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Corrected Stefan–Boltzmann Law and Lifespan of a Black Hole |
| HE Tang-Mei1, YANG Jin-Bo2, ZHANG Jing-Yi2** |
1Laboratory Center, Guangzhou University, Guangzhou 510006
2Center for Astrophysics, Guangzhou University, Guangzhou 510006
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| Cite this article: |
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HE Tang-Mei, YANG Jin-Bo, ZHANG Jing-Yi 2014 Chin. Phys. Lett. 31 080401 |
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Abstract The corrected Stefan–Boltzmann law of black holes in the frame of a generalized uncertainty principle is derived through the Planck equation of thermal radiation. The result is different from the flat spacetime: a corrected T6 term induced by the generalized uncertainty principle emerges; the coefficient of the T4 term is no longer a constant while related with the spacetime in the vicinity of the event horizon and the thin film model. Applying this corrected law to black hole radiation, the highest temperature in the final time of the radiation and the corresponding remnant with a mass of order of Planck mass are obtained. The lifespan of black holes is also corrected, however, the correction is extremely small.
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Published: 28 July 2014
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| PACS: |
04.70.Dy
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(Quantum aspects of black holes, evaporation, thermodynamics)
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