Effects of a nonvanishing cosmological constant on the spherically symmetric vacuum manifold

Mathematics

Scientific paper

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

Scientific paper

The conformal structure of timelike 2-surfaces of the vacuum manifold is examined in detail in cases where the cosmological constant (Lambda) is not assumed to be zero. For positive Lambda with 3m not exceeding the inverse square root of Lambda, 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.

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