Quantum gravity effects on scalar particle tunneling from rotating BTZ black hole

2018 ◽  
Vol 33 (12) ◽  
pp. 1850070 ◽  
Author(s):  
I. Ablu Meitei ◽  
T. Ibungochouba Singh ◽  
S. Gayatri Devi ◽  
N. Premeshwari Devi ◽  
K. Yugindro Singh
Keyword(s):  
Black Hole ◽  
Quantum Gravity ◽  
Generalized Uncertainty Principle ◽  
Scalar Particle ◽  
Mass Energy ◽  
Btz Black Hole ◽  
Logarithmic Term ◽  
Scalar Particles ◽  
Gravity Effects ◽  
Correction Terms

Tunneling of scalar particles across the event horizon of rotating BTZ black hole is investigated using the Generalized Uncertainty Principle to study the corrected Hawking temperature and entropy in the presence of quantum gravity effects. We have determined explicitly the various correction terms in the entropy of rotating BTZ black hole including the logarithmic term of the Bekenstein–Hawking entropy [Formula: see text], the inverse term of [Formula: see text] and terms with inverse powers of [Formula: see text], in terms of properties of the black hole and the emitted particles — mass, energy and angular momentum. In the presence of quantum gravity effects, for the emission of scalar particles, the Hawking radiation and thermodynamics of rotating BTZ black hole are observed to be related to the metric element, hence to the curvature of space–time.

scholarly journals Scalar Particles Tunneling Radiation in the Demianski-Newman Spacetime with Influences of Quantum Gravity

2020 ◽  
Vol 2020 ◽  
pp. 1-5
Author(s):  
Zhonghua Li
Keyword(s):  
Black Hole ◽  
Quantum Gravity ◽  
Effective Temperature ◽  
Scalar Particle ◽  
Tunneling Radiation ◽  
Scalar Particles ◽  
Newman Black Hole

In this paper, using Hamilton-Jacobi ansatz, we investigate scalar particle tunneling radiation in the Demianski-Newman spacetime. We get the effective temperature with influences of quantum gravity and compare this temperature with the original temperature of the Demianski-Newman black hole. We find that it is similar to the case of fermions; for scalar particles, the influence of quantum gravity will also slow down the increase of Hawking temperatures, which naturally leads to remnants left in the evaporation.

GUP-corrected thermodynamics of accelerating and rotating black holes

2017 ◽  
Vol 26 (05) ◽  
pp. 1741018 ◽  
Author(s):  
Muhammad Rizwan ◽  
K. Saifullah
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Quantum Gravity ◽  
Black Hole Physics ◽  
Generalized Uncertainty Principle ◽  
Hawking Temperature ◽  
Rotating Black Holes ◽  
Gravity Effects ◽  
Klein Gordon ◽  
Black Hole Remnant

When quantum gravity effects, that are based on generalized uncertainty principle with a minimal measurable length, are incorporated into black hole physics the Klein–Gordon and Dirac equations get modified. Using these modified equations we investigate tunneling of scalar particles and fermions from event and acceleration horizons of accelerating and rotating black holes and obtain the modified Hawking temperature with quantum gravity effects. We see that Hawking temperature depends on black hole parameters as well as the quantum numbers of emitted fermions. The quantum corrections slow down black hole evaporation and leave a black hole remnant. This contradicts complete evaporation of a black hole which is presaged by the standard temperature formula for black holes. The modified Hawking temperatures presented here, in appropriate limits, are consistent with the previous results in the literature.

scholarly journals Effects of quantum gravity on black holes

2014 ◽  
Vol 29 (26) ◽  
pp. 1430054 ◽  
Author(s):  
Deyou Chen ◽  
Houwen Wu ◽  
Haitang Yang ◽  
Shuzheng Yang
Keyword(s):  
Black Hole ◽  
Quantum Gravity ◽  
Black Hole Physics ◽  
Tunneling Radiation ◽  
Scalar Particles ◽  
Quantum Numbers ◽  
Tunneling Method ◽  
Modified Equations ◽  
Gravity Effects ◽  
Klein Gordon

In this review, we discuss the effects of quantum gravity on black hole physics. After a brief review of the origin of the minimal observable length from various quantum gravity theories, we present the tunneling method. To incorporate quantum gravity effects, we modify the Klein–Gordon equation and Dirac equation by the modified fundamental commutation relations. Then we use the modified equations to discuss the tunneling radiation of scalar particles and fermions. The corrected Hawking temperatures are related to the quantum numbers of the emitted particles. Quantum gravity corrections slow down the increase of the temperatures. The remnants are observed as [Formula: see text]. The mass is quantized by the modified Wheeler–DeWitt equation and is proportional to n in quantum gravity regime. The thermodynamical property of the black hole is studied by the influence of quantum gravity effects.

