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Tortoise Coordinates and Hawking Radiation in a Dynamical Spherically Symmetric Spacetime

Tortoise Coordinates and Hawking Radiation in a Dynamical Spherically Symmetric Spacetime
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摘要 Hawking effect from dynamical spherical Vaidya black hole, Vaidya-Bonner black hole, and Vaidya-de Sitter black hole is investigated using the improved Damour-Ruffini method. After the new tortoise coordinate transformation in which the position r of event horizon is an undetermined function and the temperature parameter κ is an undetermined constant, the Klein-Gordon equation can be written as the standard form at the event horizon, and both r and κ can be determined automatically. Then extending the outgoing wave from outside to inside of the horizon analytically, the Hawking temperature can also be obtained automatically. Hawking effect from dynamical spherical Vaidya black hole, Vaidya-Bonner black hole, and Vaidya-de Sitter black hole is investigated using the improved Damour-Ruffini method. After the new tortoise coordinate transformation in which the position r of event horizon is an undetermined function and the temperature parameter κ is an undetermined constant, the Klein-Gordon equation can be written as the standard form at the event horizon, and both r and κ can be determined automatically. Then extending the outgoing wave from outside to inside of the horizon analytically, the Hawking temperature can also be obtained automatically.
作者 杨健
出处 《Chinese Physics Letters》 SCIE CAS CSCD 2009年第12期42-44,共3页 中国物理快报(英文版)
基金 Supported by the National Natural Science Foundation of China under Grant Nos 10773002, 10875012 and 10875018, and the National Basic Research Program of China under Grant No 2003CB716302.
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