Which coordinate representations can give correct Hawking temperature of Kerr black hole by tunneling approach

Details Which coordinate representations can give correct Hawking temperature of Kerr black hole by tunneling approach Which coordinate representations can give correct Hawking temperature of Kerr black hole by tunneling approach

Nov 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009gregr..41.2529d&link_type=abstract

General Relativity and Gravitation, Volume 41, Issue 11, pp.2529-2541

Physics

3

Black Hole, Hawking Temperature, Tunneling Approach

Scientific paper

Some authors found that, in different coordinates, the tunneling approach gives different Hawking temperature for the Schwarzschild black hole recently. In this paper, by studying the Hawking radiation of the Kerr black hole arising from the scalar and Dirac particles, we find that, to obtain the Hawking temperature by using tunneling effect, the coordinate representations for the stationary Kerr black hole should satisfy two conditions: (a) to keep the Killing vectors {{ξ_{(t)}^μ}} and {{ξ_{(\varphi)}^μ}} invariant; and (b) the radial coordinate transformation is a regular and non-zero function.

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