Quantum gravity corrections to tunneling of spin-1/2 fermions from Kerr–Newman Black Hole

2021 ◽  
pp. 2150123
Author(s):  
Aheibam Keshwarjit Singh ◽  
Irom Ablu Meitei ◽  
Telem Ibungochouba Singh ◽  
Kangujam Yugindro Singh
Keyword(s):  
Black Hole ◽  
Electromagnetic Field ◽  
Dirac Equation ◽  
Quantum Gravity ◽  
Uncertainty Principle ◽  
Generalized Uncertainty Principle ◽  
Hawking Temperature ◽  
Curved Space ◽  
Gravity Effects ◽  
Newman Black Hole

In this paper, we solve the Dirac Equation in curved space–time, modified by the generalized uncertainty principle, in the presence of an electromagnetic field. Using this, we study the tunneling of [Formula: see text]-spin fermions from Kerr–Newman black hole. Corrections to the Hawking temperature and entropy of the black hole due to quantum gravity effects are also discussed.

GUP effect on thermodynamical properties of the noncommutative rotating BTZ black hole

2020 ◽  
Vol 35 (25) ◽  
pp. 2050208
Author(s):  
Ganim Gecim
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Quantum Gravity ◽  
Vector Boson ◽  
Scalar Particle ◽  
Hawking Temperature ◽  
Stability Conditions ◽  
Btz Black Hole ◽  
Tunneling Process ◽  
Quantum Gravity Effect

In this paper, we investigated the quantum gravity effects on the thermal properties of the [Formula: see text]-dimensional noncommutative rotating Banados–Teitelboim–Zanelli (NCR-BTZ) black hole in the context of quantum tunneling of relativistic particles. These include Hawking temperature, the thermally local and global stability conditions, and the phase transitions. For this purpose, in the framework of the generalized uncertainty principle (GUP), we used the Hamilton–Jacobi approach to calculate the tunneling probability for a massive scalar, Dirac, and vector boson particles from the [Formula: see text]-dimensional NCR-BTZ black hole. We found that the modified Hawking temperature of the black hole depends on the black hole properties, on the tunneling particle properties, on the noncommutative parameter, and on the GUP parameter. Using the modified Hawking temperature, we calculated the modified heat capacity, and then we discussed the local thermodynamic stability conditions for the black hole. The black hole may undergo a first-type phase transition to become stable under the scalar particle tunneling whereas, it might undergoes both the first and the second-type phase transitions under the both Dirac and vector boson particles tunneling process. Furthermore, we calculated the Gibbs free energy of the black hole, and we investigated the global stability conditions. We observed that Hawking–Page phase transition may occur in the presence of the quantum gravity effect under the tunneling process of scalar, Dirac, and vector boson particles. In the context of quantum gravity effect, we also derived the modified equation of state to investigate the critical behavior of the commutative rotating BTZ black hole. Finally, we shown that Van der Waals-like phase transition may occur in the context of tunneling process of both Dirac and vector boson particle, whereas it may not occur for the tunneling of scalar particle.

Modified tunneling radiation of the scalar particles and Dirac particles from a five-dimensional black hole

2016 ◽  
Vol 31 (07) ◽  
pp. 1650022 ◽  
Author(s):  
Zhongwen Feng ◽  
Xiaodan Zhu ◽  
Guoping Li ◽  
Weijing Fang ◽  
Xiaotao Zu
Keyword(s):  
Black Hole ◽  
Generalized Uncertainty Principle ◽  
Tunneling Radiation ◽  
Black Hole Evaporation ◽  
Correction Formula ◽  
Scalar Particles ◽  
Dirac Particles ◽  
Tunneling Mechanism ◽  
Gravity Effects ◽  
Dimensional Black Hole

Incorporating the generalized uncertainty principle (GUP) into the tunneling mechanism, we have studied the tunneling radiation of the scalar particles and fermions from the five-dimensional Schwarzschild–Tangherlini black hole. The results showed that the GUP corrected temperatures do not only depend on the mass of ST black hole, but are also affected by the gravity effects correction [Formula: see text]. Besides, the [Formula: see text] slows down the Hawking temperature increasing and causes the existence of remnants in black hole evaporation.

scholarly journals MicroBlack Holes Thermodynamics in the Presence of Quantum Gravity Effects

