Quantum Black Hole. I : Astrophysics and Relativity

概要

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Using the Hartle-Hawking no-boundary proposal for the wave function of the universe, we can study the wave function and probability of a single black hole created at the birth of the universe. We begin with a quantum spherically symmetric model. At the semi-classical level, this turns out to be a S^2×S^1 model. The black hole originates from a gravitational instanton with conical singularities. The wave function and probability of a universe with a black hole are calculated at the WKB level. The probability of black hole creation is the exponential of one quarter of the sum of the areas of the black hold and cosmological horizons. One quarter of this sum is the total entropy of the universe. The probability is an exponentially decreasing function of its mass parameter. It is conjectured that these arguments apply to all types of black holes in the de Sitter space background.
理論物理学刊行会の論文
1997-06-25