Particle tunneling in a quantum corrected spacetime

2015 ◽  
Vol 30 (02) ◽  
pp. 1550007
Author(s):  
Cheng-Zhou Liu ◽  
Qiao-Jun Cao
Keyword(s):  
Black Hole ◽  
Emission Spectrum ◽  
Tunneling Probability ◽  
Quantum Corrections ◽  
Emission Rates ◽  
Unitary Theory ◽  
Before And After ◽  
Trajectory Method ◽  
Trajectory Equation ◽  
Simpler Method

Particle tunneling from a quantum corrected black hole in the gravity's rainbow was investigated by the radial trajectory method of the tunneling framework. Using the thermodynamic property of the event horizon, a simpler method for calculating the tunneling probability was shown. In this method, the Painleve coordinate transformation of spacetime and the radial trajectory equation of the tunneling particles used in the previous radial trajectory method was not used. Using the simpler method, the tunneling probability of outgoing particles, regardless of whether they are massless or massive, were calculated in a unified way. The emission rates were related to the changes of the black hole entropies before and after the emission. This implies that the emission spectrum agrees with the underling unitary theory. In addition, the Bekenstein–Hawking area for the modified black hole was established and the emission spectrum with quantum corrections was discussed.

scholarly journals Hawking radiation via tunneling from Born–Infeld AdS black hole

2016 ◽  
Vol 94 (12) ◽  
pp. 1369-1371 ◽  
Author(s):  
Gu-Qiang Li
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Emission Spectrum ◽  
Hawking Radiation ◽  
Emission Rate ◽  
De Sitter ◽  
Tunneling Radiation ◽  
Unitary Theory ◽  
Thermal Spectrum

The tunneling radiation of particles from Born–Infeld anti-de Sitter black holes is studied by using the Parikh–Wilczek method and the emission rate of a particle is calculated. It is shown that the emission rate is related to the change of the Bekenstein–Hawking entropy of the black hole and the emission spectrum deviates from the purely thermal spectrum but is consistent with an underlying unitary theory.

scholarly journals Tunnelling radiation of charged particles from a Hořava–Lifshitz gravity black hole

2019 ◽  
Vol 59 (1) ◽  
Author(s):  
Gu-Qiang Li ◽  
Yan-Yi Ou ◽  
Ze-Tao Lin
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Emission Spectrum ◽  
Hawking Radiation ◽  
Emission Rate ◽  
Charged Particles ◽  
Logarithmic Term ◽  
Unitary Theory ◽  
Horizon Area ◽  
First Law Of Thermodynamics

The Hawking radiation of charged particles from black holes in the Hořava–Lifshitz (HL) gravity is investigated by using the Parikh–Wilczek (PW) method, and the emission rate is calculated. The emission spectrum is not purely thermal and is consistent with an underlying unitary theory. Some other characteristics exist for a HL gravity black hole. Assuming the conventional tunnelling rate associated with the change of entropy, the entropy of the HL gravity black hole is obtained. The entropy is not proportional to the horizon area because a logarithmic term exists. However, it complies with the first law of thermodynamics and is in accord with earlier results.

CHARGED PARTICLE TUNNELS FROM THE EINSTEIN–MAXWELL–DILATON–AXION BLACK HOLE

2007 ◽  
Vol 16 (08) ◽  
pp. 1285-1294 ◽  
Author(s):  
DEYOU CHEN ◽  
SHUZHENG YANG
Keyword(s):  
Black Hole ◽  
Charged Particle ◽  
Radiation Spectrum ◽  
Tunneling Probability ◽  
The Self ◽  
Jacobi Method ◽  
Unitary Theory ◽  
Background Space ◽  
Radial Geodesic ◽  
Actual Radiation

Considering the self-gravitation interaction and the unfixed background space–time, we study the Hawking radiation of the Einstein–Maxwell–Dilaton–Axion (EMDA) black hole by the radial geodesic method and the Hamilton–Jacobi method. Both sets of results agree with Parikh and Wilczek's and show that the actual radiation spectrum deviates from the purely thermal one and the tunneling probability is related to the change of Bekenstein–Hawking entropy, which satisfies an underlying unitary theory.

The Hawking Radiation of the Charged Massive Particle via Tunneling from a Plane Symmetry Black Hole

2012 ◽  
Vol 170-173 ◽  
pp. 2940-2943
Author(s):  
Qing Quan Jiang
Keyword(s):  
Black Hole ◽  
Emission Spectrum ◽  
Hawking Radiation ◽  
Quantum Tunneling ◽  
Massive Particle ◽  
Plane Symmetry ◽  
De Sitter ◽  
Unitary Theory ◽  
Tunneling Method ◽  
Classical Quantum

In Anti-de Sitter space-time, we develop the Parikh-Wilczek’s semi-classical quantum tunneling method to investigate the Hawking radiation of the charged massive particle via tunneling from a plane symmetry black hole. The result shows that, when taking self-gravitation interaction into account, the tunneling rate of the charged massive particle is related to the change of Bekenstein-Hawking entropy, and that the exact emission spectrum is not strictly pure thermal, but is consistent with the underlying unitary theory.