2014 ◽  
Vol 2014 ◽  
pp. 1-12 ◽  
Author(s):  
H. Soltani ◽  
A. Damavandi Kamali ◽  
K. Nozari
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Quantum Gravity ◽  
Large Extra Dimensions ◽  
Generalized Uncertainty Principle ◽  
Minimal Length ◽  
Hadronic Collider ◽  
Gravity Effects ◽  
Maximal Momentum ◽  
Large Hadronic Collider

Black hole thermodynamics is corrected in the presence of quantum gravity effects. Some phenomenological aspects of quantum gravity proposal can be addressed through generalized uncertainty principle (GUP) which provides a perturbation framework to perform required modifications of the black hole quantities. In this paper, we consider the effects of both a minimal measurable length and a maximal momentum on the thermodynamics of TeV-scale black holes. We then extend our study to the case that there are all natural cutoffs as minimal length, minimal momentum, and maximal momentum simultaneously. We also generalize our study to the model universes with large extra dimensions (LED). In this framework existence of black holes remnants as a possible candidate for dark matter is discussed. We study probability of black hole production in the Large Hadronic Collider (LHC) and we show this rate decreasing for sufficiently large values of the GUP parameter.

scholarly journals Effect of GUP on Hawking radiation of BTZ black hole

2020 ◽  
Vol 35 (05) ◽  
pp. 2050018
Author(s):  
T. Ibungochouba Singh ◽  
Y. Kenedy Meitei ◽  
I. Ablu Meitei
Keyword(s):  
Black Hole ◽  
Dirac Equation ◽  
Quantum Gravity ◽  
Hawking Radiation ◽  
Mass Parameter ◽  
Generalized Uncertainty Principle ◽  
Massless Particle ◽  
Hawking Temperature ◽  
Jacobi Method ◽  
Btz Black Hole

The Hawking radiation of BTZ black hole is investigated based on generalized uncertainty principle effect by using Hamilton–Jacobi method and Dirac equation. The tunneling probability and the Hawking temperature of the spin-1/2 particles of the BTZ black hole are investigated using the modified Dirac equation based on the GUP. The modified Hawking temperature for fermion crossing the black hole horizon includes the mass parameter of the black hole, angular momentum, energy and also outgoing mass of the emitted particle. Besides, considering the effect of GUP into account, the modified Hawking radiation of massless particle from a BTZ black hole is investigated using Damour and Ruffini method, tortoise coordinate transformation and modified Klein–Gordon equation. The relation between the modified Hawking temperature obtained by using Damour–Ruffini method and the energy of the emitted particle is derived. The original Hawking temperature is also recovered in the absence of quantum gravity effect. There is a possibility of negative Hawking temperature for emission of Dirac particles under quantum gravity effects.

scholarly journals Remarks on Remnants by Fermions’ Tunnelling from Black Strings

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Deyou Chen ◽  
Zhonghua Li
Keyword(s):  
Black Hole ◽  
Quantum Gravity ◽  
Uncertainty Principle ◽  
Final Stage ◽  
Generalized Uncertainty Principle ◽  
Black Hole Evaporation ◽  
Quantum Numbers ◽  
Black Strings

Hawking’s calculation is unable to predict the final stage of the black hole evaporation. When effects of quantum gravity are taken into account, there is a minimal observable length. In this paper, we investigate fermions’ tunnelling from the charged and rotating black strings. With the influence of the generalized uncertainty principle, the Hawking temperatures are not only determined by the rings, but also affected by the quantum numbers of the emitted fermions. Quantum gravity corrections slow down the increases of the temperatures, which naturally leads to remnants left in the evaporation.

scholarly journals Quantum Gravity Phenomenology from the Thermodynamics of Spacetime

Universe ◽  
2022 ◽  
Vol 8 (1) ◽  
pp. 50
Author(s):  
Ana Alonso-Serrano ◽  
Marek Liška
Keyword(s):  
Quantum Gravity ◽  
Big Bang ◽  
Einstein Equations ◽  
Logarithmic Term ◽  
Quantum Gravity Phenomenology ◽  
Gravity Effects ◽  
Energy Quantum ◽  
The Big Bang ◽  
Big Bang Singularity ◽  
Modified Dynamics

This work is based on the formalism developed in the study of the thermodynamics of spacetime used to derive Einstein equations from the proportionality of entropy within an area. When low-energy quantum gravity effects are considered, an extra logarithmic term in the area is added to the entropy expression. Here, we present the derivation of the quantum modified gravitational dynamics from this modified entropy expression and discuss its main features. Furthermore, we outline the application of the modified dynamics to cosmology, suggesting the replacement of the Big Bang singularity with a regular bounce.

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