Coordinates problem of Hawking radiation derivation in a Kerr-Newman black hole using Hamilton-Jacobi equation

Statistics – Computation

Scientific paper

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Kerr–Newman Black Hole, Painleve Coordinate, Eddington Coordinate, Hawking Radiation

Scientific paper

Hawking radiation from a Kerr-Newman black hole is investigated using Hamilton-Jacobi method more deeply. A direct computation will lead to a wrong result via Hamilton-Jacobi method. However, when the well-behaved Painleve coordinate system and Eddington coordinate system are considered, we can get the correct result. The reason of the discrepancy between naive coordinate and well-behaved coordinates is also discussed.

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