# Anti-de-Sitter spacetime and its uses

@article{Gibbons2011AntideSitterSA, title={Anti-de-Sitter spacetime and its uses}, author={G. W. Gibbons}, journal={arXiv: High Energy Physics - Theory}, year={2011} }

This is a pedagogic account of some of the global properties of Anti-de-Sitter spacetime with a view to their application to the AdS/CFT correspondence. Particular care is taken over the distinction between Anti-de-Sitter and it's covering space.
Written version of lectures given at 2nd Samos Meeting held at at Pythagoreon, Samos, Greece, 31 August - 4 September 1998 and published as Anti-de-Sitter spacetime and its uses, in Mathematical and Quantum Aspects of Relativity and Cosmology…

## 58 Citations

### New Dynamics in the Anti-de Sitter Universe AdS5

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- 2013

This paper deals with the propagation of the gravitational waves in the Poincaré patch of the 5-dimensional Anti-de Sitter universe. We construct a large family of unitary dynamics with respect to…

### Simple generalizations of anti-de Sitter spacetime

- Physics, Mathematics
- 2010

We consider new cosmological solutions which generalize the cosmological patch of the anti-de Sitter (AdS) spacetime, allowing for fluids with equations of state such that w ≠ −1. We use them to…

### The Dirac System on the Anti-de Sitter Universe

- Mathematics
- 2008

We investigate the global solutions of the Dirac equation on the Anti- de-Sitter Universe. Since this space is not globally hyperbolic, the Cauchy problem is not, a priori, well-posed. Nevertheless…

### Quantization of a scalar field in two Poincaré patches of anti-de Sitter space and AdS/CFT

- Physics
- 2014

### Singularities in and Stability of Ooguri-Vafa-Verlinde Cosmologies

- Physics, Mathematics
- 2005

Ooguri, Vafa, and Verlinde have recently proposed an approach to string cosmology which is based on the idea that cosmological string moduli should be selected by a Hartle-Hawking wave function. They…

### Dynamics in non-globally-hyperbolic static spacetimes: III. Anti-de Sitter spacetime

- Mathematics
- 2004

In recent years, there has been considerable interest in theories formulated in anti-de Sitter (AdS) spacetime. However, AdS spacetime fails to be globally hyperbolic, so a classical field satisfying…

### On the AdS/CFT correspondence and quantum entanglement

- Physics
- 2021

String theory provides one of the most deepest insights into quantum gravity. Its single most central and profound result is the gauge/gravity duality, i.e. the emergence of gravity from gauge…

### The Arithmetic Geometry of AdS2 and its Continuum Limit

- Mathematics
- 2021

According to the 't Hooft-Susskind holography, the black hole entropy is carried by microscopic degrees of freedom, which live in the near horizon region and have a Hilbert space of states of finite…

### Embedding FLRW geometries in pseudo-Euclidean and anti-de Sitter spaces

- Mathematics
- 2017

Contrary to the general consensus in the literature that Friedmann--Lema\^{i}tre--Robertson--Walker (FLRW) geometries are of embedding class one (i.e.\ embeddable in one higher dimensional…

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