Asymptotically Anti de-Sitter Spacetimes

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In summary, asymptotically anti de-Sitter (AdS) spacetimes are a type of spacetime that approaches an anti de-Sitter spacetime at large distances. They are characterized by a negative cosmological constant and have a different asymptotic behavior than other types of spacetimes. The study of asymptotically AdS spacetimes is significant because they have many applications in theoretical physics, including in the study of black holes, quantum gravity, and holography. It is currently unknown if they exist in the real universe, but they are often used as a theoretical model. The AdS/CFT correspondence, which relates quantum gravity and quantum field theory, has been extensively studied in the context of asymptotically AdS spacetimes.
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spaghetti3451
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The holographic principle states that

some quantum states of some quantum field theories encodes information about the asymptotically anti de-Sitter spacetimes of some theories of quantum gravity.

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What is the metric for a spacetime which is asymptotically anti de-Sitter?
 
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spaghetti3451 said:
The holographic principle states

In what reference?

spaghetti3451 said:
What is the metric for a spacetime which is asymptotically anti de-Sitter?

Does the reference you quoted give a metric, or a reference to one?
 
  • #3

1. What is an asymptotically anti de-Sitter (AdS) spacetime?

An asymptotically anti de-Sitter spacetime is a type of spacetime that approaches an anti de-Sitter spacetime at large distances. Anti de-Sitter spacetime is a solution to Einstein's equations of general relativity that has a negative cosmological constant, representing a universe with a constant negative curvature.

2. How are asymptotically AdS spacetimes different from other types of spacetimes?

Asymptotically AdS spacetimes have a specific asymptotic behavior at large distances that is different from other types of spacetimes. This behavior is characterized by a negative cosmological constant, which creates a different curvature and energy density than other types of spacetimes.

3. What is the significance of studying asymptotically AdS spacetimes?

Studying asymptotically AdS spacetimes is important because they have many applications in theoretical physics, including in the study of black holes, quantum gravity, and holography. They also provide a useful framework for understanding the behavior of spacetime in extreme conditions.

4. Can asymptotically AdS spacetimes exist in the real universe?

Asymptotically AdS spacetimes are often used as a theoretical model for understanding the universe, but it is currently unknown if they exist in the real universe. Some theories suggest that our universe may have a small negative cosmological constant, which could make it asymptotically AdS at very large scales.

5. How do asymptotically AdS spacetimes relate to the AdS/CFT correspondence?

The AdS/CFT correspondence, also known as the holographic principle, is a theoretical framework that relates quantum gravity in a higher-dimensional asymptotically AdS spacetime to a quantum field theory on a lower-dimensional boundary. This relationship has led to many important insights in theoretical physics and has been extensively studied in the context of asymptotically AdS spacetimes.

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