Unruh–Verlinde Temperature and Energy of Charged Black Hole via Entropic Force

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Verlinde’s recent work, which showed that gravity may be explained as entropic force caused by the changes of information associated with the positions of material bodies, is extended to study the Unruh–Verlinde temperature and energy of a static spherically symmetric charged black hole. The results indicate that the Unruh–Verlinde temperature is equal to the Hawking temperature at the outer and inner horizons. The energy is dependent on the radius of the screen, which is also a consequence of the Gauss’ laws of gravity and electrostatics.