Spherical Collapse of a Mass-Less Scalar Field With Semi-Classical Corrections

Details Spherical Collapse of a Mass-Less Scalar Field With Semi-Classical Corrections Spherical Collapse of a Mass-Less Scalar Field With Semi-Classical Corrections

1997-04-09

arxiv.org/abs/gr-qc/9704027v1

Phys.Rev. D56 (1997) 4768-4774

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, 16 eps figures, LaTeX 2e using the caption and mathletters styles (included)

Scientific paper

10.1103/PhysRevD.56.4768

We investigate numerically spherically symmetric collapse of a scalar field in the semi-classical approximation. We first verify that our code reproduces the critical phenomena (the Choptuik effect) in the classical limit and black hole evaporation in the semi classical limit. We then investigate the effect of evaporation on the critical behavior. The introduction of the Planck length by the quantum theory suggests that the classical critical phenomena, which is based on a self similar structure, will disappear. Our results show that when quantum effects are not strong enough, critical behavior is observed. In the intermediate regime, evaporation is equivalent to a decrease of the initial amplitude. It doesn't change the echoing structure of near critical solutions. In the regime where black hole masses are low and the quantum effects are large, the semi classical approximation breaks down and has no physical meaning.

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