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.

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.

scholarly journals The Thermodynamic Relationship between the RN-AdS Black Holes and the RN Black Hole in Canonical Ensemble

2017 ◽  
Vol 2017 ◽  
pp. 1-7 ◽  
Author(s):  
Yu-Bo Ma ◽  
Li-Chun Zhang ◽  
Jian Liu ◽  
Ren Zhao ◽  
Shuo Cao
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Flat Space ◽  
Space Time ◽  
Asymptotically Flat ◽  
Time Space ◽  
Ads Black Holes ◽  
Different Types ◽  
Thermodynamic Relationship ◽  
The Relationship

In this paper, by analyzing the thermodynamic properties of charged AdS black hole and asymptotically flat space-time charged black hole in the vicinity of the critical point, we establish the correspondence between the thermodynamic parameters of asymptotically flat space-time and nonasymptotically flat space-time, based on the equality of black hole horizon area in the two different types of space-time. The relationship between the cavity radius (which is introduced in the study of asymptotically flat space-time charged black holes) and the cosmological constant (which is introduced in the study of nonasymptotically flat space-time) is determined. The establishment of the correspondence between the thermodynamics parameters in two different types of space-time is beneficial to the mutual promotion of different time-space black hole research, which is helpful to understand the thermodynamics and quantum properties of black hole in space-time.

scholarly journals MAPPING HAWKING TEMPERATURE IN THE SPINNING CONSTANT CURVATURE BLACK HOLE SPACES INTO UNRUH TEMPERATURE

2012 ◽  
Vol 27 (01) ◽  
pp. 1250002 ◽  
Author(s):  
HUAIFAN LI ◽  
BIN HU
Keyword(s):  
Black Hole ◽  
Constant Curvature ◽  
Positive Constant ◽  
Flat Space ◽  
Hawking Temperature ◽  
Constant Acceleration ◽  
Outer Horizon

We established the equivalence between the local Hawking temperature measured by the time-like Killing observer located at some positions r with finite distances from the outer horizon r+ in the five-dimensional spinning black hole space with both negative and positive constant curvature, and the Unruh temperature measured by the Rindler observer with constant acceleration in the six-dimensional flat space by employing the globally embedding approach.

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 SPECTROSCOPY OF AN AdS REISSNER–NORDSTRØM BLACK HOLE

2006 ◽  
Vol 15 (03) ◽  
pp. 439-457 ◽  
Author(s):  
CLAUDIO DAPPIAGGI ◽  
SIMONA RASCHI
Keyword(s):  
Black Hole ◽  
Cosmological Constant ◽  
Flat Space ◽  
Space Time ◽  
Charged Black Hole ◽  
Area Spectrum ◽  
Asymptotically Flat ◽  
Negative Cosmological Constant

In the framework of black hole spectroscopy, we extend the results obtained for a charged black hole in an asymptotically flat space–time to the scenario with non-vanishing negative cosmological constant. In particular, exploiting Hamiltonian techniques, we construct the area spectrum for an AdS Reissner–Nordstrøm black hole.

scholarly journals The Phase Transition of Higher Dimensional Charged Black Holes

2016 ◽  
Vol 2016 ◽  
pp. 1-10 ◽  
Author(s):  
Xiongying Guo ◽  
Huaifan Li ◽  
Lichun Zhang ◽  
Ren Zhao
Keyword(s):  
Black Hole ◽  
Critical Point ◽  
Intrinsic Property ◽  
Flat Space ◽  
Thermodynamic System ◽  
Asymptotically Flat ◽  
Black Hole Thermodynamic ◽  
Charged Black Holes ◽  
Higher Dimensional ◽  
Ads Spacetime

We have studied phase transitions of higher dimensional charge black hole with spherical symmetry. We calculated the local energy and local temperature and find that these state parameters satisfy the first law of thermodynamics. We analyze the critical behavior of black hole thermodynamic system by taking state parameters(Q,Φ)of black hole thermodynamic system, in accordance with considering the state parameters(P,V)of van der Waals system, respectively. We obtain the critical point of black hole thermodynamic system and find that the critical point is independent of the dual independent variables we selected. This result for asymptotically flat space is consistent with that for AdS spacetime and is intrinsic property of black hole thermodynamic system.

scholarly journals BRANE WORLD IN A TOPOLOGICAL BLACK HOLES IN ASYMPTOTICALLY FLAT SPACE–TIME

2001 ◽  
Vol 16 (26) ◽  
pp. 1703-1710 ◽  
Author(s):  
DONAM YOUM
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Scalar Field ◽  
Flat Space ◽  
Space Time ◽  
Brane World ◽  
Black Hole Horizon ◽  
World Model ◽  
Asymptotically Flat ◽  
Bulk Scalar Field

We study static brane configurations in the bulk background of the topological black holes in asymptotically flat space–time and find that such configurations are possible even for flat black hole horizon, unlike the AdS black hole case. We construct the brane world model with an orbifold structure S1/Z2 in such bulk background and study massless bulk scalar field.

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 LOCAL FREE-FALL TEMPERATURE OF A RN–AdS BLACK HOLE

2010 ◽  
Vol 25 (15) ◽  
pp. 3107-3120 ◽  
Author(s):  
YONG-WAN KIM ◽  
JAEDONG CHOI ◽  
YOUNG-JAI PARK
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Minkowski Space ◽  
Event Horizon ◽  
Free Fall ◽  
Flat Space ◽  
Space Time ◽  
Local Temperature ◽  
Static Black Hole ◽  
Fall Temperature

We use the global embedding Minkowski space geometries of a (3+1)-dimensional curved Reissner–Nordström (RN)–AdS black hole space–time into a (5+2)-dimensional flat space–time to define a proper local temperature, which remains finite at the event horizon, for freely falling observers outside a static black hole. Our extended results include the known limiting cases of the RN, Schwarzschild–AdS and Schwarzschild black holes.

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