples of the solutions in the above-mentioned earlier work by formulating a general requirement for physical relevance of the solutions