Wave functions for quantum black hole formation in scalar field collapse

Dongsu Bak, Sang Pyo Kim, Sung Ku Kim, Kwang Sup Soh, Jae Hyung Yee

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8 Scopus citations


We study quantum mechanically self-similar black hole formation by a collapsing scalar field and find the wave functions that give the correct semiclassical limit. In contrast with classical theory, the wave functions for black hole formation even in the supercritical case have not only incoming flux but also outgoing flux. From this result we compute the rate for black hole formation. In the subcritical case our result agrees with the semiclassical tunneling rate. Furthermore, we show how to recover the classical evolution of black hole formation from the wave function by defining the Hamilton-Jacobi characteristic function as (Formula presented) We find that the quantum-corrected apparent horizon deviates from the classical value only slightly without any qualitative change even in the critical case.

Original languageEnglish
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number4
StatePublished - 2000


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