Effects of a nonvanishing cosmological constant on the spherically symmetric vacuum manifold
Abstract
The conformal structure of timelike 2surfaces of the vacuum manifold is examined in detail in the cases when the cosmological constant, λ, is not assumed to be zero. For λ>0 with 3m<=Λ^{12} it is shown that these surfaces constitute the junction of an infinite number of regions and that the complete manifold may be represented in a causal way by a finite number of regions.
 Publication:

Physical Review D
 Pub Date:
 June 1977
 DOI:
 10.1103/PhysRevD.15.3513
 Bibcode:
 1977PhRvD..15.3513L
 Keywords:

 Constants;
 Cosmology;
 Manifolds (Mathematics);
 Vacuum;
 Conformal Mapping;
 Field Theory (Physics);
 Symmetry;
 Astrophysics