Instability of the noncommutative geometry inspired black hole

被引:19
作者
Brown, Eric [1 ]
Mann, Robert [1 ]
机构
[1] Univ Waterloo, Dept Phys & Astron, Waterloo, ON N2L 3G1, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
Black holes; Quantum gravity; Horizon instability; Noncommutative geometry; RELATIVISTIC GRAVITATIONAL COLLAPSE; NONSPHERICAL PERTURBATIONS; CAUCHY HORIZON; SCALAR;
D O I
10.1016/j.physletb.2010.10.014
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Noncommutative geometries have been proposed as an approach to quantum gravity and have led to the construction of noncommutative black holes, whose interior singularities are purportedly eliminated due to quantum effects. Here we find evidence that these black holes are in fact unstable, with infalling matter near the Cauchy (inner) horizon being subject to an infinite blueshift of the type that has been repeatedly demonstrated for the Reissner-Nordstrom black hole. This instability is present even when an ultraviolet cutoff (induced by anticipated noncommutative geometric effects) to a field propagating in that spacetime is included. We demonstrate this by following an analogous argument made for Reissner-Nordstrom black holes, and conclude that stability is dependent on the surface gravities K- and K+ of the inner and outer horizons respectively. In general if K- > K+, as we show to be the case here, then the stability of the Cauchy horizon becomes highly questionable, contrary to recent claims. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码:440 / 445
页数:6
相关论文
共 14 条
[1]   Black-hole thermodynamics with modified dispersion relations and generalized uncertainty principles [J].
Amelino-Camelia, G ;
Arzano, M ;
Ling, Y ;
Mandanici, G .
CLASSICAL AND QUANTUM GRAVITY, 2006, 23 (07) :2585-2606
[2]  
BATIC D, 2010, ARXIV10011158V1GRQC
[3]   Renormalization group improved black hole spacetimes [J].
Bonanno, A ;
Reuter, M .
PHYSICAL REVIEW D, 2000, 62 (04) :21
[4]  
BROWN E, 2010, ARXIV10064164GRQC
[5]   EVOLUTION OF SCALAR PERTURBATIONS NEAR THE CAUCHY HORIZON OF A CHARGED BLACK-HOLE [J].
GURSEL, Y ;
SANDBERG, VD ;
NOVIKOV, ID ;
STAROBINSKY, AA .
PHYSICAL REVIEW D, 1979, 19 (02) :413-420
[6]  
MADORE J, 2000, LECT NOTES PHYS
[7]   INSTABILITY OF THE CAUCHY HORIZON OF REISSNER-NORDSTROM BLACK-HOLES [J].
MATZNER, RA ;
ZAMORANO, N ;
SANDBERG, VD .
PHYSICAL REVIEW D, 1979, 19 (10) :2821-2826
[8]   Noncommutative geometry inspired Schwarzschild black hole [J].
Nicolini, P ;
Smailagic, A ;
Spallucci, E .
PHYSICS LETTERS B, 2006, 632 (04) :547-551
[9]   NONCOMMUTATIVE BLACK HOLES, THE FINAL APPEAL TO QUANTUM GRAVITY: A REVIEW [J].
Nicolini, Piero .
INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2009, 24 (07) :1229-1308
[10]   INTERNAL STRUCTURE OF BLACK-HOLES [J].
POISSON, E ;
ISRAEL, W .
PHYSICAL REVIEW D, 1990, 41 (06) :1796-1809