scholarly journals Quantum Tunnelling for Hawking Radiation from Both Static and Dynamic Black Holes

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Subenoy Chakraborty ◽  
Subhajit Saha
Keyword(s):  
Black Hole ◽  
Hawking Radiation ◽  
Semiclassical Approximation ◽  
Black Hole Entropy ◽  
Jacobi Method ◽  
Quantum Corrections ◽  
Quantum Tunnelling ◽  
Static Black Hole ◽  
Symmetric Black Hole ◽  
Correction Terms

The paper deals with Hawking radiation from both a general static black hole and a nonstatic spherically symmetric black hole. In case of static black hole, tunnelling of nonzero mass particles is considered and due to complicated calculations, quantum corrections are calculated only up to the first order. The results are compared with those for massless particles near the horizon. On the other hand, for dynamical black hole, quantum corrections are incorporated using the Hamilton-Jacobi method beyond semiclassical approximation. It is found that different order correction terms satisfy identical differential equation and are solved by a typical technique. Finally, using the law of black hole mechanics, a general modified form of the black hole entropy is obtained considering modified Hawking temperature.

scholarly journals Noncommutative Correction to the Entropy of BTZ Black Hole with GUP

2021 ◽  
Vol 2021 ◽  
pp. 1-11 ◽  
Author(s):  
M. A. Anacleto ◽  
F. A. Brito ◽  
B. R. Carvalho ◽  
E. Passos
Keyword(s):  
Heat Capacity ◽  
Black Hole ◽  
Specific Heat ◽  
Specific Heat Capacity ◽  
Hawking Radiation ◽  
Generalized Uncertainty Principle ◽  
Jacobi Method ◽  
Quantum Corrections ◽  
Btz Black Hole ◽  
Logarithmic Corrections

We investigate the effect of noncommutativity and quantum corrections to the temperature and entropy of a BTZ black hole based on a Lorentzian distribution with the generalized uncertainty principle (GUP). To determine the Hawking radiation in the tunneling formalism, we apply the Hamilton-Jacobi method by using the Wentzel-Kramers-Brillouin (WKB) approach. In the present study, we have obtained logarithmic corrections to entropy due to the effect of noncommutativity and GUP. We also address the issue concerning stability of the noncommutative BTZ black hole by investigating its modified specific heat capacity.

scholarly journals Noncommutative correction to the entropy of Schwarzschild black hole with GUP

2021 ◽  
Vol 36 (03) ◽  
pp. 2150028
Author(s):  
M. A. Anacleto ◽  
F. A. Brito ◽  
S. S. Cruz ◽  
E. Passos
Keyword(s):  
Black Hole ◽  
Uncertainty Principle ◽  
Hawking Radiation ◽  
Generalized Uncertainty Principle ◽  
Hawking Temperature ◽  
Wkb Approximation ◽  
Jacobi Method ◽  
Quantum Corrections ◽  
Schwarzschild Black Hole ◽  
Lorentzian Distribution

In this paper we study through tunneling formalism, the effect of noncommutativity to Hawking radiation and the entropy of the noncommutative Schwarzschild black hole. In our model we have considered the noncommutativity implemented via the Lorentzian distribution. We obtain noncommutative corrections to the Hawking temperature using the Hamilton–Jacobi method and the Wentzel–Kramers–Brillouin (WKB) approximation. In addition, we found corrections of the logarithmic and other types due to noncommutativity and quantum corrections from the generalized uncertainty principle (GUP) for the entropy of the Schwarzschild black hole.

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 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.

Hawking Radiation from a Non-static Black Hole

1991 ◽  
Vol 8 (10) ◽  
pp. 548-550 ◽  
Author(s):  
Zhao Zheng ◽  
Dai Xianxin
Keyword(s):  
Black Hole ◽  
Hawking Radiation ◽  
Static Black Hole

scholarly journals Minimal Length Effects on Tunnelling from Spherically Symmetric Black Holes

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Benrong Mu ◽  
Peng Wang ◽  
Haitang Yang
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Angular Momentum ◽  
Minimal Length ◽  
Jacobi Method ◽  
Spherically Symmetric ◽  
Infinite Time ◽  
Quantum Tunnelling ◽  
Zero Mass ◽  
Jacobi Equations

We investigate effects of the minimal length on quantum tunnelling from spherically symmetric black holes using the Hamilton-Jacobi method incorporating the minimal length. We first derive the deformed Hamilton-Jacobi equations for scalars and fermions, both of which have the same expressions. The minimal length correction to the Hawking temperature is found to depend on the black hole’s mass and the mass and angular momentum of emitted particles. Finally, we calculate a Schwarzschild black hole's luminosity and find the black hole evaporates to zero mass in infinite time.

scholarly journals Hawking Non-thermal and Purely Thermal Radiations of Rotating Black Hole in Anti-de Sitter Space Time by Hamilton-Jacobi Method

2018 ◽  
Vol 37 ◽  
pp. 99-109
Author(s):  
M Ilias Hossain
Keyword(s):  
Black Hole ◽  
Angular Momentum ◽  
Emission Spectrum ◽  
Hawking Radiation ◽  
De Sitter Space ◽  
Space Time ◽  
Jacobi Method ◽  
De Sitter ◽  
Tunneling Method ◽  
Thermal Radiations

We have explored Hawking non-thermal and purely thermal radiations of Kerr-anti-de Sitter (KAdS) black hole using massive particles tunneling method by taking into account the space time background as dynamical, energy and angular momentum as conserved incorporating the selfgravitation effect of the emitted particles. The results we have obtained for KAdS black hole have shown that the tunneling rates are related to the change of Bekenstein-Hawking entropy and the derived emission spectrum deviates from the pure thermal spectrum and also the obtaining results for KAdS black hole are accordant with Parikh and Wilczek’s opinion and gives a correction to the Hawking radiation of KAdS black hole.GANIT J. Bangladesh Math. Soc.Vol. 37 (2017) 99-109

Sign in / Sign up

Export Citation Format

Share Document