Quantum entanglement of Dirac field in background of an asymptotically flat static black hole

2010 ◽  
Vol 10 (11&12) ◽  
pp. 947-955
Author(s):  
Jieci Wang ◽  
Qiyuan Pan ◽  
Songbai Chen ◽  
Jiliang Jing
Keyword(s):  
Black Hole ◽  
Mutual Information ◽  
Quantum Entanglement ◽  
Hawking Temperature ◽  
Universal Property ◽  
Dirac Field ◽  
Initial Value ◽  
Asymptotically Flat ◽  
Static Black Hole ◽  
Bosonic Case

The entanglement of the Dirac field in the asymptotically flat black hole is investigated. Unlike the bosonic case in which the initial entanglement vanishes in the limit of infinite Hawking temperature, in this case the entanglement achieves a nonvanishing minimum values, which shows that the entanglement is never completely destroyed when black hole evaporates completely. Another interesting result is that the mutual information in this limit equals to just half of its own initial value, which may be an universal property for any fields.

QUANTUM DISCORD AND QUANTUM ENTANGLEMENT IN THE PRESENCE OF AN ASYMPTOTICALLY FLAT STATIC BLACK HOLE

2013 ◽  
Vol 11 (06) ◽  
pp. 1350061
Author(s):  
EYLEE JUNG ◽  
MI-RA HWANG ◽  
DAEKIL PARK
Keyword(s):  
Black Hole ◽  
Quantum Discord ◽  
Full Range ◽  
Flat Space ◽  
Hawking Temperature ◽  
Classical Correlation ◽  
Asymptotically Flat ◽  
W States ◽  
Static Black Hole ◽  
Space Limit

In this work, the quantum discord and tripartite entanglement in the presence of an asymptotically flat static black hole are discussed. The total correlation, quantum discord, and classical correlation are found to exhibit decreasing behavior with increasing Hawking temperature. It is shown that the classical correlation is less than the quantum discord in the full range of Hawking temperature. The tripartite entanglements for Greenberger–Horne–Zeilinger (GHZ) and W-states also exhibit decreasing behavior with increasing Hawking temperature. When the Hawking temperature approaches the infinite limit, the tripartite entanglements of the GHZ and W-states reduce, in terms of the π-tangle, to 52% and 33% of the corresponding values in the flat space limit, respectively.

scholarly journals Spherically symmetric black holes with electric and magnetic charge in extended gravity: physical properties, causal structure, and stability analysis in Einstein’s and Jordan’s frames

2020 ◽  
Vol 80 (2) ◽  
Author(s):  
E. Elizalde ◽  
G. G. L. Nashed ◽  
S. Nojiri ◽  
S. D. Odintsov
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Stability Analysis ◽  
Physical Properties ◽  
Causal Structure ◽  
Hawking Temperature ◽  
The Novel ◽  
Extended Gravity ◽  
Static Black Hole ◽  
Black Hole Solutions

Abstract Novel static black hole solutions with electric and magnetic charges are derived for the class of modified gravities: $$f({{{\mathcal {R}}}})={{{\mathcal {R}}}}+2\beta \sqrt{{{\mathcal {R}}}}$$f(R)=R+2βR, with or without a cosmological constant. The new black holes behave asymptotically as flat or (A)dS space-times with a dynamical value of the Ricci scalar given by $$R=\frac{1}{r^2}$$R=1r2 and $$R=\frac{8r^2\Lambda +1}{r^2}$$R=8r2Λ+1r2, respectively. They are characterized by three parameters, namely their mass and electric and magnetic charges, and constitute black hole solutions different from those in Einstein’s general relativity. Their singularities are studied by obtaining the Kretschmann scalar and Ricci tensor, which shows a dependence on the parameter $$\beta $$β that is not permitted to be zero. A conformal transformation is used to display the black holes in Einstein’s frame and check if its physical behavior is changed w.r.t. the Jordan one. To this end, thermodynamical quantities, as the entropy, Hawking temperature, quasi-local energy, and the Gibbs free energy are calculated to investigate the thermal stability of the solutions. Also, the casual structure of the new black holes is studied, and a stability analysis is performed in both frames using the odd perturbations technique and the study of the geodesic deviation. It is concluded that, generically, there is coincidence of the physical properties of the novel black holes in both frames, although this turns not to be the case for the Hawking temperature.

