Relativistic Modeling of Gravitationally Collapsing Anisotropic Fluid Ball with Occurrence of Horizon

  • Kali Charan Department of Mathematical and Statistical Sciences, Sri Ramswaroop Memorial University, Lucknow, India.
  • Jyoti Rani Department of Mathematics, Kumaun University, SSJ Campus, Almora, India.
Keywords: Exact solutions, Black hole, Gravitational collapse, Vaidya metric, Radiating star


We here investigate a relativistic model together with some new exact class of solutions for an anisotropic radiating star using Tewari and Charan [1] solution; as a seed solution. The interior metric obeyed all the relevant physical and thermodynamic conditions and matched with Vaidya exterior metric over the boundary. The model is physically and thermodynamically sound as it corresponds to the non-negative expressions for non homogeneous fluid density, both the radial and transverse pressures and radiation flux density throughout the fluid ball. Initially the interior solutions represent a static configuration of perfect fluid which then gradually starts evolving into radiating collapse. Consequently we have obtained the expressions of mass energy, physical radius, apparent luminosity, surface redshift and surface temperature of collapsing radiating star.