Prog. Theor. Phys. Vol. 78 No. 6 (1987) pp. 1300-1316

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Hawking Radiation Due to a Collapsing Star

— Two-Dimensional Oppenheimer-Snyder Model —

Kousuke Shizume and Shin Takagi

Department of Physics, Tohoku University, Sendai 980

(Received August 19, 1987)

Abstract:

We calculate the renormalized stress tensor of the Hawking radiation due to the massless scalar field in the two-dimensional version of the Oppenheimer-Snyder model of the gravitational collapse with the formula given by Davies, Fulling and Unruh. It is shown that the behavior of the energy density of the radiation seen by a distant observer is not sensitive to the value of the initial radius of the collapsing star even much before it takes the well-known asymptotic form at late retarded times. This transient period lasts for about 20 M in the observer's proper time, where M is the stellar mass. A freely falling observer who approaches the singularity observes the negative divergence of the energy density of the radiation both in the interior and the exterior of the star except on the surface. It is shown that the negative divergence in the interior is closely related to the negative pressure due to the quantum field.

URL : http://ptp.ipap.jp/link?PTP/78/1300/
DOI : 10.1143/PTP.78.1300

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Citing Article(s) :

Progress of Theoretical Physics Vol. 81 No. 4 (1989) pp. 826-840 :
Hawking Radiation Due to a Collapsing Star. II

Kousuke Shizume and Shin Takagi
Progress of Theoretical Physics Vol. 83 No. 5 (1990) pp. 941-952 :
Quantum Field Theory in Two-Dimensional Schwarzschild-de Sitter Spacetime. I

Shin-ichi Tadaki and Shin Takagi