English

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

High Energy Physics - Theory 2015-03-13 v4 General Relativity and Quantum Cosmology

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 MM but the reduced mass M0M_0, which is related to the black hole parameters. With the replacement of the black hole mass MM by the reduced mass M0M_0, the entropic force can be written as F=GmM0r2F=\frac{GmM_0}{r^2}, which could be tested by experiments.

Keywords

Cite

@article{arxiv.1002.1062,
  title  = {A Note on Temperature and Energy of 4-dimensional Black Holes from Entropic Force},
  author = {Yu-Xiao Liu and Yong-Qiang Wang and Shao-Wen Wei},
  journal= {arXiv preprint arXiv:1002.1062},
  year   = {2015}
}

Comments

V4: 13 pages, 4 figures, title changed, discussions for experiments added, accepted by CQG