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 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 Quantum corrected thermodynamics of nonlinearly charged BTZ black holes in massive gravity’s rainbow

2021 ◽  
pp. 2150158
Author(s):  
M. Dehghani ◽  
B. Pourhassan
Keyword(s):  
Black Hole ◽  
Three Dimensional ◽  
Black Hole Entropy ◽  
Nonlinear Electrodynamics ◽  
Logarithmic Term ◽  
Geometrical Properties ◽  
First Order ◽  
Gravity’S Rainbow ◽  
Gravity's Rainbow ◽  
Logarithmic Corrections

In this paper, we consider three-dimensional massive gravity’s rainbow and obtain black hole solutions in three different cases of Born–Infeld, logarithmic, and exponential theories of nonlinear electrodynamics. We discuss the horizon structure and geometrical properties. Then, we study thermodynamics of these models by considering the first-order quantum correction effects, which appear as a logarithmic term in the black hole entropy. We discuss such effects on the black hole stability and phase transitions. We find that due to the quantum corrections, the second-order phase transition happens in Born–Infeld and logarithmic models. We obtain the modified first law of black hole thermodynamics in the presence of logarithmic corrections.

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