Thermodynamic effects of Bardeen black hole surrounded by perfect fluid dark matter under general uncertainty principle

2021 ◽  
Author(s):  
Zhenxiong Nie ◽  
Yun Liu ◽  
Juhua Chen ◽  
Yongjiu Wang
Keyword(s):  
Black Hole ◽  
Dark Matter ◽  
Perfect Fluid ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Thermodynamic Quantities ◽  
Logarithmic Term ◽  
Corrected Entropy ◽  
Thermodynamic Effects ◽  
Thermodynamic Variables

Abstract In this paper, the thermodynamics of Bardeen black hole surrounded by perfect fluid dark matter is investigated. We calculate the analytical expresses of corresponding thermodynamic variables, e.g. the Hawking temperature, entropy of the black hole. In addition, we derive the heat capacity to analyze the thermal stability of the black hole. We also compute the rate of emission in terms of photons through tunneling. By numerical method, an obvious phase transition behavior is found. Furthermore, according to the general uncertainty principle, we study the quantum corrections to these thermodynamic quantities and obtain the quantum-corrected entropy containing the logarithmic term. At last, we investigate the effects of the magnetic charge g, the dark matter parameter k and the generalized uncertainty principle parameter α on the thermodynamics of Bardeen black hole surrounded by perfect fluid dark matter under general uncertainty principle.

scholarly journals Thermodynamic studies of different type of black holes: General uncertainty principle approach

2018 ◽  
Vol 33 (34) ◽  
pp. 1850200 ◽  
Author(s):  
Amritendu Haldar ◽  
Ritabrata Biswas
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Joint Effect ◽  
Logarithmic Term ◽  
Asymptotically Flat ◽  
Corrected Entropy ◽  
Thermodynamic Variables ◽  
Thermal Stability Of

We present an investigation on thermodynamics of two different types of black holes viz. Kiselev black hole (asymptotically flat) and Taub–NUT (non-asymptotically flat) black hole. We compute the thermodynamic variables like black hole’s Hawking temperature and entropy at the black hole’s event horizon. Further, we derive the heat capacity and examine it to study the thermal stability of the black holes. We also calculate the rate of emission, assuming the black holes radiate energy in terms of photons by tunneling. We graphically represent all the parameters including the rate of emission of the black holes and interpret them physically. We depict a comparative study of thermodynamics between the aforesaid types of black holes. We find the existence of a transition of phase. Finally, we obtain the quantum corrected thermodynamics on the basis of general uncertainty principle and it is seen from the quantum-corrected entropy that it contains the logarithmic term. We offer comparative studies on joint effect of generalized uncertainty principle parameter [Formula: see text] along with the concerned black holes’ parameters on the thermodynamics.

scholarly journals GUP-corrected thermodynamics for all black objects and the existence of remnants

2015 ◽  
Vol 30 (22) ◽  
pp. 1550144 ◽  
Author(s):  
Mir Faizal ◽  
Mohammed M. Khalil
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Correction Term ◽  
Generalized Uncertainty Principle ◽  
Logarithmic Correction ◽  
Logarithmic Term ◽  
Black Rings ◽  
Corrected Entropy ◽  
Ads Black Holes ◽  
Full Form

Based on the universality of the entropy-area relation of a black hole, and the fact that the generalized uncertainty principle (GUP) adds a logarithmic correction term to the entropy in accordance with most approaches to quantum gravity, we argue that the GUP-corrected entropy-area relation is universal for all black objects. This correction to the entropy produces corrections to the thermodynamics. We explicitly calculate these corrections for three types of black holes: Reissner–Nordström, Kerr and charged AdS black holes, in addition to spinning black rings. In all cases, we find that they produce a remnant. Even though the GUP-corrected entropy-area relation produces the logarithmic term in the series expansion, we need to use the full form of the GUP-corrected entropy-area relation to get remnants for these black holes.

scholarly journals Maximally Localized States and Quantum Corrections of Black Hole Thermodynamics in the Framework of a New Generalized Uncertainty Principle

2015 ◽  
Vol 2015 ◽  
pp. 1-15 ◽  
Author(s):  
Yan-Gang Miao ◽  
Ying-Jie Zhao ◽  
Shao-Jun Zhang
Keyword(s):  
Black Hole ◽  
Uncertainty Principle ◽  
Decay Time ◽  
Generalized Uncertainty Principle ◽  
Minimal Length ◽  
Localized States ◽  
Quantum Corrections ◽  
Thermodynamic Quantities ◽  
Mixing Effect ◽  
Significant Difference

