Quantum creation of a black hole by tunneling in scalar field collapse

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

doi:10.1103/PhysRevD.60.064005

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Quantum creation of a black hole by tunneling in scalar field collapse

Dongsu Bak^1,*, Sang Pyo Kim², Sung-Ku Kim³, Kwang Sup Soh⁴, and Jae Hyung Yee⁵

¹Department of Physics, University of Seoul, Seoul 130-743, Korea
²Department of Physics, Kunsan National University, Kunsan 573-701, Korea
³Department of Physics, Ewha Women’s University, Seoul 120-750, Korea
⁴Department of Physics Education, Seoul National University, Seoul 151-742, Korea
⁵Department of Physics, Yonsei University, Seoul 120-749, Korea

^*Electronic address: dsbak@mach.uos.ac.kr

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Phys. Rev. D 60, 064005 – Published 11 August, 1999

DOI: https://doi.org/10.1103/PhysRevD.60.064005

Abstract

The continuously self-similar solution of the spherically symmetric gravitational collapse of a scalar field is studied to investigate quantum-mechanical black-hole formation by tunneling in the subcritical case, where, classically, the collapse does not produce a black hole.

References (11)

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[c1] M. W. Choptuik, Phys. Rev. Lett. 70, 9 (1993).

[c2] D. Christodoulou, Commun. Math. Phys. 105, 337 (1986); ibid.106, 587 (1986); ibid.109, 591 (1987).

[c3] D. Goldwirth and T. Piran, Phys. Rev. D 36, 3575 (1987); R. Gómez, R. A. Isaacson, and J. Winicour, J. Comput. Phys. 98, 11 (1992).

[c4] M. D. Roberts, Gen. Relativ. Gravit. 21, 907 (1989).

[c5] P. R. Brady, Class. Quantum Grav. 11, 1255 (1994).

[c6] A. V. Frolov, Class. Quantum Grav. 16, 407 (1999).

[c7] S. W. Hawking and D. N. Page, Commun. Math. Phys. 87, 577 (1983).

[c8] M. A. Olhanetsky and A. M. Perelomov, Phys. Rep. 71, 313 (1981).

[c9] R. Bousso and S. W. Hawking, Phys. Rev. D 52, 5659 (1995).

[c10] J. B. Hartle and S. W. Hawking, Phys. Rev. D 28, 2960 (1983).

[c11] A. Vilenkin, “The Quantum Cosmology Debate,” gr-qc/9812027.

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Quantum creation of a black hole by tunneling in scalar field collapse

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