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