AdS4 Radius & Cosmological Constant: Is n Relevant?

  • Thread starter Thread starter gentsagree
  • Start date Start date
  • Tags Tags
    Radius
Click For Summary
The AdS4 radius is connected to the cosmological constant through the formula \Lambda = -3/b^2. This relationship is specific to four dimensions, raising the question of its applicability across different dimensions. In general, for any dimension d, the cosmological constant is expressed as \Lambda = -((d-1)(d-2))/(2\ell^2). Thus, the relation between the AdS radius and the cosmological constant varies with the number of dimensions. Understanding these relationships is crucial for theoretical physics in higher-dimensional models.
gentsagree
Messages
93
Reaction score
1
The AdS4 radius is related to the cosmological constant by \Lambda =\frac{-3}{b^{2}}.

Is this true in any number of dimensions, or is there a generalised relation depending on number of dimensions n?
 
Physics news on Phys.org
In generic dimension d, the cosmological constant is related to AdS radius via \Lambda=-\frac{(d-1)(d-2)}{2\ell^2}.
 

Thread 'Question about Parallel Transport'

In this video I can see a person walking around lines of curvature on a sphere with an arrow strapped to his waist. His task is to keep the arrow pointed in the same direction How does he do this ? Does he use a reference point like the stars? (that only move very slowly) If that is how he keeps the arrow pointing in the same direction, is that equivalent to saying that he orients the arrow wrt the 3d space that the sphere is embedded in? So ,although one refers to intrinsic curvature...
View full post »

Similar threads

Undergrad EFE with cosmological constant
  • · Replies 7 ·
Replies
7
Views
1K
Undergrad Calculate Ricci Scalar & Cosm. Const of AdS-Schwarzschild Metric in d-Dimensions
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Radius Excess of Curvature in Relativity: Explained
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad The Units of the Cosmological Constant: eV^2
  • · Replies 4 ·
Replies
4
Views
2K
High School Calc Excess Rad on Earth in Curved 3D Space | Feynman Lectures 6-2
  • · Replies 29 ·
Replies
29
Views
3K
Undergrad Cosmological Constant Term in Einstein Equations
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Einstein Field Eqns: East/West Coast Metrics
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad Is the Schwarzchild Radius Relativistic or Newtonian?
  • · Replies 75 ·
3
Replies
75
Views
7K
Undergrad Can We Explain the Cosmological Constant as a Tensorial Concept?
  • · Replies 12 ·
Replies
12
Views
2K
Undergrad Einstein brother-in-law elevator
  • · Replies 11 ·
Replies
11
Views
2K