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Coordinates Used in Derivation of Hawking Radiation via Hamilton-Jacobi Method

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Abstract

Coordinates used in derivation of Hawking radiation via Hamilton-Jacobi method are investigated more deeply. In the case of a 4-dimensional Schwarzschild black hole, a direct computation leads to a wrong result. In the meantime, making use of the isotropic coordinate or invariant radial distance, we can get the correct conclusion. More coordinates including Painleve and Eddington-Finkelstein are tried to calculate the semi-classical Hawking emission rate. 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, Beijing, 100875, China

    Bo Liu, Xiaokai He & Wenbiao Liu

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  1. Bo Liu
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  2. Xiaokai He
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  3. Wenbiao Liu
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Correspondence to Wenbiao Liu.

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Liu, B., He, X. & Liu, W. Coordinates Used in Derivation of Hawking Radiation via Hamilton-Jacobi Method. Int J Theor Phys 48, 1334–1340 (2009). https://doi.org/10.1007/s10773-008-9904-x

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  • DOI: https://doi.org/10.1007/s10773-008-9904-x

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