De Sitter kinks.

Mathematics – Logic

Scientific paper

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Cosmology: De Sitter Universe, Cosmological Constant

Scientific paper

In this paper a kink solution to the vacuum Einstein equations with cosmological constant Λ>0 is discussed. The solution is well-defined on the whole space-time manifold. An appropriate coordinate transformation shows the solution to be locally the same as the de Sitter solution. Globally, the two are distinct, since the light-cone field for the kink solution is homotopically nontrivial.

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