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

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

2006-03-29

arxiv.org/abs/gr-qc/0603113v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5pages, no figure

Scientific paper

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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