TUNNELING EFFECT OF CHARGED AND MAGNETIZED PARTICLES FROM THE REISSNER–NORDSTRÖM BLACK HOLE WITH MAGNETIC CHARGES

2007 ◽  
Vol 22 (24) ◽  
pp. 1821-1828 ◽  
Author(s):  
JINGYI ZHANG
Keyword(s):  
Black Hole ◽  
Electromagnetic Field ◽  
Emission Spectrum ◽  
Lagrangian Density ◽  
Functional Form ◽  
Magnetic Charge ◽  
Tunneling Effect ◽  
Unitary Theory ◽  
Thermal Spectrum ◽  
Black Hole Spacetime

In this paper, we first rewrite the Lagrangian density of the electromagnetic field corresponding to the source with electric and magnetic charges. Then, in the background of Reissner–Nordström black hole spacetime, we extend the Parikh–Wilczek tunneling framework and calculate the emission spectrum of the outgoing particles with electric and magnetic charges. For the sake of simplicity, we only consider the case that the rate of electric and magnetic charge of the emission particle is constant and equals that of the black hole. In this case, the emission spectrum deviates from the pure thermal spectrum, but it is consistent with an underlying unitary theory and takes the same functional form as that of the uncharged massless particles. Finally, a discussion about the result is presented.

HAWKING RADIATION VIA TUNNELING FROM GENERAL STATIC BLACK HOLES

2008 ◽  
Vol 23 (07) ◽  
pp. 539-553 ◽  
Author(s):  
CHENG-ZHOU LIU ◽  
ZHENG ZHAO
Keyword(s):  
Black Holes ◽  
Hawking Radiation ◽  
Back Reaction ◽  
Emission Rates ◽  
Unitary Theory ◽  
Radiation Process ◽  
Tunneling Method ◽  
Before And After ◽  
Metric Function ◽  
Semiclassical Tunneling

Hawking radiation viewed as a semiclassical tunneling process of particles from the event horizon of general static black holes is investigated by taking the back-reaction of the emitted particles into account. In a general static spacetime, the emission rates of massless, massive and massive charged particles are computed respectively and the tunneling probabilities are obtained. Our results show that when energy and charge conservation are incorporated into the radiation process, the emission rate of the tunneling particles is related to changes of the Bekenstein-Hawking entropies of the black hole before and after the emission, thus it is consistent with an underlying unitary theory. The present results are obtained in a general way, no matter what the special static metric function is, and hence a generalization for the results found in the literature is given. Some remarks on the tunneling method are presented.

scholarly journals MASSIVE UNCHARGED AND CHARGED PARTICLES' TUNNELING FROM THE HOROWITZ–STROMINGER DILATON BLACK HOLE

2007 ◽  
Vol 16 (05) ◽  
pp. 847-855 ◽  
Author(s):  
YAPENG HU ◽  
JINGYI ZHANG ◽  
ZHENG ZHAO
Keyword(s):  
Black Hole ◽  
Black Hole Solution ◽  
Emission Rate ◽  
Charged Particles ◽  
Black Hole Thermodynamics ◽  
Tunneling Effect ◽  
Emission Rates ◽  
Unitary Theory ◽  
Massless Particles ◽  
Dilaton Black Hole

Originally, Parikh and Wilczek's work is only suitable for the massless particles' tunneling. But their work has been further extended to the cases of massive uncharged and charged particles' tunneling recently. In this paper, as a particular black hole solution, we apply this extended method to reconsider the tunneling effect of the Horowitz–Strominger Dilaton black hole. We investigate the behavior of both massive uncharged and charged particles, and respectively calculate the emission rate at the event horizon. Our result shows that their emission rates are also consistent with the unitary theory. Moreover, comparing with the case of massless particles' tunneling, we find that this conclusion is independent of the kind of particles. And it is probably caused by the underlying relationship between this method and the laws of black hole thermodynamics.

scholarly journals Area Entropy and Quantized Mass of Black Holes from Information Theory

Entropy ◽  
2021 ◽  
Vol 23 (7) ◽  
pp. 858
Author(s):  
Dongshan He ◽  
Qingyu Cai
Keyword(s):  
Information Theory ◽  
Black Hole ◽  
Black Hole Entropy ◽  
Quantum Corrections ◽  
Compton Wavelength ◽  
Information Theoretic ◽  
Curved Space ◽  
Thermodynamic Entropy ◽  
Hole Area ◽  
The Relationship

In this paper, we present a derivation of the black hole area entropy with the relationship between entropy and information. The curved space of a black hole allows objects to be imaged in the same way as camera lenses. The maximal information that a black hole can gain is limited by both the Compton wavelength of the object and the diameter of the black hole. When an object falls into a black hole, its information disappears due to the no-hair theorem, and the entropy of the black hole increases correspondingly. The area entropy of a black hole can thus be obtained, which indicates that the Bekenstein–Hawking entropy is information entropy rather than thermodynamic entropy. The quantum corrections of black hole entropy are also obtained according to the limit of Compton wavelength of the captured particles, which makes the mass of a black hole naturally quantized. Our work provides an information-theoretic perspective for understanding the nature of black hole entropy.

scholarly journals Quantum Corrections for a Braneworld Black Hole

2011 ◽  
Vol 50 (8) ◽  
pp. 2460-2465 ◽  
Author(s):  
Mubasher Jamil ◽  
Farhad Darabi
Keyword(s):  
Black Hole ◽  
Quantum Corrections

scholarly journals NONCRITICAL BOSONIC STRING CORRECTIONS TO THE BLACK HOLE ENTROPY

1995 ◽  
Vol 10 (17) ◽  
pp. 1187-1193 ◽  
Author(s):  
E. ELIZALDE ◽  
S.D. ODINTSOV
Keyword(s):  
Field Theory ◽  
Black Hole ◽  
Black Hole Entropy ◽  
Bosonic String ◽  
Quantum Corrections ◽  
Modular Invariance ◽  
Large Black Hole ◽  
String Corrections

We calculate the quantum corrections to the entropy of a very large black hole, coming from the theory of a D-dimensional, noncritical bosonic string. We show that for D>2, as a result of modular invariance the entropy is uv finite though it diverges in the ir (while for D=2 the entropy contains both uv and ir divergences). The issue of modular invariance in field theory, in connection with black hole entropy, is also investigated.

Sign in / Sign up

Export Citation Format

Share Document