As a generalized uncertainty principle (GUP) leads to the effects of the minimal length of the order of the Planck scale and UV/IR mixing, some significant physical concepts and quantities are modified or corrected correspondingly. On the one hand, we derive the maximally localized states—the physical states displaying the minimal length uncertainty associated with a new GUP proposed in our previous work. On the other hand, in the framework of this new GUP we calculate quantum corrections to the thermodynamic quantities of the Schwardzschild black hole, such as the Hawking temperature, the entropy, and the heat capacity, and give a remnant mass of the black hole at the end of the evaporation process. Moreover, we compare our results with that obtained in the frameworks of several other GUPs. In particular, we observe a significant difference between the situations with and without the consideration of the UV/IR mixing effect in the quantum corrections to the evaporation rate and the decay time. That is, the decay time can greatly be prolonged in the former case, which implies that the quantum correction from the UV/IR mixing effect may give rise to a radical rather than a tiny influence to the Hawking radiation.

scholarly journals Thermodynamics of the Schwarzschild and Reissner–Nordström black holes under the Snyder–de Sitter model

2019 ◽  
Vol 79 (11) ◽  
Author(s):  
H. Hassanabadi ◽  
E. Maghsoodi ◽  
Won Sang Chung ◽  
M. de Montigny
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
De Sitter ◽  
Schwarzschild Black Hole ◽  
Temperature Relation ◽  
Corrected Entropy ◽  
Sitter Model ◽  
De Sitter Model

AbstractThis paper examines the effects of a new form of the extended generalized uncertainty principle in the Snyder–de Sitter model on the thermodynamics of the Schwarzschild and Reissner–Nordström black holes. Firstly, we present a generalization of the minimal length uncertainty relation with two deformation parameters. Then we obtain the corrected mass–temperature relation, entropy and heat capacity for Schwarzschild black hole. Also we investigate the effect of the corrected uncertainty principle on the thermodynamics of the charged black holes. Our discussion of the corrected entropy involves a heuristic analysis of a particle which is absorbed by the black hole. Finally, we compare the thermodynamics of a charged black hole with the thermodynamics of a Schwarzschild black hole and with the usual forms, that is, without corrections to the uncertainty principle.

scholarly journals The thermodynamics and phase transition of a rainbow black hole

2019 ◽  
Vol 35 (05) ◽  
pp. 2050010
Author(s):  
Zhong-Wen Feng ◽  
De-Ling Tang ◽  
Dan-Dan Feng ◽  
Shu-Zheng Yang
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Phase Transitions ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Thermodynamic System ◽  
Thermodynamic Quantities ◽  
Schwarzschild Black Hole ◽  
First Order Phase Transition ◽  
First Order Phase

In this work, we construct a new kind of rainbow functions, which has generalized uncertainty principle parameter. Then, we investigate modified thermodynamic quantities and phase transition of rainbow Schwarzschild black hole by employing this new kind of rainbow functions. Our results demonstrate that the rainbow gravity and generalized uncertainty principle have a great effect on the picture of Hawking radiation. They prevent black holes from total evaporation and cause a remnant. In addition, after analyzing the modified local thermodynamic quantities, we find that the effect of rainbow gravity and the generalized uncertainty principle lead to one first-order phase transition, two second-order phase transitions and two Hawking–Page-type phase transitions in the thermodynamic system of rainbow Schwarzschild black hole.

scholarly journals PLANCK-SIZE BLACK HOLE REMNANTS AS DARK MATTER

2004 ◽  
Vol 19 (13n16) ◽  
pp. 1047-1054 ◽  
Author(s):  
PISIN CHEN
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Dark Matter ◽  
Early Universe ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Inflation Model ◽  
Interesting Candidate ◽  
Hybrid Inflation ◽  
Black Hole Remnant

While there exist various candidates, the nature of dark matter remains unresolved. Recently it was argued that the generalized uncertainty principle (GUP) may prevent a black hole from evaporating completely, and as a result there should exist a Planck-size black hole remnant (BHR) at the end of its evaporation. If a sufficient amount of small black holes can be produced in the early universe, then the resultant BHRs can be an interesting candidate for DM. We demonstrate that this is indeed the case for the hybrid inflation model. By assuming BHR as DM, our notion imposes a constraint on the hybrid inflation potential. We show that such a constraint is not so fine-tuned. Possible observational signatures are briefly discussed.

GENERALIZED UNCERTAINTY PRINCIPLE AND THERMODYNAMIC QUANTITIES OF THE ACHUCARRO–ORTIZ BLACK HOLE

2008 ◽  
Vol 23 (11) ◽  
pp. 839-846 ◽  
Author(s):  
REN ZHAO ◽  
YUE-QIN WU ◽  
LI-CHUN ZHANG
Keyword(s):  
Black Hole ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Quantum Corrections ◽  
Thermodynamic Quantities ◽  
Verlinde Formula

Recently, there has been much attention devoted to resolving the quantum corrections to the Bekenstein–Hawking entropy of a black hole. In this paper, we calculate the correction value of thermodynamic quantities of the Achucarro–Oritz black hole motivated by utilizing the generalized uncertainty principle. We obtain the Cardy–Verlinde formula after considering the correction.

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