scholarly journals Entangled Particles Spinning on the Black Hole Horizon

2020 ◽  
Author(s):  
Mostafa Bousder
Keyword(s):  
Black Hole ◽  
Kinetic Energy ◽  
Entanglement Entropy ◽  
Point Of View ◽  
Black Hole Horizon ◽  
Extremal Black Hole ◽  
The Real ◽  
New Type

In this paper, we present a technique to unify the Reissner–Nordstr¨om metric and the Kerr–Newman metric. We construct a specifific model and calculate the entanglement entropy of black horizon. We are interested in the entangled particle and antiparticle spinning on the black hole horizon. The two Reissner-Nordstr¨om horizons r±, are the results of the rotation of several entangled particle-antiparticle on the real horizon. The energy absorbed by a black hole is transformed into a kinetic energy of the entangled particle-antiparticles. This study provides a new type of black hole metric. We show that the rotation of an entangled system of a particle and an antiparticle can create a extremal black hole. We also explore some of the implications of this point of view for the black hole entanglement.

scholarly journals Near extremal black hole entropy as entanglement entropy viaAdS2/CFT1

2008 ◽  
Vol 77 (6) ◽  
Author(s):  
Tatsuo Azeyanagi ◽  
Tatsuma Nishioka ◽  
Tadashi Takayanagi
Keyword(s):  
Black Hole ◽  
Entanglement Entropy ◽  
Black Hole Entropy ◽  
Extremal Black Hole

scholarly journals Distributions of extremal black holes in Calabi-Yau compactifications

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
George Hulsey ◽  
Shamit Kachru ◽  
Sungyeon Yang ◽  
Max Zimet
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Moduli Space ◽  
Black Hole Horizon ◽  
Extremal Black Hole ◽  
Vector Multiplet ◽  
Horizon Area ◽  
Extremal Black Holes

Abstract We study non-supersymmetric extremal black hole excitations of 4d $$ \mathcal{N} $$ N = 2 supersymmetric string vacua arising from compactification on Calabi-Yau threefolds. The values of the (vector multiplet) moduli at the black hole horizon are governed by the attractor mechanism. This raises natural questions, such as “what is the distribution of attractor points on moduli space?” and “how many attractor black holes are there with horizon area up to a certain size?” We employ tools developed by Denef and Douglas [1] to answer these questions.

scholarly journals NEAR EXTREMAL BLACK HOLE ENTROPY AS ENTANGLEMENT ENTROPY VIA AdS2/CFT1

2008 ◽  
Vol 23 (14n15) ◽  
pp. 2229-2230
Author(s):  
TATSUO AZEYANAGI
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Quantum Mechanics ◽  
Entanglement Entropy ◽  
Black Hole Entropy ◽  
Extremal Black Hole ◽  
Conformal Quantum Mechanics ◽  
Extremal Black Holes

We holographically derive entropy of (near) extremal black holes as entanglement entropy of conformal quantum mechanics(CQM) living in two boundaries of AdS2.

scholarly journals Qubit and fermionic Fock spaces from type II superstring black holes

2017 ◽  
Vol 14 (06) ◽  
pp. 1750087 ◽  
Author(s):  
A. Belhaj ◽  
M. Bensed ◽  
Z. Benslimane ◽  
M. B. Sedra ◽  
A. Segui
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Differential Forms ◽  
Point Of View ◽  
Extremal Black Hole ◽  
Type Ii ◽  
Fock Spaces ◽  
Canonical Line Bundle ◽  
Qubit System ◽  
Dimensional Projective Space

Using Hodge diagram combinatorial data, we study qubit and fermionic Fock spaces from the point of view of type II superstring black holes based on complex compactifications. Concretely, we establish a one-to-one correspondence between qubits, fermionic spaces and extremal black holes in maximally supersymmetric supergravity obtained from type II superstring on complex toroidal and Calabi–Yau compactifications. We interpret the differential forms of the [Formula: see text]-dimensional complex toroidal compactification as states of [Formula: see text]-qubits encoding information on extremal black hole charges. We show that there are [Formula: see text] copies of [Formula: see text] qubit systems which can be split as [Formula: see text]. More precisely, [Formula: see text] copies are associated with even [Formula: see text]-brane charges in type IIA superstring and the other [Formula: see text] ones correspond to odd [Formula: see text]-brane charges in IIB superstring. This correspondence is generalized to a class of Calabi–Yau manifolds. In connection with black hole charges in type IIA superstring, an [Formula: see text]-qubit system has been obtained from a canonical line bundle of [Formula: see text] factors of one-dimensional projective space [Formula: see text]

scholarly journals Anti-de-Sitter-Maxwell-Yang-Mills Black Holes Thermodynamics from Nonlocal Observables Point of View

