Information entropy for static spherically symmetric black holes |
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Authors: | Jiang Ji-Jian and Li Chuan-An |
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Institution: | Department of Physics, Heze University, Heze 274015, China |
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Abstract: | By using the new equation of state density derived from the
generalized uncertainty relation, the number of the quantum states
near event horizon is obtained, with which then the information
entropy of static spherically symmetric black holes has been
discussed. It is found that the divergent integral of quantum states
near the event horizon can be naturally avoided if using the new
equation of state density without introducing the ultraviolet
cut-off. The information entropy of black holes can be obtained
precisely by the residue theorem, which is shown to be proportional
to the horizon area. The information entropy of black holes obtained
agrees with the Bechenstein--Hawking entropy when the suitable
cutoff factor is adopted. |
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Keywords: | black hole event horizon generalized uncertainty relation information entropy |
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