Spherically Symmetric Static Solution for a Schwarzschild Black Hole with Its Hawking Radiation

A black hole and its Hawking radiation may be in stable thermal equilibrium.In this letter,the static spherically symmetric numerical solution for a Schwarzschild black hole with its Hawking radiation are obtained.In the calculation,the equilibrium system is supposed to consist of a black hole,thermal radiation and a two-dimensional surface layer.The solutions obtained are compared with the York's back-reaction approach and the Zhao-Liu thermodynamic approach.