scholarly journals Islands and Page curves in 4d from Type IIB

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Christoph F. Uhlemann
Keyword(s):  
Black Hole ◽  
String Theory ◽  
Entanglement Entropy ◽  
Critical Parameters ◽  
Brane Worlds ◽  
Black Hole Radiation ◽  
Entropy Of Black Hole ◽  
Dimensional Gravity ◽  
Black Hole Information ◽  
Type Iib String Theory

Abstract Variants of the black hole information paradox are studied in Type IIB string theory setups that realize four-dimensional gravity coupled to a bath. The setups are string theory versions of doubly-holographic Karch/Randall brane worlds, with black holes coupled to non-gravitating and gravitating baths. The 10d versions are based on fully backreacted solutions for configurations of D3, D5 and NS5 branes, and admit dual descriptions as $$ \mathcal{N} $$ N = 4 SYM on a half space and 3d $$ {T}_{\rho}^{\sigma } $$ T ρ σ [SU(N)] SCFTs. Island contributions to the entanglement entropy of black hole radiation systems are identified through Ryu/Takayanagi surfaces and lead to Page curves. Analogs of the critical angles found in the Karch/Randall models are identified in 10d, as critical parameters in the brane configurations and dual field theories.

scholarly journals Islands and Page curves of Reissner-Nordström black holes

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Xuanhua Wang ◽  
Ran Li ◽  
Jin Wang
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Hawking Radiation ◽  
Entanglement Entropy ◽  
Additional Term ◽  
Current Case ◽  
Information Paradox ◽  
Extremal Surface ◽  
Four Dimensions ◽  
Black Hole Information

Abstract We apply the recently proposed quantum extremal surface construction to calculate the Page curve of the eternal Reissner-Nordström black holes in four dimensions ignoring the backreaction and the greybody factor. Without the island, the entropy of Hawking radiation grows linearly with time, which results in the information paradox for the eternal black holes. By extremizing the generalized entropy that allows the contributions from the island, we find that the island extends to the outside the horizon of the Reissner-Nordström black hole. When taking the effect of the islands into account, it is shown that the entanglement entropy of Hawking radiation at late times for a given region far from the black hole horizon reproduces the Bekenstein-Hawking entropy of the Reissner-Nordström black hole with an additional term representing the effect of the matter fields. The result is consistent with the finiteness of the entanglement entropy for the radiation from an eternal black hole. This facilitates to address the black hole information paradox issue in the current case under the above-mentioned approximations.

scholarly journals A PROPOSAL TO RESOLVE THE BLACK HOLE INFORMATION PARADOX

2002 ◽  
Vol 11 (10) ◽  
pp. 1537-1540 ◽  
Author(s):  
SAMIR D. MATHUR
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
String Theory ◽  
Quantum Gravity ◽  
Bound State ◽  
Nonlocal Effects ◽  
Information Paradox ◽  
Microscopic Scale ◽  
Gravity Effects ◽  
Black Hole Information

The entropy and information puzzles arising from black holes cannot be resolved if quantum gravity effects remain confined to a microscopic scale. We use concrete computations in nonperturbative string theory to argue for three kinds of nonlocal effects that operate over macroscopic distances. These effects arise when we make a bound state of a large number of branes, and occur at the correct scale to resolve the paradoxes associated with black holes.

A COMMENT ON THE BLACK HOLE INFORMATION PARADOX

2001 ◽  
Vol 16 (supp01c) ◽  
pp. 1001-1004
Author(s):  
SAMIR D. MATHUR
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
String Theory ◽  
Information Paradox ◽  
Loss Of Information ◽  
Black Hole Information ◽  
Classical Gravity ◽  
New Criterion

Results from string theory strongly suggest that formation and evaporation of black holes is a unitary process. Thus we must find a flaw in the semiclassical reasoning that implies a loss of information. We propose a new criterion that limits the domain of classical gravity: the hypersurfaces of a foliation cannot be stretched too much.

scholarly journals Deflection of light around a rotating BTZ black hole

2020 ◽  
Vol 35 (39) ◽  
pp. 2050323
Author(s):  
Shubham Kala ◽  
Hemwati Nandan ◽  
Prateek Sharma
Keyword(s):  
Black Hole ◽  
Cosmological Constant ◽  
Test Particle ◽  
Gravitational Lensing ◽  
Critical Parameters ◽  
Btz Black Hole ◽  
Bending Angle ◽  
Retrograde Motion ◽  
Test Particles ◽  
Dimensional Gravity

