4.4 Article

A note on the temperature and energy of four-dimensional black holes from an entropic force

Journal

CLASSICAL AND QUANTUM GRAVITY
Volume 27, Issue 18, Pages -

Publisher

IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/27/18/185002

Keywords

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Funding

  1. Program for New Century Excellent Talents in University
  2. National Natural Science Foundation of China [10705013]
  3. Chinese Ministry of Education [109153]
  4. Fundamental Research Funds for the Central Universities [lzujbky-2009-54, lzujbky-2009-122, lzujbky-2009-163]

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We investigate the temperature and energy on holographic screens for four-dimensional black holes with the entropic force idea proposed by Verlinde. We find that the 'Unruh-Verlinde temperature' is equal to theHawking 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 = GmM(0)/r(2), which could be tested by experiments.

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