2019 ◽  
Vol 2019 ◽  
pp. 1-13 ◽  
Author(s):  
H. El Moumni
Keyword(s):  
Black Hole ◽  
Phase Structure ◽  
Entanglement Entropy ◽  
Point Of View ◽  
De Sitter ◽  
Yang Mills ◽  
Fixed Charges ◽  
Point Correlation ◽  
Point Correlation Function ◽  
Grand Canonical

In this paper we analyze the thermodynamic properties of the Anti-de-Sitter black hole in the Einstein-Maxwell-Yang-Mills-AdS gravity (EMYM) via many approaches and in different thermodynamical ensembles (canonical/grand canonical). First, we give a concise overview of this phase structure in the entropy-thermal diagram for fixed charges and then we investigate this thermodynamical structure in fixed potentials ensemble. The next relevant step is recalling the nonlocal observables such as holographic entanglement entropy and two-point correlation function to show that both observables exhibit a Van der Waals-like behavior in our numerical accuracy and just near the critical line as the case of the thermal entropy for fixed charges by checking Maxwell’s equal area law and the critical exponent. In the light of the grand canonical ensemble, we also find a newly phase structure for such a black hole where the critical behavior disappears in the thermal picture as well as in the holographic one.

scholarly journals The Black Hole

2012 ◽  
Vol 3 ◽  
pp. 50-55
Author(s):  
Parashu Ram Poudel
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Point Of View ◽  
Fundamental Physics ◽  
The Real ◽  
Gravitational Pull ◽  
Real Universe

Black holes are the cold remnants of former stars. They are so dense that no matter -not even light - is able to escape their powerful gravitational pull. These are interesting objects from a fundamental physics point of view and play an important role in astrophysics. The knowledge of phenomenon of origin of black hole may lead to new understanding of the nature of the real universe. The Himalayan PhysicsVol. 3, No. 32012Page : 50-55

scholarly journals Entanglement entropy of asymptotically flat non-extremal and extremal black holes with an island

2021 ◽  
Vol 81 (10) ◽  
Author(s):  
Wontae Kim ◽  
Mungon Nam
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Entanglement Entropy ◽  
Heat Bath ◽  
Extremal Black Hole ◽  
Curvature Singularity ◽  
Island Rule ◽  
Generalized Entropy ◽  
Asymptotically Flat ◽  
Extremal Black Holes

AbstractThe island rule for the entanglement entropy is applied to an eternal Reissner–Nordström black hole. The key ingredient is that the black hole is assumed to be in thermal equilibrium with a heat bath of an arbitrary temperature and so the generalized entropy is treated as being off-shell. Taking the on-shell condition to the off-shell generalized entropy, we find the generalized entropy and then obtain the entanglement entropy following the island rule. For the non-extremal black hole, the entanglement entropy grows linearly in time and can be saturated after the Page time as expected. The entanglement entropy also has a well-defined Schwarzschild limit. In the extremal black hole, the island prescription provides a logarithmically growing entanglement entropy in time and a constant entanglement entropy after the Page time. In the extremal black hole, the boundary of the island hits the curvature singularity where the semi-classical approximations appear invalid. To avoid encountering the curvature singularity, we apply this procedure to the Hayward black hole regular at the origin. Consequently, the presence of the island in extremal black holes can provide a finite entanglement entropy, which might imply non-trivial vacuum configurations of extremal black holes.

scholarly journals Islands and stretched horizon

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Yoshinori Matsuo
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Hawking Radiation ◽  
Entanglement Entropy ◽  
Total System ◽  
Island Rule ◽  
Asymptotically Flat ◽  
Flat Spacetime ◽  
Ads Spacetime ◽  
Hole Geometry

Abstract Recently it was proposed that the entanglement entropy of the Hawking radiation contains the information of a region including the interior of the event horizon, which is called “island.” In studies of the entanglement entropy of the Hawking radiation, the total system in the black hole geometry is separated into the Hawking radiation and black hole. In this paper, we study the entanglement entropy of the black hole in the asymptotically flat Schwarzschild spacetime. Consistency with the island rule for the Hawking radiation implies that the information of the black hole is located in a different region than the island. We found an instability of the island in the calculation of the entanglement entropy of the region outside a surface near the horizon. This implies that the region contains all the information of the total system and the information of the black hole is localized on the surface. Thus the surface would be interpreted as the stretched horizon. This structure also resembles black holes in the AdS spacetime with an auxiliary flat spacetime, where the information of the black hole is localized at the interface between the AdS spacetime and the flat spacetime.

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