Entropy of the rotating and charged black string to all orders in the Planck length |
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Authors: | Zhao Ren Wu Yue-Qin and Zhang Li-Chun |
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Institution: | Institute of Theoretical Physics, Shanxi Datong University,
Datong 037009, China;Department of Physics, Shanxi Datong University, Datong
037009, China |
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Abstract: | By using the entanglement entropy method, this paper calculates the
statistical entropy of the Bose and Fermi fields in thin films, and
derives the Bekenstein--Hawking entropy and its correction term on
the background of a rotating and charged black string. Here, the
quantum field is entangled with quantum states in the black
string and thin film to the event horizon from outside the
rotating and charged black string. Taking into account the effect of the
generalized uncertainty principle on quantum state density, it
removes the difficulty of the divergence of state density near
the event horizon in the brick-wall model. These calculations and
discussions imply that high density quantum states near the
event horizon of a black string are strongly correlated with the
quantum states in a black string and that black string entropy is a
quantum effect. The ultraviolet cut-off in the brick-wall model is
not reasonable. The generalized uncertainty principle should be
considered in the high energy quantum field near the event horizon.
From the viewpoint of quantum statistical mechanics, the correction
value of Bekenstein--Hawking entropy is obtained. This allows the fundamental recognition
of the correction value of black string entropy at
nonspherical coordinates. |
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Keywords: | quantum statistics nonspherical
symmetry spacetime generalized uncertainty principle entropy of
black string |
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