Hawking radiation of a quantum black hole in an inflationary universe.

Mathematics – Logic

Scientific paper

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Scientific paper

The quantum stress-energy tensor of a massless scalar field propagating in the two-dimensional Vaidya - de Sitter metric, which describes a classical model spacetime for a dynamical evaporating black hole in an inflationary universe, is analysed. The author presents a possible way to obtain the Hawking radiation terms for the model with arbitrary functions of mass. It is used to see how the expansion of universe will affect the dynamical process of black hole evaporation. The results show that the cosmological inflation has the tendency to depress the black hole evaporation. However, if the cosmological constant is sufficiently large, then the back-reaction effect tends to increase the black hole evaporation. The author also shows that the evaporation will always produce a divergent flux of outgoing radiation along the Cauchy horizon where the curvature has a finite value.

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