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

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Abstract

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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Authors and Affiliations

  1. Department of Physics, Institute of Theoretical Physics, Beijing Normal University, 100875, Beijing, China

    Gang Wang, Bo Liu & Wenbiao Liu

Authors
  1. Gang Wang
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  2. Bo Liu
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  3. Wenbiao Liu
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Correspondence to Wenbiao Liu.

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Wang, G., Liu, B. & Liu, W. Coordinates problem of Hawking radiation derivation in a Kerr–Newman black hole using Hamilton–Jacobi equation. Gen Relativ Gravit 42, 633–640 (2010). https://doi.org/10.1007/s10714-009-0876-9

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  • DOI: https://doi.org/10.1007/s10714-009-0876-9

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