scholarly journals Thermodynamics, stability and Hawking–Page transition of black holes from non-extensive statistical mechanics in quantum geometry

2019 ◽  
Vol 794 ◽  
pp. 45-49 ◽  
Author(s):  
K. Mejrhit ◽  
S-E. Ennadifi
Keyword(s):  
Black Holes ◽  
Statistical Mechanics ◽  
Quantum Geometry

scholarly journals A semi-classical estimate for the q-parameter and decay time with Tsallis entropy of black holes in quantum geometry

2020 ◽  
Vol 80 (11) ◽  
Author(s):  
K. Mejrhit ◽  
R. Hajji
Keyword(s):  
Black Holes ◽  
Loop Quantum Gravity ◽  
Cosmic Ray ◽  
High Energy ◽  
Quantum Geometry ◽  
De Sitter ◽  
Boltzmann Entropy ◽  
Entropy Formula ◽  
Approximate Relationship ◽  
Classical Estimate

AbstractIn this letter, using the non-extensive entropy of Tsallis, we study some properties of the Schwarzschild black holes (BHs), based on the loop quantum gravity (LQG), some novel characteristics and results of the Schwarzschild BH can be obtained in Mejrhit and Ennadifi (Phys Lett B 794:45–49, 2019). Here we find that these findings are strikingly identical to ones obtained by Hawking and Page in anti-de Sitter space within the original of the Boltzmann entropy formula. By using the semi-classical estimate analysis on the energy at this minimum $$M_{min}$$ M min , an approximate relationship between the q and $$\gamma $$ γ parameters of BHs can be found, ($$q\approx \frac{\sqrt{3}\gamma }{\pi \ln 2}+1$$ q ≈ 3 γ π ln 2 + 1 ), which is remarkable approaching to q-parameters of cosmic ray spectra and quarks coalescing to hadrons in high energy.

Statistical mechanics of two-dimensional dilaton black holes

1994 ◽  
Vol 50 (4) ◽  
pp. 2719-2724 ◽  
Author(s):  
Rong-Gen Cai ◽  
Peter K. N. Yu ◽  
Ru-Keng Su
Keyword(s):  
Black Holes ◽  
Statistical Mechanics ◽  
Two Dimensional ◽  
Dilaton Black Holes

scholarly journals Statistical mechanics of black holes

1992 ◽  
Vol 46 (6) ◽  
pp. 2334-2340 ◽  
Author(s):  
B. Harms ◽  
Y. Leblanc
Keyword(s):  
Black Holes ◽  
Statistical Mechanics
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