Black hole thermodynamics in Sharma-Mittal generalized entropy formalism

被引:33
作者
Ghaffari, S. [1 ]
Ziaie, A. H. [1 ]
Moradpour, H. [1 ]
Asghariyan, F. [1 ]
Feleppa, F. [2 ]
Tavayef, M. [1 ]
机构
[1] RIAAM, POB 55134-441, Maragha, Iran
[2] Univ Trieste, Dept Phys, Via Valerio 2, I-34127 Trieste, Italy
关键词
Gravitation; Black hole; Non-extensive entropy; Thermodynamic properties; NONEXTENSIVE STATISTICS; TSALLIS; STABILITY; GRAVITY;
D O I
10.1007/s10714-019-2578-2
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Using the Sharma-Mittal entropy, we study some properties of the Schwarzschild and Schwarzschild-de Sitter black holes. The results are compared with those obtained by attributing the Bekenstein entropy bound to the mentioned black holes. Our main results show that while the Schwarzschild black hole is always stable in the micro-canonical ensemble, it can be stable in the canonical ensemble if its mass is bigger than the mass of the coldest Schwarzschild black hole. A semi-classical analysis has also been used to find an approximate relation between the entropy free parameters. Throughout the paper, we use units c=G==kB=1, where kB denotes the Boltzmann constant.
引用
收藏
页数:11
相关论文
共 49 条
[1]   General pseudoadditivity of composable entropy prescribed by the existence of equilibrium [J].
Abe, S .
PHYSICAL REVIEW E, 2001, 63 (06) :1-061105
[2]  
ABE S, 2006, CHAOS NONLINEARITY C
[3]   Cosmological considerations in Kaniadakis statistics [J].
Abreu, Everton M. C. ;
Neto, Jorge Ananias ;
Mendes, Albert C. R. ;
Bonilla, Alexander ;
de Paula, Rodrigo M. .
EPL, 2018, 124 (03)
[4]   Considerations on gravity as an entropic force and entangled states [J].
Abreu, Everton M. C. ;
Ananias Neto, Jorge .
PHYSICS LETTERS B, 2013, 727 (4-5) :524-526
[5]   New bounds for Tsallis parameter in a noncommutative phase-space entropic gravity and nonextensive Friedmann equations [J].
Abreu, Everton M. C. ;
Neto, Jorge Ananias ;
Mendes, Albert C. R. ;
Oliveira, Wilson .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2013, 392 (20) :5154-5163
[6]  
[Anonymous], 2004, Nonextensive entropy: interdisciplinary applications, DOI 10.1093/oso/9780195159769.001.0001
[7]  
[Anonymous], 2009, SPRINGER
[8]   Stability and critical phenomena of black holes and black rings [J].
Arcioni, G ;
Lozano-Tellechea, E .
PHYSICAL REVIEW D, 2005, 72 (10)
[9]   Dark energy models through nonextensive Tsallis' statistics [J].
Barboza, Edesio M., Jr. ;
Nunes, Rafael da C. ;
Abreu, Everton M. C. ;
Neto, Jorge Ananias .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2015, 436 :301-310
[10]  
Belin A., ARXIV13062640