Article

# SURFACE GRAVITY AND HAWKING TEMPERATURE FROM ENTROPIC FORCE VIEWPOINT

(Impact Factor: 1.34). 11/2011; 25(33). DOI: 10.1142/S0217732310033979

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.

1 Follower
·
84 Views
• Source
• "Einstein's theory of gravity was also interpreted in a similar manner. This concept has been elaborated in various works[9] [10]. "
##### Article: A Note on the Thermodynamical Origin of Gravity
[Hide abstract]
ABSTRACT: Following Mach's definition of mass and force in terms of space time measurement we build the conceptual structure of classical mechanics and show that it is remarkably similar to the results of Carnot and Clausius in thermodynamics. The analogy is extended to equality to derive the laws of gravity from the laws of thermodynamics. Comment: LaTex, 13 pages, no figures
• Source
##### Article: Temperature and Energy of 4-Dimensional Axisymmetric Black Holes from Entropic Force
[Hide abstract]
ABSTRACT: We investigate the temperature and energy on holographic screens for 4-dimensional axisymmetric black holes with the entropic force idea proposed by Verlinde. According to the principle of thermal equilibrium, the location of holographic screen outside the axisymmetric black hole horizon is not a equivalent radius surface. The location of isothermal holographic screen outside the axisymmetric black hole horizon is obtained. Using the equipartition rule, we derive the correction expression of energy of isothermal holographic screen. When holographic screens are far away the black hole horizon, the entropic force of charged rotating particles can be expressed as Newton’s law of gravity. When the screen crosses the event horizon, the temperature of the screen agrees with the Hawking temperature and the entropic force gives rise to the surface gravity for both of the black holes. KeywordsEntropic force–Holographic screens–Axisymmetric spacetime–Thermal equilibrium
International Journal of Theoretical Physics 01/2011; 50(1):244-250. DOI:10.1007/s10773-010-0516-x · 1.19 Impact Factor
• ##### Article: Entanglement entropy of a black hole and isolated horizon
[Hide abstract]
ABSTRACT: Using Unruh-Verlinde temperature obtained by entropic force, we directly calculate partition functions of quantum field in Schwarzschild spacetime via quantum statistical method and derive the expression of the black hole statistical entropy. In our calculation the lower limit of integral is the location of isolated horizon introduced in loop quantum gravity and the upper limit of integral is infinity. So the obtained entropy is the statistical entropy from isolated horizon to the infinite. In our calculation there are not the cutoff and approximation. The results showed that, as long as proper Immirzi parameters are selected, the entropy obtained by loop quantum gravity is consistent with the quantum statistical entropy outside the black hole horizon. Therefore the black hole entropy is a quantum entanglement entropy outside the isolated horizon.
Astrophysics and Space Science 02/2012; 343(2). DOI:10.1007/s10509-012-1263-7 · 2.40 Impact Factor