scholarly journals Logarithmic corrections to the black-hole entropy product of ${\cal H}^{\pm}$ via Cardy formula

2016 ◽  
Vol 116 (5) ◽  
pp. 50002 ◽  
Author(s):  
Parthapratim Pradhan
Keyword(s):  
Black Hole ◽  
Black Hole Entropy ◽  
Logarithmic Corrections ◽  
Entropy Product ◽  
Cardy Formula

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 to the FRW Brane Cosmology from 5d Schwarzschild–de Sitter Black Hole

2003 ◽  
Vol 18 (19) ◽  
pp. 3395-3416 ◽  
Author(s):  
Shin'ichi Nojiri ◽  
Sergei D. Odintsov ◽  
Sachiko Ogushi
Keyword(s):  
Black Hole ◽  
Black Hole Entropy ◽  
Slight Modification ◽  
Thermal Fluctuations ◽  
De Sitter ◽  
Brane Cosmology ◽  
Verlinde Formula ◽  
Logarithmic Corrections ◽  
Constant Change ◽  
Sds Black Hole

Thermodynamics of 5d SdS black hole is considered. Thermal fluctuations define the (sub-dominant) logarithmic corrections to black hole entropy and then to Cardy–Verlinde formula and to FRW brane cosmology. We demonstrate that logarithmic terms (which play the role of effective cosmological constant) change the behavior of 4d spherical brane in dS, SdS or Nariai bulk. In particularly, bounce Universe occurs or 4d dS brane expands to its maximum and then shrinks. The entropy bounds are also modified by next-to-leading terms. Out of braneworld context the logarithmic terms may suggest slight modification of standard FRW cosmology.

scholarly journals Logarithmic corrections to black hole entropy: the non-BPS branch

2018 ◽  
Vol 2018 (5) ◽  
Author(s):  
Alejandra Castro ◽  
Victor Godet ◽  
Finn Larsen ◽  
Yangwenxiao Zeng
Keyword(s):  
Black Hole ◽  
Black Hole Entropy ◽  
Logarithmic Corrections

scholarly journals A note on entropy relations of black hole horizons

2014 ◽  
Vol 29 (18) ◽  
pp. 1450088 ◽  
Author(s):  
Xin-He Meng ◽  
Wei Xu ◽  
Jia Wang
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Black Hole Entropy ◽  
Higher Dimensions ◽  
Microscopic Level ◽  
Entropy Product ◽  
Product Part

Black holes with multi-horizons may provide new ways to understand the intrinsic thermodynamics. In this work, we focus on the entropy relations of black holes in three, four and higher dimensions. These entropy relations include entropy product, "part" entropy product and entropy sum. We also discuss their differences and similarities, in order to make a further study on understanding the origin of black hole entropy at the microscopic level.

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