Astronomy and Astrophysics – Astrophysics
Scientific paper
Jul 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993cha%26a..17..247w&link_type=abstract
Chinese Astronomy and Astrophysics, Volume 17, Issue 3, p. 247-256.
Astronomy and Astrophysics
Astrophysics
Black Hole-Hawking Radiation-Tortoise Coordinate
Scientific paper
Using a new method, we give the radiative temperature and the event horizon equation of a Kerr black hole moving rectilinearly with a non-uniform acceleration without calculating the vacuum expectation values of the renormalised energy-momentum tensor. The temperature depends not only on the time but also on the polar angle. The location of the event horizon depends on the time and its shape is not spherically symmetric.
With the generalized tortoise coordinates, the Klein-Gordon equation can be reduced to the standard wave equation around the event horizon. The outgoing wave is not analytical, but it can be extended from the outside of the black hole to the inside by analytical continuation through the lower half complex plane. The relative scattering probability of the outgoing wave at the horizon is calculated and the spectrum of the Hawking radiation is given. It is just the Planck spectrum at each moment and space point of the event horizon for a temperature that varies with the time and the polar angle.
Wu Si
Zhao Zheng
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