# Nonstatic Solutions of Einstein's Field Equations for Spheres of Fluids Radiating Energy

@article{Vaidya1951NonstaticSO, title={Nonstatic Solutions of Einstein's Field Equations for Spheres of Fluids Radiating Energy}, author={P. C. Vaidya}, journal={Physical Review}, year={1951}, volume={83}, pages={10-17} }

The energy tensor for a mixture of matter and outflowing radiation is derived, and a set of equations following from Einstein's field equations are written down whose solutions would represent nonstatic radiating spherical distributions. A few explicit analytical solutions are obtained, which describe a distribution of matter and outflowing radiation for r≤a(t), an ever-expanding zone of pure radiation for a(t)≤r≤b(t) and empty space beyond r=b(t). Since db(t)dt is almost equal to 1 and da(t)dt… Expand