Lifespan of rotating black hole in the frame of generalized uncertainty principle

2016 ◽  
Vol 31 (03) ◽  
pp. 1650008
Author(s):  
Tangmei He ◽  
Jingyi Zhang ◽  
Jinbo Yang ◽  
Hongwei Tan
Keyword(s):  
Black Hole ◽  
Energy Flux ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Radiation Energy ◽  
Minimum Mass ◽  
Dominant Term ◽  
Radiation Energy Flux ◽  
Rotating Black Hole ◽  
Flat Spacetime

In this paper, the lifespan under the generalized uncertainty principle (GUP) of rotating black hole is derived through the corrected radiation energy flux and the first law of the thermodynamics of black hole. The radiation energy flux indicates that there exist the highest temperature and the minimum mass both of which are relevant to the initial mass of the black hole in the final stage of the radiation. The lifespan of rotating black hole includes three terms: the dominant term is just the lifespan in the flat spacetime; the other two terms are individually induced by the rotation and the GUP.

scholarly journals Horizon Wavefunction of Generalized Uncertainty Principle Black Holes

2016 ◽  
Vol 2016 ◽  
pp. 1-8
Author(s):  
Luciano Manfredi ◽  
Jonas Mureika
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Uncertainty Principle ◽  
Free Parameter ◽  
Generalized Uncertainty Principle ◽  
Minimum Mass ◽  
Black Hole Mass ◽  
General Shape ◽  
Quantum Black Hole ◽  
Horizon Radius

We study the Horizon Wavefunction (HWF) description of a Generalized Uncertainty Principle inspired metric that admits sub-Planckian black holes, where the black hole mass m is replaced by M=m1+β/2MPl2/m2. Considering the case of a wave-packet shaped by a Gaussian distribution, we compute the HWF and the probability PBH that the source is a (quantum) black hole, that is, that it lies within its horizon radius. The case β<0 is qualitatively similar to the standard Schwarzschild case, and the general shape of PBH is maintained when decreasing the free parameter but shifted to reduce the probability for the particle to be a black hole accordingly. The probability grows with increasing mass slowly for more negative β and drops to 0 for a minimum mass value. The scenario differs significantly for increasing β>0, where a minimum in PBH is encountered, thus meaning that every particle has some probability of decaying to a black hole. Furthermore, for sufficiently large β we find that every particle is a quantum black hole, in agreement with the intuitive effect of increasing β, which creates larger M and RH terms. This is likely due to a “dimensional reduction” feature of the model, where the black hole characteristics for sub-Planckian black holes mimic those in (1+1) dimensions and the horizon size grows as RH~M-1.

scholarly journals A GLIMPSE AT THE FLAT-SPACETIME LIMIT OF QUANTUM GRAVITY USING THE BEKENSTEIN ARGUMENT IN REVERSE

2004 ◽  
Vol 13 (10) ◽  
pp. 2337-2343 ◽  
Author(s):  
GIOVANNI AMELINO-CAMELIA ◽  
ANDREA PROCACCINI ◽  
MICHELE ARZANO
Keyword(s):  
Black Hole ◽  
Dispersion Relation ◽  
String Theory ◽  
Quantum Gravity ◽  
Uncertainty Principle ◽  
Loop Quantum Gravity ◽  
Generalized Uncertainty Principle ◽  
Black Hole Entropy ◽  
Flat Spacetime ◽  
Classical Black Holes

An insightful argument for a linear relation between the entropy and the area of a black hole was given by Bekenstein using only the energy–momentum dispersion relation, the uncertainty principle, and some properties of classical black holes. Recent analyses within String Theory and Loop Quantum Gravity describe black-hole entropy in terms of a dominant contribution, which indeed depends linearly on the area, and a leading log-area correction. We argue that, by reversing the Bekenstein argument, the log-area correction can provide insight on the energy–momentum dispersion relation and the uncertainty principle of a quantum-gravity theory. As examples, we consider the energy–momentum dispersion relations that recently emerged in the Loop Quantum Gravity literature and the Generalized Uncertainty Principle that is expected to hold in String Theory.

Radiation Energy Flux and Radiation Power of Schwarzschild Black Hole

2010 ◽  
Vol 49 (8) ◽  
pp. 1739-1745 ◽  
Author(s):  
Qing-Miao Meng ◽  
Ji-Jian Jiang ◽  
Jing-Lun Liu ◽  
Zhong-Rang Li
Keyword(s):  
Black Hole ◽  
Energy Flux ◽  
Radiation Power ◽  
Radiation Energy ◽  
Schwarzschild Black Hole ◽  
Radiation Energy Flux
Sign in / Sign up

Export Citation Format

Share Document