scholarly journals Thermodynamics of a Non-Stationary Black Hole Based on Generalized Uncertainty Principle

2017 ◽  
Vol 1 (2) ◽  
pp. 127
Author(s):  
Mustari Mustari ◽  
Yuant Tiandho
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Uncertainty Principle ◽  
Correction Term ◽  
Apparent Horizon ◽  
Generalized Uncertainty Principle ◽  
Minimum Length ◽  
Theory Of Relativity ◽  
Stationary Black Hole ◽  
Gravitational Fields

In the general theory of relativity (GTR), black holes are defined as objects with very strong gravitational fields even light can not escape. Therefore, according to GTR black hole can be viewed as a non-thermodynamic object. The worldview of a black hole began to change since Hawking involves quantum field theory to study black holes and found that black holes have temperatures that analogous to black body radiation. In the theory of quantum gravity there is a term of the minimum length of an object known as the Planck length that demands a revision of Heisenberg's uncertainty principle into a Generalized Uncertainty Principle (GUP). Based on the relationship between the momentum uncertainty and the characteristic energy of the photons emitted by a black hole, the temperature and entropy of the non-stationary black hole (Vaidya-Bonner black hole) were calculated. The non-stationary black hole was chosen because it more realistic than static black holes to describe radiation phenomena. Because the black hole is dynamic then thermodynamics studies are conducted on both black hole horizons: the apparent horizon and its event horizon. The results showed that the dominant correction term of the temperature and entropy of the Vaidya-Bonner black hole are logarithmic.

Hawking radiation of charged fermions from accelerating and rotating black holes with generalized uncertainty principle

2019 ◽  
Vol 28 (08) ◽  
pp. 1950102
Author(s):  
Muhammad Rizwan ◽  
Khalil Ur Rehman
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Uncertainty Principle ◽  
Hawking Radiation ◽  
Generalized Uncertainty Principle ◽  
Hawking Temperature ◽  
Black Hole Evaporation ◽  
Rotating Black Holes ◽  
Gravity Effects ◽  
Made In

By considering the quantum gravity effects based on generalized uncertainty principle, we give a correction to Hawking radiation of charged fermions from accelerating and rotating black holes. Using Hamilton–Jacobi approach, we calculate the corrected tunneling probability and the Hawking temperature. The quantum corrected Hawking temperature depends on the black hole parameters as well as quantum number of emitted particles. It is also seen that a remnant is formed during the black hole evaporation. In addition, the corrected temperature is independent of an angle [Formula: see text] which contradicts the claim made in the literature.

scholarly journals Bounds on large extra dimensions from the Generalized Uncertainty Principle

2017 ◽  
Vol 32 (15) ◽  
pp. 1750082
Author(s):  
Marco Cavaglià ◽  
Benjamin Harms ◽  
Shaoqi Hou
Keyword(s):  
Black Hole ◽  
Lower Bounds ◽  
Uncertainty Principle ◽  
Extra Dimensions ◽  
Large Extra Dimensions ◽  
Production Cross ◽  
Generalized Uncertainty Principle ◽  
Planck Scale ◽  
Minimum Length ◽  
Minimum Length Scale

The Generalized Uncertainty Principle (GUP) implies the existence of a physical minimum length scale [Formula: see text]. In this scenario, black holes must have a radius larger than [Formula: see text]. They are hotter and evaporate faster than in standard Hawking thermodynamics. We study the effects of the GUP on black hole production and decay at the LHC in models with large extra dimensions. Lower bounds on the fundamental Planck scale and the minimum black hole mass at formation are determined from black hole production cross-section limits by the CMS Collaboration. The existence of a minimum length generally decreases the lower bounds on the fundamental Planck scale obtained in the absence of a minimum length.

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.

