The determination of event horizon in accelerating non-stationary black holes;

To describe the observable physics,we have ignored the classically irrelevant ingoing modes at the event horizon(EH) and the classically irrelevant outgoing modes at the cosmological horizon(CH) to formulate the effective theory.

positive expressions of quartic equation s trigonometric solution is given by a series of transformationes,and this equation is used to study event horizon of a uniformly rectilinearly acceleratiing Kerr black hole.

The black holes concerned have thermal radiation,affecting the event horizon temperature at singular points significantly.

Using entropy density near event horizon of the Vaidya-Bonner-de Sitter black hole,the instantaneous radiant emittance is calculated out,and a conclusion that the instantaneous radiant emittance of black hole at any time is always proportional to quartic power of temperature of the event horizon of black hole is obtained.

using entropy density near event horizon of the Vaidya-Bonner black hole,the instantaneous radiant exitance is calculated,and a conclusion that the instantaneous radiant exitance of black hole at any time is always proportional to quartic power of temperature of the event horizon of black hole is abtained.

The local event horizons,the temperatures and the speora of scalar field are given.

This method makes the dynamic treatment for the temperature boundary condition easy and reliable.

Main factors and variation laws of temperature boundary conditions of large-scale aqueducts are determined by analyzing and calculating the temperature boundary conditions.