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The uncertainty principle and Bekenstein–Hawking entropy corrections

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Abstract

There is much attention on the corrections to Bekenstein–Hawking entropy in area with a model-dependent coefficient. The corrections are generally composed of two parts: quantum corrections and thermal corrections. The generalized uncertainty principle (GUP), which will reduce to the conventional Heisenberg relation in situations of weak gravity, is one of the candidates to be utilized to obtain the quantum corrections to the Bekenstein–Hawking entropy. Recently the extended uncertainty principle (EUP) and generalized extended uncertainty principle (GEUP) are introduced to calculate entropy corrections with large length scales limit. In this paper, we obtain the quantum corrections to Bekenstein–Hawking entropy in four-dimensional Schwarzschild black holes based on the EUP and GEUP. Some attractive results are derived.

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Authors and Affiliations

  1. School of Physics and Optoelectronic Technology, Dalian University of Technology, 116024, Dalian, Liaoning, People’s Republic of China

    Fu Jun Wang, Yuan Xing Gui & Yu Zhang

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  1. Fu Jun Wang
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  2. Yuan Xing Gui
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  3. Yu Zhang
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Correspondence to Yuan Xing Gui.

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Wang, F.J., Gui, Y.X. & Zhang, Y. The uncertainty principle and Bekenstein–Hawking entropy corrections. Gen Relativ Gravit 41, 2381–2387 (2009). https://doi.org/10.1007/s10714-009-0766-1

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  • DOI: https://doi.org/10.1007/s10714-009-0766-1

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