scholarly journals The great escape: tunneling out of microstate geometries

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Iosif Bena ◽  
Felicity Eperon ◽  
Pierre Heidmann ◽  
Nicholas P. Warner
Keyword(s):  
Black Hole ◽  
Wave Equation ◽  
Central Charge ◽  
Energy Decay ◽  
Low Energy ◽  
Universal Property ◽  
Asymptotically Flat ◽  
Decay Times ◽  
Energy States

Abstract We compute the quasi-normal frequencies of scalars in asymptotically-flat microstate geometries that have the same charge as a D1-D5-P black hole, but whose long BTZ-like throat ends in a smooth cap. In general the wave equation is not separable, but we find a class of geometries in which the non-separable term is negligible and we can compute the quasi-normal frequencies using WKB methods. We argue that our results are a universal property of all microstate geometries with deeply-capped BTZ throats. These throats generate large redshifts, which lead to exceptionally-low-energy states with extremely long decay times, set by the central charge of the dual CFT to the power of twice the dimension of the operator dual to the mode. While these decay times are extremely long, we also argue that the energy decay is bounded, at large t, by (log(t))−2 and is comparable with the behavior of ultracompact stars, as one should expect for microstate geometries.

scholarly journals Gravitational lensing effect on the Hawking radiation of dyonic black holes

2014 ◽  
Vol 11 (08) ◽  
pp. 1450074 ◽  
Author(s):  
Izzet Sakalli ◽  
Ali Ovgun ◽  
Seyedeh Fatemeh Mirekhtiary
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Refractive Index ◽  
Coordinate System ◽  
Gravitational Lensing ◽  
Hawking Radiation ◽  
Hawking Temperature ◽  
Tunneling Rate ◽  
Asymptotically Flat ◽  
Lensing Effect

In this paper, we analyze the Hawking radiation (HR) of a non-asymptotically flat (NAF) dyonic black hole (dBH) in four-dimensional (4D) Einstein–Maxwell–Dilaton (EMD) gravity by using one of the semiclassical approaches which is the so-called Hamilton–Jacobi (HJ) method. We particularly motivate on the isotropic coordinate system (ICS) of the dBH in order to highlight the ambiguity to be appeared in the derivation of the Hawking temperature (TH) via the HJ method. Besides, it will be shown that the ICS allows us to write the metric of the dBH in form of the Fermat metric, which renders possible of identification of the refractive index (n) of the dBH. It is unraveled that the value of n and therefore the gravitational lensing effect is decisive on the tunneling rate of the HR. We also uncloak how one can resolve the discrepancy about the TH of the dBH in spite of that lensing effect.

scholarly journals The statistical entropy of Dirac field in spherically symmetric non-static black hole

2003 ◽  
Vol 52 (7) ◽  
pp. 1822
Author(s):  
Meng Qing-Miao ◽  
Su Jiu-Qing ◽  
Li Chuan-An
Keyword(s):  
Black Hole ◽  
Dirac Field ◽  
Spherically Symmetric ◽  
Statistical Entropy ◽  
Static Black Hole

scholarly journals Extremal black holes that are not extremal: maximal warm holes

2022 ◽  
Vol 2022 (1) ◽  
Author(s):  
Óscar J. C. Dias ◽  
Gary T. Horowitz ◽  
Jorge E. Santos
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Hawking Temperature ◽  
Charged Scalar ◽  
Asymptotically Flat ◽  
Charged Black Holes ◽  
Maximum Charge ◽  
Scalar Hair ◽  
Hairy Black Hole ◽  
Extremal Black Holes

Abstract We study a family of four-dimensional, asymptotically flat, charged black holes that develop (charged) scalar hair as one increases their charge at fixed mass. Surprisingly, the maximum charge for given mass is a nonsingular hairy black hole with nonzero Hawking temperature. The implications for Hawking evaporation are discussed.

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