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arXiv · 1002.1062

A Note on Temperature and Energy of 4-dimensional Black Holes from Entropic Force

Yu-Xiao Liu·Yong-Qiang Wang·Shao-Wen Wei
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Abstract

We investigate the temperature and energy on holographic screens for 4-dimensional black holes with the entropic force idea proposed by Verlinde. We find that the "Unruh-Verlinde temperature" is equal to the Hawking temperature on the horizon and can be considered as a generalized Hawking temperature on the holographic screen outside the horizons. The energy on the holographic screen is not the black hole mass $M$ but the reduced mass $M_0$, which is related to the black hole parameters. With the replacement of the black hole mass $M$ by the reduced mass $M_0$, the entropic force can be written as $F=\frac{GmM_0}{r^2}$, which could be tested by experiments.

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Yu-Xiao Liu, Yong-Qiang Wang, Shao-Wen Wei. 2010-07-02. A Note on Temperature and Energy of 4-dimensional Black Holes from Entropic Force. https://doi.org/10.1088/0264-9381%2F27%2F18%2F185002

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