Thermodynamic studies of 5D Myers–Perry black holes: General uncertainty principle approach

2019 ◽  
Vol 35 (07) ◽  
pp. 2050029
Author(s):  
Amritendu Haldar ◽  
Ritabrata Biswas
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Phase Transitions ◽  
Thermodynamic Properties ◽  
Specific Heat ◽  
Uncertainty Principle ◽  
Black Hole Solution ◽  
Generalized Uncertainty Principle ◽  
Stability Criteria ◽  
Temperature Growth

In this paper, we consider the five-dimensional Myers–Perry black hole solution to study the thermodynamic properties and compare this with the thermodynamic behaviors of generalized uncertainty principle (GUP)-induced Myers–Perry solution. We study the existence of remnant quantities. Stability criteria are studied by observing the natures of temperature growth and sign changes in specific heat. We try to locate phase transitions. Moreover, we study the corresponding physical range for the GUP parameter and try to justify the value with the data predicted by different observations.

BLACK HOLES, THE GENERALIZED UNCERTAINTY PRINCIPLE AND HIGHER DIMENSIONS

2013 ◽  
Vol 28 (03) ◽  
pp. 1340011 ◽  
Author(s):  
B. J. CARR
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Event Horizon ◽  
Uncertainty Principle ◽  
Black Hole Solution ◽  
Generalized Uncertainty Principle ◽  
Black Hole Mass ◽  
Compton Wavelength ◽  
Planck Mass ◽  
Spatial Dimensions

We propose a new way in which black holes connect macrophysics and microphysics. The Generalized Uncertainty Principle suggests corrections to the Uncertainty Principle as the energy increases towards the Planck value. It also provides a natural transition between the expressions for the Compton wavelength below the Planck mass and the black hole event horizon size above it. This suggests corrections to the event horizon size as the black hole mass falls towards the Planck value, leading to the concept of a Generalized Event Horizon. Extrapolating this expression below the Planck mass suggests the existence of a new kind of black hole, whose size is of order its Compton wavelength. Recently it has been found that such a black hole solution is permitted by loop quantum gravity, its unusual properties deriving from the fact that it is hidden behind the throat of a wormhole. This has important implications for the formation and evaporation of black holes in the early Universe, especially if there are extra spatial dimensions.

scholarly journals Minimal length and the flow of entropy from black holes

2018 ◽  
Vol 27 (14) ◽  
pp. 1847028 ◽  
Author(s):  
Ana Alonso-Serrano ◽  
Mariusz P. Da̧browski ◽  
Hussain Gohar
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Quantum Gravity ◽  
Uncertainty Principle ◽  
Hawking Radiation ◽  
Generalized Uncertainty Principle ◽  
Minimal Length ◽  
Evaporation Process ◽  
Black Hole Evaporation ◽  
The Impact

The existence of a minimal length, predicted by different theories of quantum gravity, can be phenomenologically described in terms of a generalized uncertainty principle. We consider the impact of this quantum gravity motivated effect onto the information budget of a black hole and the sparsity of Hawking radiation during the black hole evaporation process. We show that the information is not transmitted at the same rate during the final stages of the evaporation, and that the Hawking radiation is not sparse anymore when the black hole approaches the Planck mass.

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 Effects of Minimal Length, Maximal Momentum, and Minimal Momentum in Entropic Force

2016 ◽  
Vol 2016 ◽  
pp. 1-9 ◽  
Author(s):  
Zhong-Wen Feng ◽  
Shu-Zheng Yang ◽  
Hui-Ling Li ◽  
Xiao-Tao Zu
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Friedmann Equation ◽  
Minimal Length ◽  
Quantum Corrections ◽  
Entropic Force ◽  
Planck Length ◽  
Maximal Momentum

The modified entropic force law is studied by using a new kind of generalized uncertainty principle which contains a minimal length, a minimal momentum, and a maximal momentum. Firstly, the quantum corrections to the thermodynamics of a black hole are investigated. Then, according to Verlinde’s theory, the generalized uncertainty principle (GUP) corrected entropic force is obtained. The result shows that the GUP corrected entropic force is related not only to the properties of the black holes but also to the Planck length and the dimensionless constantsα0andβ0. Moreover, based on the GUP corrected entropic force, we also derive the modified Einstein’s field equation (EFE) and the modified Friedmann equation.

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 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.

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