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Fluctuation around horizon on a Schwarzschild
black hole using the null geodesic method |
Ji-li HUANG(黄基利),Wen-biao LIU(刘文彪), |
Department
of Physics, Institute of Theoretical Physics, Beijing Normal University,
Beijing 100875, China; |
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Abstract Using the null geodesic method, Hawking radiation from the horizon of a Schwarzschild black hole is calculated. The thermodynamics can be built successfully on the horizon where the apparent horizon and event horizon are coincident with each other. When a relativistic perturbation is given to the horizon, the first law of thermodynamics can also be constructed at a new supersurface near the horizon successfully. The expressions of the characteristic position and temperature are consistent with the previous result while the thermodynamics was built on the event horizon in a Vaidya black hole. Therefore, the thermodynamics of a dynamical black hole should be constructed on the apparent horizon exactly, and the event horizon thermodynamics is just one of the perturbations near the apparent horizon.
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Keywords
Hawking radiation
thermodynamics
dynamical black hole
apparent horizon
event horizon
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Issue Date: 05 December 2009
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