Conformal hyperbolicity of Lorentzian warped products

Mathematics

Scientific paper

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Hyperbolic Coordinates, Lorentz Transformations, Manifolds (Mathematics), Space-Time Functions, Conformal Mapping, Cosmology, Relativistic Theory

Scientific paper

A space-time M is said to be conformally hyperbolic if the intrinsic conformal Lorentz pseudodistance dM is a true distance. In this paper, criteria which insure the conformal hyperbolicity of certain space-times which are generalizations of the Robertson-Walker spaces are derived. Then dM is determined explicitly for Einstein-de Sitter space, an important cosmological model.

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