We present a detailed study of gravitational lensing around a rotating Bañados–Teitelboim–Zanelli (BTZ) black hole in (2 + 1)-dimensional gravity. The study of orbits for massless test particle around this BH spacetime is performed to describe the nature of cosmological constant in lower dimensions. We study the effect of cosmological constant on the photon orbit in view of other critical parameters. The bending angle of light is studied in view of different values of cosmological constant for direct and retrograde motion of test particles. It is being observed that the bending angle slightly decreases as the value of cosmological constant increases in the negative region.

scholarly journals Topological stars, black holes and generalized charged Weyl solutions

2021 ◽  
Vol 2021 (9) ◽  
Author(s):  
Ibrahima Bah ◽  
Pierre Heidmann
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
String Theory ◽  
Closed Form ◽  
Extremal Black Hole ◽  
Four Dimensions ◽  
Black Strings ◽  
Type Iib String Theory ◽  
Multi Body

Abstract We construct smooth static bubble solutions, denoted as topological stars, in five-dimensional Einstein-Maxwell theories which are asymptotic to ℝ1,3×S1. The bubbles are supported by allowing electromagnetic fluxes to wrap smooth topological cycles. The solutions live in the same regime as non-extremal static charged black strings, that reduce to black holes in four dimensions. We generalize to multi-body configurations on a line by constructing closed-form generalized charged Weyl solutions in the same theory. Generic solutions consist of topological stars and black strings stacked on a line, that are wrapped by electromagnetic fluxes. We embed the solutions in type IIB String Theory on S1×T4. In this framework, the charged Weyl solutions provide a novel class in String Theory of multiple charged objects in the non-supersymmetric and non-extremal black hole regime.

scholarly journals Topological Entanglement Entropy of Black Hole Interiors

2020 ◽  
pp. 1940001
Author(s):  
Eric Howard
Keyword(s):  
Black Hole ◽  
Long Range ◽  
Entanglement Entropy ◽  
Quantum Hall ◽  
Black Hole Entropy ◽  
Topological Quantum ◽  
Boundary Correspondence ◽  
Entropy Of Black Hole ◽  
Topological Entanglement Entropy ◽  
Chern Simons

Recent theoretical progress shows that ([Formula: see text]) black hole solution manifests long-range topological quantum entanglement similar to exotic non-Abelian excitations with fractional quantum statistics. In topologically ordered systems, there is a deep connection between physics of the bulk and that at the boundaries. Boundary terms play an important role in explaining the black hole entropy in general. We find several common properties between BTZ black holes and the Quantum Hall effect in ([Formula: see text])-dimensional bulk/boundary theories. We calculate the topological entanglement entropy of a ([Formula: see text]) black hole and recover the Bekenstein–Hawking entropy, showing that black hole entropy and topological entanglement entropy are related. Using Chern–Simons and Liouville theories, we find that long-range entanglement describes the interior geometry of a black hole and identify it with the boundary entropy as the bond required by the connectivity of spacetime, gluing the short-range entanglement described by the area law. The IR bulk–UV boundary correspondence can be realized as a UV low-excitation theory on the bulk matching the IR long-range excitations on the boundary theory. Several aspects of the current findings are discussed.

scholarly journals Circuit Complexity from Cosmological Islands

Symmetry ◽  
2021 ◽  
Vol 13 (7) ◽  
pp. 1301
Author(s):  
Sayantan Choudhury ◽  
Satyaki Chowdhury ◽  
Nitin Gupta ◽  
Anurag Mishara ◽  
Sachin Panneer Selvam ◽  
...  
Keyword(s):  
Black Hole ◽  
Parameter Space ◽  
Entanglement Entropy ◽  
Cosmological Solution ◽  
Circuit Complexity ◽  
Space Time ◽  
De Sitter ◽  
Squeezed State ◽  
Black Hole Information ◽  
Made In

Recently, in various theoretical works, path-breaking progress has been made in recovering the well-known page curve of an evaporating black hole with quantum extremal islands, proposed to solve the long-standing black hole information loss problem related to the unitarity issue. Motivated by this concept, in this paper, we study cosmological circuit complexity in the presence (or absence) of quantum extremal islands in negative (or positive) cosmological constant with radiation in the background of Friedmann-Lemai^tre-Robertson-Walker (FLRW) space-time, i.e., the presence and absence of islands in anti de Sitter and the de Sitter space-time having SO(2, 3) and SO(1, 4) isometries, respectively. Without using any explicit details of any gravity model, we study the behavior of the circuit complexity function with respect to the dynamical cosmological solution for the scale factors for the above mentioned two situations in FLRW space-time using squeezed state formalism. By studying the cosmological circuit complexity, out-of-time ordered correlators, and entanglement entropy of the modes of the squeezed state, in different parameter space, we conclude the non-universality of these measures. Their remarkably different features in the different parameter space suggests their dependence on the parameters of the model under consideration.

scholarly journals Holographic Cavalieri principle as a universal relation between holographic complexity and holographic entanglement entropy

2018 ◽  
Vol 27 (09) ◽  
pp. 1850103 ◽  
Author(s):  
Davood Momeni ◽  
Mir Faizal ◽  
Ratbay Myrzakulov
Keyword(s):  
Black Holes ◽  
String Theory ◽  
Entanglement Entropy ◽  
Circular Disk ◽  
Universal Relation ◽  
De Sitter ◽  
Cavalieri Principle ◽  
Holographic Entanglement Entropy ◽  
Type Iib String Theory

In this paper, we will propose a universal relation between the holographic complexity (dual to a volume in AdS) and the holographic entanglement entropy (dual to an area in anti-de Sitter (AdS)). We will explicitly demonstrate that our conjuncture holds for all metrics asymptotic to [Formula: see text], and then argue that such a relation should hold in general due to the AdS version of the Cavalieri principle. We will demonstrate that it holds for Janus solution, which have been recently been obtained in type IIB string theory. We will also show that this conjecture holds for a circular disk. This conjecture will be used to show that the proposal that the complexity equals action and the proposal that the complexity equals volume can represent the same physics. Thus, using this conjecture, we will show that the black holes are fastest computers, using the proposal that complexity equals volume.

ENTANGLEMENT ENTROPY OF d-DIMENSIONAL BLACK HOLE AND QUANTUM ISOLATED HORIZON

2013 ◽  
Vol 28 (32) ◽  
pp. 1350129
Author(s):  
HUI-HUA ZHAO ◽  
GUANG-LIANG LI ◽  
REN ZHAO ◽  
MENG-SEN MA ◽  
LI-CHUN ZHANG
Keyword(s):  
Black Hole ◽  
Entanglement Entropy ◽  
Black Hole Entropy ◽  
Quantum States ◽  
Entropic Force ◽  
Statistical Entropy ◽  
Dimensional Spacetime ◽  
Entropy Of Black Hole ◽  
Dimensional Black Hole ◽  
Correction Terms

Based on the works of Ghosh et al. who view the black hole entropy as the logarithm of the number of quantum states on the Quantum Isolated Horizon (QIH), the entropy of d-dimensional black hole is studied. According to the Unruh–Verlinde temperature deduced from the concept of entropic force, the statistical entropy of quantum fields under the background of d-dimensional spacetime is calculated by means of quantum statistics. The results reveal the relation between the entanglement entropy of black hole and the logarithm of the number of quantum states and display the effects of dimensions on the correction terms of the entanglement entropy.

scholarly journals Local quenches, bulk entanglement entropy and a unitary Page curve

2020 ◽  
Vol 2020 (8) ◽  
Author(s):  
Cesar A. Agón ◽  
Sagar F. Lokhande ◽  
Juan F. Pedraza
Keyword(s):  
Black Hole ◽  
Entanglement Entropy ◽  
Quantum Corrections ◽  
Massive Scalar Field ◽  
Black Hole Evaporation ◽  
Primary Operator ◽  
Black Hole Information ◽  
Information Problem ◽  
Matter Fields ◽  
Entropy Corrections

Abstract Quantum corrections to the entanglement entropy of matter fields interacting with dynamical gravity have proven to be very important in the study of the black hole information problem. We consider a one-particle excited state of a massive scalar field infalling in a pure AdS3 geometry and compute these corrections for bulk subregions anchored on the AdS boundary. In the dual CFT2, the state is given by the insertion of a local primary operator and its evolution thereafter. We calculate the area and bulk entanglement entropy corrections at order $$ \mathcal{O}\left({N}^0\right), $$ O N 0 , both in AdS and its CFT dual. The two calculations match, thus providing a non-trivial check of the FLM formula in a dynamical setting. Further, we observe that the bulk entanglement entropy follows a Page curve. We explain the precise sense in which our setup can be interpreted as a simple model of black hole evaporation and comment on the implications for the information problem.

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