Surface gravity and Hawking temperature from entropic force viewpoint

TL;DR

This paper explores how the entropic force perspective can derive surface gravity and Hawking temperature for black holes, showing consistency with traditional results at the event horizon.

Contribution

It demonstrates that the entropic force approach reproduces surface gravity and Hawking temperature for Schwarzschild and Reissner-Nordström black holes at the horizon.

Findings

Entropic force yields Hawking temperature at the horizon.

Surface gravity is recovered from the entropic force perspective.

Results are consistent with classical black hole thermodynamics.

Abstract

We consider a freely falling holographic screen for the Schwarzschild and Reissner-Nordstr\"om black holes and evaluate the entropic force \`a la Verlinde. When the screen crosses the event horizon, the temperature of the screen agrees to the Hawking temperature and the entropic force gives rise to the surface gravity for both of the black holes.