Article

# Logarithmic correction to the Bekenstein-Hawking entropy

The Institute of Mathematical Sciences, Chennai 600 113, India.

Physical Review Letters (Impact Factor: 7.73). 03/2000; DOI: 10.1103/PhysRevLett.84.5255 Source: arXiv

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**ABSTRACT:**Recently, there has been a lot of attention devoted to resolving the quantum corrections to the Bekenstein–Hawking entropy of the black hole. In particular, the coefficient of the logarithmic term in the black hole entropy correction has been of great interest. In this paper, the black hole is corresponded to a canonical ensemble in statistics by radiant spectrum, resulted from the black hole tunnelling effect studies and the partition function of ensemble is derived. Then the entropy of the black hole is calculated. When the first-order approximation is taken into account, the logarithmic term of entropy correction is consistent with the result of the generalized uncertainty principle. In our calculation, there are no uncertainty factors. The prefactor of the logarithmic correction and the one if fluctuation is considered are the same. Our result shows that if the thermal capacity is negative, there is no divergent term. We provide a general method for further discussion on quantum correction to Bekenstein–Hawking entropy. We also offer a theoretical basis for comparing string theory and loop quantum gravity and deciding which one is more reliable.Modern Physics Letters A 11/2011; 22(23). · 1.11 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**A new conception is proposed in [E. P. Verlinde, arXiv:1001.0785 [hep-th] and [T. Padmanabhan, Mod. Phys. Lett. A25 (2010) 1129] that gravity is one kind of entropic force. In this letter, we try to discuss its applications to the modified gravities by using three different corrections to the area law of entropy which are derived from the quantum effects and extra dimensions. According to the assumption of holographic principle, the number of bits N which is related to the equipartition law of energy is modified. Then, the modified law of Newton's gravity and the modified Friedmann equations are obtained by using the new notion. By choosing suitable parameters, the modified area law of entropy leads to de Sitter solutions which can be used to explain the accelerating expansion of our universe. It suggests that the accelerating phase in our universe may be an emergent phenomenon based on holographic principle and thermodynamics.International Journal of Modern Physics D 05/2012; 20(08). · 1.03 Impact Factor - [Show abstract] [Hide abstract]

**ABSTRACT:**We study some consequences of a recently proposed description for a Schwarzschild black hole based on Euclidean brane pairs described in terms of chain-like excitations. A discrete mass-spectrum of Bekenstein-type is inferred and upon identification of the black hole mass with the chain's energy the leading corrections to both Hawking-temperature and specific heat of the black hole are obtained. The results indicate that for small black holes the evaporation process might be considerably altered.International Journal of Modern Physics A 01/2012; 20(13). · 1.13 Impact Factor

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