Quantum Creation of BTZ Black Hole

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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Scientific paper

The constrained instanton method is used to study quantum creation of a $BTZ$
black hole. It is found that the relative creation probability is the
exponential of the negative sum of the entropy associated with the outer and
inner black hole horizons. The quantum creations of the 4- or higher
dimensional versions of the $BTZ$ black hole are also studied.

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