Black hole thermodynamics with generalized uncertainty principle

被引：124

作者：

Myung, Yun Soo ^{[1
]}

Kim, Yong-Wan

Park, Young-Jai

机构：

[1] Inje Univ, Inst Math Sci, Gimhae 621749, South Korea

[2] Inje Univ, Sch Comp Aided Sci, Gimhae 621749, South Korea

[3] Pai Chai Univ, Natl Creat Res Initiat Ctr Controlling Opt Chaos, Taejon 302735, South Korea

[4] Sogang Univ, Dept Phys, Seoul 121742, South Korea

[5] Sogang Univ, Ctr Quantum Spacetime, Seoul 121742, South Korea

来源：

PHYSICS LETTERS B | 2007年 / 645卷 / 5-6期

关键词：

black hole; thermodynamics; generalized uncertainty principle;

D O I：

10.1016/j.physletb.2006.12.062

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We apply the generalized uncertainty principle to the thermodynamics of a small black hole. Here we have a black hole system with the UV cutoff. It is shown that the minimal length induced by the GUP interrupts the Gross-Perry-Yaffe phase transition for a small black hole. In order to see whether the black hole remnant takes place a transition to a large black hole, we introduce a black hole in a cavity (IR system). However, we fail to show the phase transition of the remnant to the large black hole. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：393 / 397

页数：5

共 37 条

[1] The generalized uncertainty principle and black hole remnants [J].

Adler, RJ ;

Chen, PS ;

Santiago, DI .

GENERAL RELATIVITY AND GRAVITATION, 2001, 33 (12) :2101-2108

[2] Entropy corrections for Schwarzschild and Reissner-Nordstrom black holes [J].

Akbar, MM ;

Das, S .

CLASSICAL AND QUANTUM GRAVITY, 2004, 21 (06) :1383-1392

[3] CAN SPACETIME BE PROBED BELOW THE STRING SIZE [J].

AMATI, D ;

CIAFALONI, M ;

VENEZIANO, G .

PHYSICS LETTERS B, 1989, 216 (1-2) :41-47

[4]

[Anonymous], NUCL PHYS B

[5]

BROWN D, GRQC9404006

[6] TEMPERATURE, ENERGY, AND HEAT-CAPACITY OF ASYMPTOTICALLY ANTI-DE SITTER BLACK-HOLES [J].

BROWN, JD ;

CREIGHTON, J ;

MANN, RB .

PHYSICAL REVIEW D, 1994, 50 (10) :6394-6403

[7] QUASI-LOCAL ENERGY AND CONSERVED CHARGES DERIVED FROM THE GRAVITATIONAL ACTION [J].

BROWN, JD ;

YORK, JW .

PHYSICAL REVIEW D, 1993, 47 (04) :1407-1419

[8] Causal entropy bound for a spacelike region [J].

Brustein, R ;

Veneziano, G .

PHYSICAL REVIEW LETTERS, 2000, 84 (25) :5695-5698

[9] Effect of the minimal length uncertainty relation on the density of states and the cosmological constant problem [J].

Chang, LN ;

Minic, D ;

Okamura, N ;

Takeuchi, T .

PHYSICAL REVIEW D, 2002, 65 (12)

[10] QUANTUM-GRAVITY AND MINIMUM LENGTH [J].

GARAY, LJ .

INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1995, 10 (02) :145-165

← 1 2 3 4 →