scholarly journals CFT and Logarithmic Corrections to the Black Hole Entropy Product Formula

2017 ◽  
Vol 2017 ◽  
pp. 1-8 ◽  
Author(s):  
Parthapratim Pradhan
Keyword(s):  
Field Theory ◽  
Black Hole ◽  
Thermal Equilibrium ◽  
Black Hole Entropy ◽  
Quantum Fluctuations ◽  
Product Formula ◽  
Conformal Field ◽  
Inner Horizon ◽  
Logarithmic Corrections ◽  
Entropy Product

We examine the logarithmic corrections to the black hole (BH) entropy product formula of outer horizon and inner horizon by taking into account the effects of statistical quantum fluctuations around the thermal equilibrium and via conformal field theory (CFT). We argue that, in logarithmic corrections to the BH entropy product formula when calculated using CFT and taking into account the effects of quantum fluctuations around the thermal equilibrium, the formula should not be universal and it also should not be quantized. These results have been explicitly checked by giving several examples.

scholarly journals Horizon Areas and Logarithmic Correction to the Charged Accelerating Black Hole Entropy

Universe ◽  
2019 ◽  
Vol 5 (2) ◽  
pp. 57 ◽  
Author(s):  
Parthapratim Pradhan
Keyword(s):  
Black Hole ◽  
Black Hole Entropy ◽  
Product Formula ◽  
Logarithmic Correction ◽  
Statistical Fluctuations ◽  
Inner Horizon ◽  
Logarithmic Corrections ◽  
Entropy Product ◽  
Geometric Product ◽  
Area Product

It has been shown by explicit and exact calculation that the geometric product formula i.e., area (or entropy) product formula of outer horizon ( H + ) and inner horizon ( H - ) for charged accelerating black hole (BH) should neither be mass-independent nor quantized. This implies that the area (or entropy ) product is mass-independent conjecture has been broken down for charged accelerating BH. This also further implies that the mass-independent feature of the area product of H ± is not a generic feature at all. We also compute the Cosmic-Censorship-Inequality for this BH. Moreover, we compute the specific heat for this BH to determine the local thermodynamic stability. Under certain criterion, the BH shows the second order phase transition. Furthermore, we compute logarithmic corrections to the entropy for the said BH due to small statistical fluctuations around the thermal equilibrium.

scholarly journals Logarithmic corrections of charged hairy black holes in (2 + 1) dimensions

2014 ◽  
Vol 92 (12) ◽  
pp. 1638-1642 ◽  
Author(s):  
J. Sadeghi ◽  
B. Pourhassan ◽  
F. Rahimi
Keyword(s):  
Field Theory ◽  
Black Holes ◽  
Black Hole ◽  
Conformal Field Theory ◽  
Scalar Field ◽  
Thermodynamic Properties ◽  
Conformal Field ◽  
Logarithmic Corrections ◽  
Hairy Black Holes ◽  
Metric Function

We consider a charged black hole with a scalar field that is coupled to gravity in (2 + 1)-dimensions. We compute the logarithmic corrections to the corresponding system using two approaches. In the first method we take advantage of thermodynamic properties. In the second method we use the metric function that is suggested by conformal field theory. Finally, we compare the results of the two approaches.

scholarly journals THERMODYNAMICS IN BLACK-HOLE/CFT CORRESPONDENCE

2013 ◽  
Vol 22 (12) ◽  
pp. 1342012 ◽  
Author(s):  
BIN CHEN ◽  
JIA-JU ZHANG
Keyword(s):  
Field Theory ◽  
Black Holes ◽  
Black Hole ◽  
Two Dimensional ◽  
Charged Black Holes ◽  
Conformal Field ◽  
Inner Horizon ◽  
Holographic Description ◽  
Area Law ◽  
Lower Dimensional

The area law of Bekenstein–Hawking entropy of the black hole suggests that the black hole should have a lower-dimensional holographic description. It has been found recently that a large class of rotating and charged black holes could be holographically described a two-dimensional (2D) conformal field theory (CFT). We show that the universal information of the dual CFT, including the central charges and the temperatures, is fully encoded in the thermodynamics laws of both outer and inner horizons. These laws, characterizing how the black hole responds under the perturbation, allows us to read different dual pictures with respect to different kinds of perturbations. The remarkable effectiveness of this thermodynamics method suggest that the inner horizon could play a key role in the study of holographic description of the black hole.

scholarly journals A Study on the logarithm correction of black hole entropy

2021 ◽  
Vol 2083 (2) ◽  
pp. 022042
Author(s):  
Chengyu Liu ◽  
Minxing Wang ◽  
Guanxing Yi ◽  
Yi Zhuang
Keyword(s):  
Field Theory ◽  
Black Hole ◽  
Conformal Field Theory ◽  
General Expression ◽  
Correction Term ◽  
Black Hole Entropy ◽  
Thermal Method ◽  
Btz Black Hole ◽  
Conformal Field ◽  
Loop Gravity

Abstract The logarithm correction of black hole entropy is important in understanding the essence of black hole entropy, providing a more accurate entropy calculation. We reviewed the mainstream method of logarithm correction of black hole entropy, including quantum loop gravity correction, conformal field theory correction, and classical thermal correction. Specifically, the correction of quantum loop gravity presents a stable general expression of logarithm correction, which only depends on the surface area of the black hole and solves the problem of meaningless entropy solution under a large length scale. Besides, the correction of the Cardy formula of conformal field theory is limited for the third term in depends on the mass of the black hole, which will finally lead to the unstable coefficient before the correction term. Finally, the correction deduced by the classical thermal method also gives a general expression of black hole entropy. In contrast, the entropy of BTZ black hole has a different coefficient before the logarithm term comparing to other kinds of the black hole. These results shed light for the research in general logarithm correction of black hole entropy, which is suitable for all kinds of black holes.

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