Cohomogeneity One Actions on Anti de Sitter Spacetimes

Cohomogeneity One Anti De Sitter Space H_1^3

cohomogeneity one anti de sitter space h_1^3

On Isometric Embeddings into Anti-de Sitter Spacetimes

Weyl’s theorem was proved independently by Nirenberg [15] and Pogorelov [16] using different approaches. Nirenberg used the continuity method that is more familiar to geometric analysts. The Pogorelov approach consists of two steps. First, Pogorelov exhibited a generalized solution as the limit of polyhedra and then Pogorelov proved the regularity of this generalized solution. Later, Pogorelov ...

Kerr-de Sitter spacetimes

The equation of cosmic string loops in Kerr-de Sitter spacetimes is derived. Having solved the equation numerically, we find that the loops can expand and exist except for too small ones.

Semiclassical quantization of circular strings in de Sitter and anti-de Sitter spacetimes.

We compute the exact equation of state of circular strings in the (2+1) dimensional de Sitter (dS) and anti de Sitter (AdS) spacetimes, and analyze its properties for the different (oscillating, contracting and expanding) strings. The string equation of state has the perfect fluid form P = (γ − 1)E, with the pressure and energy expressed closely and completely in terms of elliptic functions, th...