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The effect of the tortoise coordinate on the stable study of the Schwarzschild black hole

Tian Gui-hua·Shi-kun Wang·Shuquan Zhong
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Abstract

Carefully analyze influence of the tortoise coordinates r* and t on the stable study of the Schwarzschild black hole. Actually, one should be cautious in using the compact property of the perturbation field: it is true only with respect with the coordinate r and proper time or "good time", not the tortoise coordinates r* and t. Therefore, the mathematical proof used in reference [7] is incorrect because of it relying on the compact property of the perturbation fields. The Schwarzschild black hole might be unstable[1]-[5]

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Tian Gui-hua, Shi-kun Wang, Shuquan Zhong. 2006-03-29. The effect of the tortoise coordinate on the stable study of the Schwarzschild black hole. https://arxiv.org/abs/gr-qc/0603113

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