Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The tortoise coordinates and the cauchy problem in the stable study of
  the Schwarzschild black hole   Generally, the Schwarzschild black hole was proved stable through two
different methods: the mode-decomposition method and the integral method. In
the paper, we show the integral method can only apply to the initial data
vanishing at both the horizon and the spatial infinity. It can not treat the
initial data only vanishing at the spatial infinity. We give an example to show
the misleading information caused by the use of the tortoise coordinates in the
perturbation equations. Subsequently, the perturbation equation in the
Schwarzschild coordinates is shown not sufficient for the stable study.

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The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
3
The categories of this paper are: physics
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph