# Eternal black holes in anti-de Sitter

@article{Maldacena2003EternalBH, title={Eternal black holes in anti-de Sitter}, author={Juan Martin Maldacena}, journal={Journal of High Energy Physics}, year={2003}, volume={2003}, pages={021-021} }

We propose a dual non-perturbative description for maximally extended Schwarzschild Anti-de-Sitter spacetimes. The description involves two copies of the conformal field theory associated to the AdS spacetime and an initial entangled state. In this context we also discuss a version of the information loss paradox and its resolution.

## 1,169 Citations

Effective Potential in Noncommutative BTZ Black Hole

- Mathematics
- 2016

In this paper, we investigated the noncommutative rotating BTZ black hole and showed that such a space-time is not maximally symmetric. We calculated effective potential for the massive and the…

On charged black holes in anti-de Sitter space

- Physics
- 2005

We study the region inside the event horizon of charged black holes in five dimensional asymptotically anti-de Sitter space, using as a probe two-sided correlators which are dominated by spacelike…

Insightful D-branes

- Physics
- 2009

We study a simple model of a black hole in AdS and obtain a holographic description of the region inside the horizon. A key role is played by the dynamics of the scalar fields in the dual gauge…

Local Operators in the Eternal Black Hole.

- PhysicsPhysical review letters
- 2015

It is shown that gauge-invariant relational observables that probe the black hole interior in these states and constrain their properties using effective field theory are necessarily described by state-dependent bulk-boundary maps, which are constructed explicitly.

Three-dimensional de Sitter gravity and the dS/CFT correspondence

- Physics
- 2002

Certain aspects of three dimensional asymptotically de Sitter spaces are studied, with emphasis on the mapping between gravity observables and the representation of the conformal symmetry of the…

Holography versus Correspondence principle: eternal Schwarzschild-anti-de Sitter geometry

- Physics
- 2017

It is shown that the correspondence principle and the holographic principle are incompatible in the background of an eternal Schwarzschild–anti-de Sitter geometry. The argument is based on the…

Gauge-gravity duality and the black hole interior.

- PhysicsPhysical review letters
- 2013

The Einstein-R Rosen=Einstein-Podolsky-Rosen conjecture of Maldacena and Susskind is addressed, arguing that the correlations in generic highly entangled states cannot be geometrized as a smooth wormhole.

A patchwork description of dual spacetimes in AdS/CFT

- Physics
- 2011

In this paper, we attempt to provide some insights into the structure of non-perturbative descriptions of quantum gravity using known examples of gauge theory/gravity duality. We argue that in…

A patchwork description of dual spacetimes in AdS/CFT

- Physics
- 2011

In this paper, we attempt to provide some insights into the structure of non-perturbative descriptions of quantum gravity using known examples of gauge theory/gravity duality. We argue that in…

Complexity and action for warped AdS black holes

- PhysicsJournal of High Energy Physics
- 2018

A bstractThe Complexity=Action conjecture is studied for black holes in Warped AdS3 space, realized as solutions of Einstein gravity plus matter. The time dependence of the action of the…

## References

SHOWING 1-10 OF 73 REFERENCES

Black Holes and Wormholes in 2+1 Dimensions

- Physics
- 1998

Vacuum Einstein theory in three spacetime dimensions is locally trivial, but admits many solutions that are globally different, particularly if there is a negative cosmological constant. The…

Bulk and boundary dynamics in BTZ black holes - art. no. 104001

- Physics
- 1999

Recently, the AdS-CFT conjecture of Maldacena has been investigated in a Lorentzian signature by Balasubramanian et al. We extend this investigation to Lorentzian BTZ black hole spacetimes, and stu…

ANTI-DE SITTER SPACE, THERMAL PHASE TRANSITION AND CONFINEMENT IN GAUGE THEORIES

- Physics
- 1998

The correspondence between supergravity (and string theory) on AdS space and boundary conformal field theory relates the thermodynamics of super-Yang–Mills theory in four dimensions to the…

Inflation and holography in string theory

- Physics
- 2001

The encoding of an inflating patch of space-time in terms of a dual theory is discussed. Following Bousso's interpretation of the holographic principle, we find that those are generically described…

Single exterior black holes and the AdS / CFT conjecture

- Physics
- 1999

In the context of the conjectured AdS-CFT correspondence of string theory, we consider a class of asymptotically Anti-de Sitter black holes whose conformal boundary consists of a single connected…

Holographic Probes of Anti-de Sitter Spacetimes

- Physics
- 1999

We describe probes of anti{endash}de Sitter spacetimes in terms of conformal field theories on the AdS boundary. Our basic tool is a formula that relates bulk and boundary states{emdash}classical…

String theory formulation of the three-dimensional black hole.

- PhysicsPhysical review letters
- 1993

It is shown that a slight modification of this solution yields an exact solution to string theory, which suggests that strings are not affected by a negative cosmological constant in three dimensions.

Note on Hartle-Hawking vacua.

- MathematicsPhysical review. D, Particles and fields
- 1994

The purpose of this note is to establish the basic properties--- regularity at the horizon, time independence, and thermality--- of the generalized Hartle-Hawking vacua defined in static spacetimes…

Exact Three Dimensional Black Holes in String Theory

- Physics
- 1993

A black hole solution to three dimensional general relativity with a negative cosmological constant has recently been found. We show that a slight modification of this solution yields an exact…

Single-Exterior Black Holes

- Physics
- 1999

We discuss quantum properties of the single-exterior, “geon”-type black (and white) holes that are obtained from the Kruskal spacetime and the spinless Banados-Teitelboim-Zanelli hole via a quotient…