Surface gravity and Hawking temperature from entropic force viewpoint

Abstract

We consider a freely falling holographic screen for the Schwarzschild and Reissner-Nordström black holes and evaluate the entropic force à 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.

7 pages, 1 figure; RevTeX4

References in corpus (16)

• Acoustic black holes: horizons, ergospheres, and Hawking radiation
• Relationship between Hawking Radiation and Gravitational Anomalies
• Black Hole Greybody Factors and D-Brane Spectroscopy
• Entropy of Static Spacetimes and Microscopic Density of States
• Greybody factors for rotating black holes in four dimensions
• Four-dimensional greybody factors and the effective string
• Hawking Radiation, Effective Actions and Covariant Boundary Conditions
• Black Hole Greybody Factors and Absorption of Scalars by Effective Strings
• Hawking Radiation, Covariant Boundary Conditions and Vacuum States
• Hawking radiation of linear dilaton black holes
• Dilaton driven Hawking radiation in AdS${}_2$ black hole
• Hawking Temperature and String Scattering off the 2+1 Black Hole
• Greybody factor for the BTZ black hole and a 5D black hole
• Greybody Factor and Hawking Radiation of Charged Dilatonic Black Holes
• Covariant Anomalies, Horizons and Hawking Radiation
• Scattering amplitudes and thermal temperatures of the Schwarzschild-de Sitter black holes

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