Tortoise Coordinates and Hawking Radiation in a Dynamical Spherically Symmetric Spacetime
YANG Jian1, ZHAO Zheng2, TIAN Gui-Hua1, LIU Wen-Biao2
1School of Sciences, Beijing University of Posts and Telecommunications, Beijing 1008762Department of Physics, Institute of Theoretical Physics, Beijing Normal University, Beijing 100875
Tortoise Coordinates and Hawking Radiation in a Dynamical Spherically Symmetric Spacetime
YANG Jian1, ZHAO Zheng2, TIAN Gui-Hua1, LIU Wen-Biao2
1School of Sciences, Beijing University of Posts and Telecommunications, Beijing 1008762Department of Physics, Institute of Theoretical Physics, Beijing Normal University, Beijing 100875
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.
Abstract：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.
YANG Jian;ZHAO Zheng;TIAN Gui-Hua;LIU Wen-Biao. Tortoise Coordinates and Hawking Radiation in a Dynamical Spherically Symmetric Spacetime[J]. 中国物理快报, 2009, 26(12): 120401-120401.
YANG Jian, ZHAO Zheng, TIAN Gui-Hua, LIU Wen-Biao. Tortoise Coordinates and Hawking Radiation in a Dynamical Spherically Symmetric Spacetime. Chin. Phys. Lett., 2009, 26(12): 120401-120401.
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