Shear-free spherically symmetric spacetimes with an equation of state p = αρ

@inproceedings{Wagh2001ShearfreeSS,
  title={Shear-free spherically symmetric spacetimes with an equation of state p = αρ},
  author={Sanjay Moreshwar Wagh and Megan Govender and Keshlan S. Govinder and Sunil D. Maharaj and Pradeep S. Muktibodh and Mervlyn Moodley},
  year={2001}
}
We report on solutions to the Einstein field equations representing spherically symmetric, shear-free spacetimes with heat flux. The source matter for all of these spacetimes satisfies an equation of state of the barotropic form p = αρ where p and ρ are the pressure and density of the matter fluid while α is a constant. As an application, we model the collapse of a shear-free, radiating star which dissipates energy in the form of a radial heat flux. The heat flows from the hotter parts of the… CONTINUE READING